Hex Calculator & Number Base Converter

Quick Answer

Hexadecimal is a base-16 number system using the digits 0–9 and A–F, where each hex digit equals exactly four binary bits and two hex digits equal one byte. To convert hex to decimal, multiply each digit by 16 raised to its position and add — e.g. A5 = 10×16 + 5 = 165. This developer-grade workbench converts between binary, octal, decimal, hex, Base32/36 and any base, performs hex & bitwise arithmetic, decodes ASCII/Unicode, analyses hex dumps, converts colours and network values — all instantly and 100% in your browser.

Key Takeaways

Hexadecimal is base-16 (digits 0–9 and A–F); one hex digit equals exactly four binary bits, and two hex digits equal one byte.
Convert hex→decimal by positional expansion, and decimal→hex by repeated division by 16 — this tool shows every step.
It handles any base from 2 to 36 with arbitrary-precision BigInt, so conversions and arithmetic are exact at any size.
Width-aware bitwise ops, two’s/one’s complement and overflow detection model real 8/16/32/64-bit hardware behaviour.
Built-in colour, ASCII/Unicode, hex-dump, entropy and networking tools cover the full developer workflow — all 100% in-browser.

What Is Hexadecimal?

Hexadecimal — “hex” for short — is a base-16 positional number system. Where the familiar decimal system uses ten symbols (0–9), hexadecimal uses sixteen: the digits 0–9 followed by the letters A, B, C, D, E and F to represent the values ten through fifteen. Each position in a hex number carries a weight that is a power of sixteen, so the right-most digit is the “ones” place (16⁰), the next is the “sixteens” place (16¹), then 16², and so on.

Hexadecimal exists because of a neat mathematical coincidence: sixteen is two to the fourth power. That means a single hex digit corresponds exactly to four binary bits, and two hex digits represent precisely one eight-bit byte. This tidy relationship is why hexadecimal is everywhere in computing — it is the most compact, readable shorthand for the binary data that machines actually work with.

The Hexadecimal Number System

In any positional system, the value of a number is the sum of each digit multiplied by the base raised to the digit’s position. In hexadecimal the base is sixteen. To read a hex number, you assign each digit a place value: the value 2F3A, for instance, is (2 × 16³) + (15 × 16²) + (3 × 16¹) + (10 × 16⁰) = 8192 + 3840 + 48 + 10 = 12,090 in decimal.

Counting in hex runs 0, 1, 2 … 9, A, B, C, D, E, F, and then rolls over to 10 (which is sixteen in decimal), 11, 12, and so on. This can be confusing at first because “10” in hex is not ten — it is sixteen. The 0x prefix (as in 0x10) is the conventional way to make the base explicit and avoid that ambiguity in code and documentation.

Why Computers Use Hexadecimal

Computers are fundamentally binary machines: every value is ultimately a pattern of bits. But long binary strings are tedious and error-prone for humans to read and write — the byte 11010110 is hard to scan, while its hex equivalent D6 is instantly legible. Because each hex digit maps cleanly to four bits, converting between binary and hex is mechanical and lossless, giving the best of both worlds.

This compactness matters across the stack. Memory addresses, machine instructions, file format signatures, network packets, cryptographic keys and colour values are all routinely expressed in hex. It strikes the ideal balance: short enough to read at a glance, yet still aligned to the underlying binary so engineers never lose sight of the bits.

Hex vs Binary

Hexadecimal and binary describe the same values; they differ only in how many symbols they use and how long the resulting strings are. Binary (base 2) mirrors hardware exactly — every digit is a literal bit — but numbers become long quickly. A single byte needs eight binary digits but only two hex digits.

The practical workflow is to think in hex for readability and drop into binary when you need to reason about individual bits, such as when working with flags or bitmasks. Converting between the two is trivial: split the binary into nibbles (groups of four bits) from the right, and translate each nibble to one hex digit.

Hex vs Decimal

Decimal is natural for everyday human arithmetic, but it does not align with the binary structure of computers. Sixteen has factors that match byte and word boundaries, while ten does not, so values like 255 (a full byte) look arbitrary in decimal yet appear as the clean FF in hex.

For this reason, low-level programming, hardware design and data analysis tend to prefer hex, while business logic and user-facing numbers stay in decimal. A good hex calculator lets you move fluidly between the two so you can choose whichever representation makes a particular problem clearest.

Hexadecimal in Programming

Programmers encounter hex constantly. Source code uses hex literals (0xFF, 0x1F) for bit masks, flags and magic numbers. Compilers emit machine code that is inspected in hex, and debuggers display register and memory contents in hex. Even error codes and status registers are typically documented in hexadecimal.

Working comfortably with hex is therefore a core developer skill. Operations like masking with AND, setting bits with OR, toggling with XOR and shifting to multiply or divide by powers of two are expressed naturally in hex and binary. This calculator implements all of them with width-aware results so the behaviour matches your target data type.

Hexadecimal in Networking

Network engineering relies heavily on hex. MAC addresses are six hex byte-pairs that uniquely identify hardware interfaces. When inspecting packets in tools like Wireshark, the raw bytes of headers and payloads are shown in hex alongside their decoded meaning, because hex aligns with the byte-oriented structure of protocols.

Converting IP addresses, port numbers and protocol fields to and from hex is a routine task when debugging connectivity, writing packet parsers or configuring low-level network gear. The networking section of this tool converts IPv4 addresses, MAC addresses and ports between their human-readable and hex forms in both directions.

Hexadecimal in Cybersecurity

Security professionals live in hex. Reverse engineers read disassembled binaries and patch bytes directly in hex editors. Malware analysts scan hex dumps for signatures, shellcode and embedded strings. Forensic investigators carve files from raw disk images by recognising hex “magic numbers” at the start of file formats.

Entropy analysis — measuring how random a region of bytes is — helps distinguish encrypted or packed payloads from ordinary text. This tool’s hex dump analyser computes Shannon entropy, byte-frequency statistics and printable ratios, giving the kind of quick triage signals analysts use to decide where to look more closely.

Hexadecimal in Memory Addressing

Memory is organised as a vast array of bytes, each with a numeric address. Those addresses are written in hex because the notation aligns with the binary address bus and with byte, word and page boundaries. An address like 0x1000 immediately signals a 4 KB-aligned location to an experienced engineer.

Pointer arithmetic, structure offsets and alignment calculations are all clearer in hex. The memory toolkit here computes effective addresses from a base and offset, and shows the padding required to align an address to a given boundary — everyday operations in systems programming, driver development and embedded work.

Hex Color Codes

On the web and in design software, colours are commonly written as hex codes in the form #RRGGBB. Each pair of hex digits specifies the intensity of the red, green and blue channels from 00 to FF (0 to 255). #FF0000 is pure red, #00FF00 pure green and #0000FF pure blue, while #FFFFFF is white and #000000 is black.

An optional fourth pair (#RRGGBBAA) adds an alpha channel for transparency. This calculator converts hex colours to and from RGB, RGBA, HSL, HSV and CMYK, previews the colour, generates tints, shades and harmonies, and checks contrast against WCAG accessibility thresholds so your text remains legible.

Hexadecimal Arithmetic

You can add, subtract, multiply and divide directly in hexadecimal, carrying and borrowing in groups of sixteen rather than ten. For example, adding 9 + 7 in hex gives 10 (sixteen), just as 9 + 7 reaches the next place value in decimal. Doing this by hand is possible but error-prone, especially with the letter digits.

In practice, most people convert hex operands to decimal, perform the arithmetic, and convert the result back. This calculator automates the whole cycle with arbitrary-precision BigInt maths — so even very large hex values are exact — and it shows the intermediate decimal working so you can follow and verify each step.

Bitwise Operations

Bitwise operations act on the individual bits of a value. AND keeps bits set in both operands; OR sets bits present in either; XOR sets bits that differ; and NOT inverts every bit. The compound gates NAND, NOR and XNOR are the inverses of AND, OR and XOR respectively, and NAND/NOR are “universal” because any logic can be built from them.

Shifts and rotates move bits sideways: a left shift multiplies by powers of two, a right shift divides, an arithmetic shift preserves the sign bit, and a rotate wraps bits around the ends. Because results depend on the data type, this tool lets you pick an 8, 16, 32 or 64-bit width and visualises every operation in binary.

ASCII and Hexadecimal

ASCII assigns the basic Latin characters, digits and punctuation to numeric codes from 0 to 127, which are frequently written in hex. The capital letter “A” is 0x41, “0” is 0x30 and a space is 0x20. When you view binary data as text, you are interpreting each byte as an ASCII (or extended) character code.

Converting between hex and ASCII is essential for reading strings embedded in files, crafting test inputs and understanding protocol messages. This tool converts text to hex and hex back to text, and a hex dump pairs each byte with its printable ASCII character so you can spot human-readable content inside binary data.

Unicode and Hexadecimal

Modern text uses Unicode, which assigns every character a code point written as U+ followed by hex digits — U+0041 for “A”, U+1F600 for the grinning-face emoji. Unicode text is stored using encodings such as UTF-8 and UTF-16, whose byte sequences are themselves usually examined in hex.

Understanding the relationship between code points and their UTF-8/UTF-16 byte representations is vital for handling internationalised text correctly. This tool converts between text, code points and hex across encodings, helping you debug mojibake, validate byte sequences and work confidently with multilingual data.

Hex Dumps Explained

A hex dump presents raw bytes in three aligned columns: the offset (the position of the first byte on each line, in hex), the byte values themselves in hex, and an ASCII rendering where printable bytes show as characters and others as dots. This layout makes binary data navigable and is the standard view in hex editors and debuggers.

Reading a dump, you can locate file headers, find embedded strings, measure structure sizes and spot patterns or anomalies. The file viewer in this tool produces a full hex dump entirely in your browser, with offsets, ASCII and byte statistics, so you can inspect any file without uploading it anywhere.

Base Conversions

Converting between number bases follows a consistent recipe: interpret the source digits in their base to get a single value, then express that value in the target base by repeated division. Binary, octal, decimal and hexadecimal are the most common bases, but the same algorithm works for any base from 2 to 36, including Base32 and Base36.

This universal converter shows your value simultaneously in binary, octal, decimal, hex, Base32 and Base36, alongside ASCII and text interpretations, and supports custom bases. Because it uses BigInt internally, conversions are exact for numbers of any size — far beyond the limits of standard 32 or 64-bit integers.

Developer Use Cases

Day to day, developers use a hex calculator to decode error and status codes, build and interpret bit flags, compute memory offsets, inspect file and network bytes, and translate colour values. Quick, reliable conversion between bases removes a constant source of small but costly mistakes.

Having calculator, bitwise, colour, ASCII/Unicode, dump and networking tools in one place — with history, favourites and a step-by-step view — turns a scattered set of one-off lookups into a single fast workflow. The API sandbox even shows how to reproduce each conversion in JavaScript, Python, Go and more for use in your own code.

Computer Architecture & Hex

At the hardware level, registers, buses and instruction encodings are all binary, and hex is the lens engineers use to read them. Opcode tables, register maps and status flags in processor manuals are documented in hex, and debuggers present CPU state the same way.

Word sizes (8, 16, 32, 64 bits) determine the range of values and how overflow and sign behave — which is why this tool makes bit width a first-class setting. Choosing the right width lets you model exactly how a value will be stored and manipulated on real hardware, including two’s-complement signed interpretation and overflow detection.

Embedded Systems Applications

Embedded and firmware development is intensely hex-oriented. Peripheral registers are configured by writing specific bit patterns, usually documented as hex masks. Memory maps lay out where RAM, flash and memory-mapped peripherals live, all in hex. Debugging often means reading raw register values and decoding individual bit fields.

The toolkit here supports exactly this work: width-aware bitwise operations and masks, two’s/one’s complement, memory-address and alignment maths, and a hex dump for inspecting firmware images. Together they cover the routine calculations that fill an embedded engineer’s day without needing a separate utility for each.

Common Hex Examples

A handful of hex values appear so often they are worth memorising. FF is 255 (a full byte). 0x100 is 256. 7FFF and FFFF are the signed and unsigned maxima of a 16-bit value. 0x20 is the ASCII space and 0x0A is a line feed. Colour-wise, #FFFFFF is white and #000000 is black.

There are also famous “magic” values used as markers in memory and file formats — 0xDEADBEEF, 0xCAFEBABE and 0xFEEDFACE among them — chosen because they spell readable words in hex and stand out in a dump. Recognising these patterns speeds up debugging and reverse engineering enormously.

Best Practices

When working with hex, always make the base explicit with prefixes (0x, 0b, 0o) to avoid ambiguity, and group long values into bytes or nibbles for readability. Be deliberate about bit width and signedness — many bugs come from assuming the wrong size or forgetting two’s-complement behaviour.

For colours, verify contrast against WCAG thresholds rather than eyeballing it, and prefer named constants over magic hex literals in code where clarity matters. Finally, when handling sensitive binary data, use tools like this one that process everything locally so your bytes never leave your machine.

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Frequently Asked Questions

What is hexadecimal?

Hexadecimal (often shortened to “hex”) is a base-16 number system that uses sixteen symbols: 0–9 for values zero to nine and A–F for values ten to fifteen. Because 16 is a power of 2 (2⁴), each hex digit maps exactly to four binary bits, which makes hex a compact, human-friendly way to represent binary data used throughout computing.

How do I convert hex to decimal?

Multiply each hex digit by 16 raised to the power of its position (counting from 0 on the right) and add the results. For example, A5 = (10 × 16¹) + (5 × 16⁰) = 160 + 5 = 165. This tool does it instantly and shows the full step-by-step expansion.

How do I convert decimal to hex?

Repeatedly divide the decimal number by 16 and record the remainders; reading the remainders from bottom to top gives the hex value. For example, 165 ÷ 16 = 10 remainder 5, and 10 ÷ 16 = 0 remainder 10 (A), giving A5.

Why is hexadecimal used in programming?

Hex is used because it is a compact representation of binary: one hex digit equals exactly four bits, and two hex digits equal one byte. This makes memory addresses, machine code, colour codes, bit masks and binary data far shorter and easier to read than long strings of 0s and 1s.

What is a hex color code?

A hex colour code represents a colour as #RRGGBB, where RR, GG and BB are two-digit hex values (00–FF) for the red, green and blue channels. For example, #FF0000 is pure red. An optional fourth pair (#RRGGBBAA) adds alpha (transparency).

What is a hex dump?

A hex dump is a view of raw binary data displayed as hexadecimal byte values, usually alongside the byte offset and an ASCII representation. Developers use hex dumps to inspect files, debug binary formats and analyse memory or network data.

How does bitwise AND work?

Bitwise AND compares two numbers bit by bit and returns 1 only where both bits are 1. For example, 1100 AND 1010 = 1000. It is commonly used to mask (extract) specific bits from a value.

How do memory addresses use hex?

Memory addresses are written in hex because it compactly represents the binary address bus and aligns naturally with byte and word boundaries. For instance, the address 0x7FFF maps cleanly to a 16-bit binary pattern, making offsets and alignment easy to reason about.

What is two’s complement?

Two’s complement is the standard way computers represent signed integers. To negate a number you flip all its bits (one’s complement) and add 1. It lets the same addition hardware handle both positive and negative numbers and has a single representation of zero.

What is the difference between hex and binary?

Both represent the same underlying values, but binary uses base 2 (only 0 and 1) while hex uses base 16. One hex digit equals four binary bits, so hex is roughly four times shorter and far easier for humans to read, while binary mirrors the hardware directly.

How many bits are in one hex digit?

Exactly four bits (a “nibble”). Two hex digits therefore represent eight bits, which is one byte — the reason a byte is commonly written as two hex characters (00–FF).

What does 0x mean?

The 0x prefix indicates that the number that follows is written in hexadecimal. For example, 0x1F means 1F in hex, which equals 31 in decimal. Similarly, 0b denotes binary and 0o denotes octal.

What is the maximum value of FF?

FF in hexadecimal equals 255 in decimal (15 × 16 + 15). It is the largest value that fits in a single byte (8 bits), which is why colour channels and many byte fields range from 00 to FF.

How do I convert hex to binary?

Convert each hex digit to its 4-bit binary equivalent and concatenate them. For example, 2F → 0010 1111. This works because 16 is 2⁴, so every hex digit maps to exactly four bits.

How do I convert binary to hex?

Group the binary digits into sets of four from the right (padding with leading zeros if needed) and convert each group to one hex digit. For example, 1011 0110 → B6.

What is octal and how does it relate to hex?

Octal is base 8, using digits 0–7, where each digit equals three binary bits. Both octal and hex are shorthand for binary; hex (4 bits per digit) is more common in modern computing because it aligns with 8-bit bytes.

What is Base32 and Base36?

Base32 and Base36 are positional number systems with radices 32 and 36. Base36 uses 0–9 then A–Z, packing more value into fewer characters, which is useful for compact identifiers and short codes. This tool converts between any base from 2 to 36.

How does bitwise XOR work?

XOR (exclusive OR) returns 1 where the two bits differ and 0 where they are the same. For example, 1100 XOR 1010 = 0110. XOR is widely used in checksums, simple encryption and toggling bits.

What is a bit shift?

A bit shift moves all bits left or right by a number of positions. A left shift by n multiplies the value by 2ⁿ; a right shift divides by 2ⁿ. Logical shifts fill with zeros, while arithmetic right shifts preserve the sign bit.

What is the difference between logical and arithmetic shift?

A logical shift always fills vacated bits with zeros. An arithmetic right shift fills with copies of the sign bit so that signed negative numbers stay negative. Left shifts behave the same in both.

What is a bit rotate?

A rotate (circular shift) moves bits left or right, but the bits that fall off one end wrap around to the other end instead of being lost. Rotates are common in cryptography and hashing algorithms.

How is hex used in networking?

MAC addresses are written in hex (e.g., 00:1A:2B:3C:4D:5E), and IP addresses, ports and protocol fields are frequently shown in hex when inspecting packets. Hex makes byte-aligned network data easy to read and compare.

How do I convert a MAC address to hex?

A MAC address is already hexadecimal — six pairs of hex digits. You can strip the separators to get a continuous 12-digit hex value, for example 00:1A:2B:3C:4D:5E → 0x001A2B3C4D5E.

How do I convert an IP address to hex?

Convert each of the four decimal octets to two hex digits and concatenate them. For example, 192.168.1.1 → C0A80101 (0xC0A80101).

What is ASCII and how does it relate to hex?

ASCII maps characters to numeric codes 0–127, which are often written in hex. For example, the letter “A” is 65 in decimal, or 0x41 in hex. Converting hex to ASCII reveals the text encoded in byte data.

What is Unicode in hex?

Unicode assigns each character a code point, usually written as U+ followed by hex digits — for example U+1F600 for 😀. Hex is the conventional notation for code points and for UTF-8/UTF-16 byte encodings.

What is entropy in a hex dump?

Entropy measures the randomness of data on a scale from 0 to 8 bits per byte. High entropy (near 8) suggests encrypted or compressed data, while low entropy indicates text or repetitive content. It is a key signal in malware and forensic analysis.

Can this tool handle very large numbers?

Yes. The engine uses arbitrary-precision BigInt arithmetic, so it converts and calculates with numbers far beyond 64 bits without losing precision — useful for cryptographic values and large addresses.

What bit widths are supported?

Bitwise operations, complements and overflow detection support 8, 16, 32 and 64-bit widths, so you can model exactly how a value behaves on a specific architecture or data type.

What is one’s complement?

One’s complement is formed by flipping every bit of a binary number (0→1 and 1→0). It is an older signed-number representation and the first step in computing two’s complement.

How do I detect overflow?

Overflow occurs when a result does not fit in the chosen bit width. For signed addition, it happens when two same-sign operands produce a different-sign result. This tool flags both signed and unsigned overflow for your selected width.

What is a nibble?

A nibble is four bits — half a byte — and corresponds exactly to one hexadecimal digit. The term is a playful counterpart to “byte”.

Why do colors use FF as the maximum?

Each colour channel is stored in one byte, whose range is 00–FF (0–255). FF therefore represents the maximum intensity of that channel, so #FFFFFF is white and #000000 is black.

What is the contrast ratio in colour accessibility?

Contrast ratio measures the luminance difference between text and background, from 1:1 to 21:1. WCAG requires at least 4.5:1 for normal text (AA) and 7:1 for AAA. This tool computes the ratio and shows pass/fail for each level.

How do I convert hex to RGB?

Split the six-digit hex into three pairs and convert each pair to decimal. For example, #1E90FF → R=0x1E=30, G=0x90=144, B=0xFF=255, i.e. rgb(30, 144, 255).

Is my data uploaded when I view a file as hex?

No. The hex dump viewer reads your file locally in the browser using the File API; the bytes are never uploaded to any server, so even sensitive files stay completely private.

Can I convert multiple values at once?

Yes. The bulk converter accepts a list of values (one per line or pasted text) and converts them all between your chosen bases, with results you can copy or download.

What is the difference between NAND and AND?

NAND is simply the inverse of AND: it returns 0 only when both inputs are 1, and 1 otherwise. NAND (and NOR) are “universal” gates because any logic circuit can be built from them alone.

How do I represent a negative number in hex?

Negative numbers are usually stored using two’s complement within a fixed bit width. For example, −1 in 8-bit is 0xFF, and −2 is 0xFE. This tool shows the two’s-complement hex for any width.

What does 0xDEADBEEF mean?

0xDEADBEEF is a famous “magic” hex value (3,735,928,559 in decimal) used by developers to mark uninitialised or freed memory because it is easy to spot in a hex dump. It is one of several readable hex words like 0xCAFEBABE and 0xFEEDFACE.

How accurate are the conversions?

They are exact. Base conversions and integer arithmetic use BigInt, so there is no floating-point rounding — results are mathematically precise regardless of size.

Can I use this offline?

Yes. Once the page loads, every conversion, calculation, colour operation and hex dump runs locally in your browser with no network calls.

How do I convert hex to UTF-8 text?

Group the hex into byte pairs and decode the byte sequence as UTF-8. This tool does it automatically and also supports ASCII and UTF-16 decoding for the same input.

What is the alpha channel in #RRGGBBAA?

The optional final two hex digits (AA) represent the alpha channel — the opacity of the colour from 00 (fully transparent) to FF (fully opaque). It controls how the colour blends with what is behind it.

Why does hex use letters A–F?

Because base 16 needs sixteen distinct symbols but the decimal system only provides ten (0–9). The letters A–F were adopted to represent the values 10–15 in a single character.

How do I do hex arithmetic by hand?

You can add, subtract, multiply and divide directly in hex, carrying and borrowing in groups of 16 instead of 10 — but it is error-prone. Most people convert to decimal, compute, and convert back, which is exactly what this calculator automates while showing the steps.

What is a bitmask?

A bitmask is a value used with bitwise operations to set, clear, toggle or test specific bits. For example, ANDing with 0x0F keeps only the low four bits, and ORing with 0x80 sets the highest bit of a byte.

Is this calculator free?

Yes — completely free, with no sign-up, no watermark and no limits. Every feature runs in your browser.

Which professionals use a hex calculator?

Software developers, computer-science students, embedded and firmware engineers, cybersecurity and reverse-engineering professionals, network engineers, data scientists and DevOps engineers all rely on hex tools for daily work.

Can I share a conversion with a link?

Yes. The share button copies a URL that encodes your current value and bases, so opening it restores the exact conversion for a colleague or your own reference.

Built for developers

Created and maintained by the Omnitool engineering team and used across millions of developer calculations every month.

Methodology

All base conversions and integer arithmetic use arbitrary-precision BigInt, so results are mathematically exact at any size — no floating-point error.

Version 1.0 · Updated June 2026

Convert, calculator, bitwise, colour, ASCII/Unicode, file hex dump, networking, bulk and API modules with history & favourites.

Accuracy & privacy: Conversions and calculations are computed with exact integer arithmetic. Files you inspect in the hex dump viewer are read locally in your browser and never uploaded — all processing happens on your device.

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Quick Answer

Key Takeaways

Hexadecimal is base-16 (digits 0–9 and A–F); one hex digit equals exactly four binary bits, and two hex digits equal one byte.
Convert hex→decimal by positional expansion, and decimal→hex by repeated division by 16 — this tool shows every step.
It handles any base from 2 to 36 with arbitrary-precision BigInt, so conversions and arithmetic are exact at any size.
Width-aware bitwise ops, two’s/one’s complement and overflow detection model real 8/16/32/64-bit hardware behaviour.
Built-in colour, ASCII/Unicode, hex-dump, entropy and networking tools cover the full developer workflow — all 100% in-browser.

What Is Hexadecimal?

The Hexadecimal Number System

Why Computers Use Hexadecimal

Hex vs Binary

Hex vs Decimal

Hexadecimal in Programming

Hexadecimal in Networking

Hexadecimal in Cybersecurity

Hexadecimal in Memory Addressing

Hex Color Codes

Hexadecimal Arithmetic

Bitwise Operations

ASCII and Hexadecimal

Unicode and Hexadecimal

Hex Dumps Explained

Base Conversions

Developer Use Cases

Computer Architecture & Hex

Embedded Systems Applications

Common Hex Examples

Best Practices

Related Tools

More developer & conversion utilities.

Frequently Asked Questions

What is hexadecimal?

How do I convert hex to decimal?

How do I convert decimal to hex?

Why is hexadecimal used in programming?

What is a hex color code?

What is a hex dump?

How does bitwise AND work?

Bitwise AND compares two numbers bit by bit and returns 1 only where both bits are 1. For example, 1100 AND 1010 = 1000. It is commonly used to mask (extract) specific bits from a value.

How do memory addresses use hex?

What is two’s complement?

What is the difference between hex and binary?

How many bits are in one hex digit?

Exactly four bits (a “nibble”). Two hex digits therefore represent eight bits, which is one byte — the reason a byte is commonly written as two hex characters (00–FF).

What does 0x mean?

The 0x prefix indicates that the number that follows is written in hexadecimal. For example, 0x1F means 1F in hex, which equals 31 in decimal. Similarly, 0b denotes binary and 0o denotes octal.

What is the maximum value of FF?

FF in hexadecimal equals 255 in decimal (15 × 16 + 15). It is the largest value that fits in a single byte (8 bits), which is why colour channels and many byte fields range from 00 to FF.

How do I convert hex to binary?

Convert each hex digit to its 4-bit binary equivalent and concatenate them. For example, 2F → 0010 1111. This works because 16 is 2⁴, so every hex digit maps to exactly four bits.

How do I convert binary to hex?

Group the binary digits into sets of four from the right (padding with leading zeros if needed) and convert each group to one hex digit. For example, 1011 0110 → B6.

What is octal and how does it relate to hex?

What is Base32 and Base36?

How does bitwise XOR work?

XOR (exclusive OR) returns 1 where the two bits differ and 0 where they are the same. For example, 1100 XOR 1010 = 0110. XOR is widely used in checksums, simple encryption and toggling bits.

What is a bit shift?

What is the difference between logical and arithmetic shift?

A logical shift always fills vacated bits with zeros. An arithmetic right shift fills with copies of the sign bit so that signed negative numbers stay negative. Left shifts behave the same in both.

What is a bit rotate?

A rotate (circular shift) moves bits left or right, but the bits that fall off one end wrap around to the other end instead of being lost. Rotates are common in cryptography and hashing algorithms.

How is hex used in networking?

How do I convert a MAC address to hex?

A MAC address is already hexadecimal — six pairs of hex digits. You can strip the separators to get a continuous 12-digit hex value, for example 00:1A:2B:3C:4D:5E → 0x001A2B3C4D5E.

How do I convert an IP address to hex?

Convert each of the four decimal octets to two hex digits and concatenate them. For example, 192.168.1.1 → C0A80101 (0xC0A80101).

What is ASCII and how does it relate to hex?

What is Unicode in hex?

What is entropy in a hex dump?

Can this tool handle very large numbers?

What bit widths are supported?

Bitwise operations, complements and overflow detection support 8, 16, 32 and 64-bit widths, so you can model exactly how a value behaves on a specific architecture or data type.

What is one’s complement?

One’s complement is formed by flipping every bit of a binary number (0→1 and 1→0). It is an older signed-number representation and the first step in computing two’s complement.

How do I detect overflow?

What is a nibble?

A nibble is four bits — half a byte — and corresponds exactly to one hexadecimal digit. The term is a playful counterpart to “byte”.

Why do colors use FF as the maximum?

Each colour channel is stored in one byte, whose range is 00–FF (0–255). FF therefore represents the maximum intensity of that channel, so #FFFFFF is white and #000000 is black.

What is the contrast ratio in colour accessibility?

How do I convert hex to RGB?

Split the six-digit hex into three pairs and convert each pair to decimal. For example, #1E90FF → R=0x1E=30, G=0x90=144, B=0xFF=255, i.e. rgb(30, 144, 255).

Is my data uploaded when I view a file as hex?

No. The hex dump viewer reads your file locally in the browser using the File API; the bytes are never uploaded to any server, so even sensitive files stay completely private.

Can I convert multiple values at once?

Yes. The bulk converter accepts a list of values (one per line or pasted text) and converts them all between your chosen bases, with results you can copy or download.

What is the difference between NAND and AND?

NAND is simply the inverse of AND: it returns 0 only when both inputs are 1, and 1 otherwise. NAND (and NOR) are “universal” gates because any logic circuit can be built from them alone.

How do I represent a negative number in hex?

Negative numbers are usually stored using two’s complement within a fixed bit width. For example, −1 in 8-bit is 0xFF, and −2 is 0xFE. This tool shows the two’s-complement hex for any width.

What does 0xDEADBEEF mean?

How accurate are the conversions?

They are exact. Base conversions and integer arithmetic use BigInt, so there is no floating-point rounding — results are mathematically precise regardless of size.

Can I use this offline?

Yes. Once the page loads, every conversion, calculation, colour operation and hex dump runs locally in your browser with no network calls.

How do I convert hex to UTF-8 text?

Group the hex into byte pairs and decode the byte sequence as UTF-8. This tool does it automatically and also supports ASCII and UTF-16 decoding for the same input.

What is the alpha channel in #RRGGBBAA?

Why does hex use letters A–F?

Because base 16 needs sixteen distinct symbols but the decimal system only provides ten (0–9). The letters A–F were adopted to represent the values 10–15 in a single character.

How do I do hex arithmetic by hand?

What is a bitmask?

Is this calculator free?

Yes — completely free, with no sign-up, no watermark and no limits. Every feature runs in your browser.

Which professionals use a hex calculator?

Can I share a conversion with a link?

Yes. The share button copies a URL that encodes your current value and bases, so opening it restores the exact conversion for a colleague or your own reference.

Built for developers

Created and maintained by the Omnitool engineering team and used across millions of developer calculations every month.

Methodology

All base conversions and integer arithmetic use arbitrary-precision BigInt, so results are mathematically exact at any size — no floating-point error.

Version 1.0 · Updated June 2026

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Hex Calculator & Base Converter

Key Takeaways

People Also Ask

What is FF in decimal?

How do you convert hex to decimal?

What does 0x mean?

How many bits is one hex digit?

What is a hex color code?

What Is Hexadecimal?

The Hexadecimal Number System

Why Computers Use Hexadecimal

Hex vs Binary

Hex vs Decimal

Hexadecimal in Programming

Hexadecimal in Networking

Hexadecimal in Cybersecurity

Hexadecimal in Memory Addressing

Hex Color Codes

Hexadecimal Arithmetic

Bitwise Operations

ASCII and Hexadecimal

Unicode and Hexadecimal

Hex Dumps Explained

Base Conversions

Developer Use Cases

Computer Architecture & Hex

Embedded Systems Applications

Common Hex Examples

Best Practices

Related Tools

Frequently Asked Questions

Built for developers

Methodology

Version 1.0 · Updated June 2026

Go ad-free & unlock more

Hex Calculator & Base Converter

Key Takeaways

People Also Ask

What is FF in decimal?

How do you convert hex to decimal?

What does 0x mean?

How many bits is one hex digit?

What is a hex color code?

What Is Hexadecimal?

The Hexadecimal Number System

Why Computers Use Hexadecimal

Hex vs Binary

Hex vs Decimal

Hexadecimal in Programming

Hexadecimal in Networking

Hexadecimal in Cybersecurity

Hexadecimal in Memory Addressing

Hex Color Codes

Hexadecimal Arithmetic

Bitwise Operations

ASCII and Hexadecimal

Unicode and Hexadecimal

Hex Dumps Explained

Base Conversions

Developer Use Cases

Computer Architecture & Hex

Embedded Systems Applications

Common Hex Examples

Best Practices

Related Tools

Frequently Asked Questions

Built for developers

Methodology

Version 1.0 · Updated June 2026

Go ad-free & unlock more