Hex Converter
Fast, accurate, and 100% client-side base-16 conversions. Translate between hexadecimal, decimal, binary, octal, and UTF-8 text with arbitrary-precision BigInt arithmetic.
Auto-detects format. Or manually select base.
Need to see full mathematical positional expansion, division remainders, or 2's complement?
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Click individual bits to toggle states. Watch hex, binary, and decimal update in real time.
How Hexadecimal Works in 4 Principles
Hex uses sixteen distinct symbols: digits 0–9 for values zero to nine, and letters A–F for values ten to fifteen.
Each column represents an increasing power of 16 (16⁰ = 1, 16¹ = 16, 16² = 256, 16³ = 4,096), evaluated from right to left.
Every single hex digit maps exactly to 4 binary bits (2⁴ = 16). Two hex digits constitute an entire 8-bit computer byte.
Hex compresses long binary sequences into human-readable strings, making memory dumps, network packets, and colors easier to parse.
Dedicated Base Conversion & Calculation Tools
Each dedicated tool provides deep mathematical working, customizable bit widths, and step-by-step algorithms.
Hex to Decimal Converter
Convert base-16 hex values to decimal with full positional expansion steps and two's complement.
Decimal to Hex Converter
Convert integers to hexadecimal with repeated division remainder tables and bit-width zero padding.
Hex to Binary Converter
Translate hex characters directly into 4-bit binary nibbles with customizable grouping.
Binary to Hex Converter
Group binary bits in sets of 4 from right to left with visual padding indicators.
Text to Hex Converter
Encode plain text and Unicode into UTF-8, UTF-16, and Latin-1 byte tables.
Hex to Text Converter
Decode hex byte sequences to readable strings with strict invalid byte checking.
Hex Calculator & Bitwise
Perform +, -, *, /, AND, OR, XOR, NOT, and shifts with bit-width overflow protection.
0–255 Conversion Chart
Complete 256-row reference lookup table covering decimal, hex, binary, octal, and ASCII.
Standard ASCII Table
Complete 7-bit character codes (0–127) with control character descriptions and encodings.
Base-16 Digits and Equivalents Table
The sixteen fundamental hexadecimal symbols and their corresponding decimal and 4-bit binary values.
| Hex Symbol | Decimal Value | Binary (4-Bit Nibble) | Octal (Base 8) |
|---|---|---|---|
| 0 | 0 | 0000 | 0 |
| 1 | 1 | 0001 | 1 |
| 2 | 2 | 0010 | 2 |
| 3 | 3 | 0011 | 3 |
| 4 | 4 | 0100 | 4 |
| 5 | 5 | 0101 | 5 |
| 6 | 6 | 0110 | 6 |
| 7 | 7 | 0111 | 7 |
| 8 | 8 | 1000 | 10 |
| 9 | 9 | 1001 | 11 |
| A | 10 | 1010 | 12 |
| B | 11 | 1011 | 13 |
| C | 12 | 1100 | 14 |
| D | 13 | 1101 | 15 |
| E | 14 | 1110 | 16 |
| F | 15 | 1111 | 17 |
Where Hexadecimal Is Used in Computing
Base-16 is ubiquitous throughout computer science, networking, design, and systems engineering.
Hex color notation specifies red, green, and blue intensities with two digits each. For example, #FF5733 encodes red = 255 (FF), green = 87 (57), and blue = 51 (33).
Operating systems and debuggers print memory locations in hex (e.g. 0x7FFF5FBFF8C0) because 64-bit addresses are 16 hex characters instead of 64 unwieldy binary bits.
Network hardware MAC addresses are formatted as six hex octets (00:1A:2B:3C:4D:5E). IPv6 addresses compress 128-bit addresses into 8 groups of four hex digits.
Special characters in web URLs are escaped as a percent sign followed by two hex digits representing their ASCII code point. A space becomes %20 (decimal 32).
Hash functions like SHA-256 and MD5 generate binary digests represented as 64 or 32 hexadecimal characters, enabling simple human comparison of file integrity and signatures.
Hex editors display raw binary files in dual columns: 16 hex bytes on the left side and their printable ASCII character representation on the right side.
Five Common Mistakes When Converting Hexadecimal
In base 16, the digits roll over at sixteen, not ten. Therefore, 0x10 is (1 × 16) + (0 × 1) = 16 in decimal. Always write the 0x prefix to prevent ambiguity.
The letter "O" is not a valid hex digit (only A through F are used). If an optical character reader or handwriting mistakes a zero for an O, the conversion will fail.
In text and raw byte processing, every byte requires exactly two hex digits. If you provide an odd number of digits (e.g. "1F4"), software may reject it unless a leading zero is added ("01F4").
In an unsigned 8-bit byte, 0xFF is 255. However, in signed two's complement integer arithmetic (standard in Java, C, and Rust), 0xFF represents -1. Always specify whether your context is signed or unsigned.
A 32-bit integer like 0x12345678 is stored in memory as 78 56 34 12 on Little-Endian architectures (x86 and ARM), but as 12 34 56 78 on Big-Endian systems.
Frequently Asked Questions
Direct answers to technical and practical questions regarding this tool and base-16 conversion.
What is a hexadecimal converter?
A hexadecimal converter is a computational tool that translates numbers and text between base-16 (hexadecimal) and other representations, such as base-10 (decimal), base-2 (binary), base-8 (octal), and character encodings like ASCII and UTF-8. It enables software engineers and students to inspect raw memory, color codes, and network payloads quickly without manual multi-step arithmetic.
Why do computers and programmers use hexadecimal instead of decimal or binary?
Computers operate natively in binary (1s and 0s), but long strings of binary are difficult for humans to read and transcribe without errors. Because 16 is an exact power of two (2⁴ = 16), every hexadecimal digit corresponds to exactly four binary bits (one nibble). Two hex digits represent exactly one byte (8 bits). This provides a compact, human-readable shorthand for binary computer memory.
What does the "0x" prefix in hexadecimal numbers mean?
The prefix "0x" (or "0X") is a programming convention popularized by the C language to inform compilers and humans that the following literal is written in base 16 rather than base 10. For instance, "10" in decimal equals ten, but "0x10" represents sixteen. Other common prefixes include "#" in CSS web colors and "\x" in byte string escape sequences.
What is a "nibble" in computer architecture?
A nibble (sometimes spelled nybble) is an aggregation of exactly four binary bits, or half of a standard 8-bit byte. Since four bits can represent 2⁴ = 16 distinct combinations (0000 through 1111), every single hexadecimal digit (0 through F) corresponds to exactly one nibble. A full byte consists of a high-order nibble and a low-order nibble.
Is hexadecimal case-sensitive? Is 0x1F different from 0x1f?
No, standard hexadecimal notation is strictly case-insensitive. The letters A through F represent numeric values 10 through 15 regardless of capitalization. Both "1F" and "1f" evaluate to decimal 31. Uppercase is frequently preferred in hardware documentation and checksums for readability, while lowercase is common in web URLs and hash digests.
Does this converter upload or store any data I enter?
No. HexConverter.org is built on a 100% client-side architecture. Every calculation, string decoding, and bitwise operation executes directly within your browser JavaScript engine using Web APIs and native BigInt precision. Zero input values, tokens, or strings are transmitted over the network or saved on our servers.
How does hexadecimal handle negative numbers?
Negative integers in hexadecimal are typically represented using two's complement binary notation within a fixed bit width (such as 8, 16, 32, or 64 bits). In an 8-bit signed integer, the hex value 0xFF represents -1, and 0x80 represents -128. Without a designated word size, a preceding minus sign (e.g. -0x1F = -31) is used for arbitrary-precision arithmetic.
What is the largest value a 2-digit hex number can store?
Two hexadecimal digits can express values from 0x00 (decimal 0) to 0xFF (decimal 255), which equals exactly 2⁸ = 256 unique states. This corresponds to the standard capacity of a single 8-bit byte, which is why color channels (RGB) range from 0 to 255 and are written with two hex digits per channel (e.g., #FFFFFF).
Sources & Technical References
- [1]IETF RFC 3629: UTF-8 Transformation Format — Internet Engineering Task Force (IETF)
Standard specification for character encoding and byte-sequence mapping.
- [2]W3C CSS Color Module Level 4: Hex Notation — World Wide Web Consortium (W3C)
Standard for RGB 6-digit and 8-digit hexadecimal color notation.
- [3]MDN Web Docs: BigInt Precision Specification — Mozilla Developer Network
Reference documentation on arbitrary precision integer arithmetic in JavaScript.
Technical Verification & Editorial Accountability
Written by Sarah Chen (Embedded Systems Engineer) • Verified by Marcus Brody, PE