Convert Binary to Hex
Enter your binary numbers below—one per line—and get instant hexadecimal conversions. Whether you're working with bit manipulation, debugging assembly code, or analyzing embedded systems output, this tool makes binary-to-hex conversion quick and accurate using nibble grouping.
How to convert Binary to Hexadecimal - a step by step tutorial
Essential for embedded systems and assembly programming. Learn nibble grouping, padding techniques, and shortcuts for converting raw binary to compact hex notation.
Conversion Guide
Binary to hex conversion uses the nibble method—group binary digits into sets of 4 bits, then convert each group to its hex equivalent (0-F).
Group into Nibbles
Starting from the right, group binary digits into sets of 4 bits. Pad the leftmost group with zeros if needed.
11011101 → 1101 1101
Convert Each Nibble
Convert each 4-bit group to its hex digit: 0000=0 through 1111=F. Use binary-to-hex lookup table.
1101 = D, 1101 = D → DD
Combine Hex Digits
Write the hex digits in order from left to right. The result is your hexadecimal value.
11011101₂ = DD₁₆
Add 0x Prefix
For programming contexts, add "0x" prefix to indicate hexadecimal notation.
DD → 0xDD (standard format)
Binary Nibble to Hex Conversion Table
Each 4-bit binary nibble maps directly to one hexadecimal digit. Master this table for instant conversions in low-level programming.
Binary (4-bit) | Hex | Decimal |
---|---|---|
0000 | 0 | 0 |
0001 | 1 | 1 |
0010 | 2 | 2 |
0011 | 3 | 3 |
0100 | 4 | 4 |
0101 | 5 | 5 |
0110 | 6 | 6 |
0111 | 7 | 7 |
Binary (4-bit) | Hex | Decimal |
---|---|---|
1000 | 8 | 8 |
1001 | 9 | 9 |
1010 | A | 10 |
1011 | B | 11 |
1100 | C | 12 |
1101 | D | 13 |
1110 | E | 14 |
1111 | F | 15 |
Binary to Hex in Low-Level Programming
Embedded systems, game development, and hardware programming rely heavily on binary-to-hex conversion for register manipulation, bit masking, and memory-mapped I/O.
CBit Manipulation & Masking
Binary literals (0b prefix) are common in embedded C for clarity. Hex provides compact representation for debugging output.
ARMAssembly Register Values
ARM assembly programmers convert binary flags to hex for compact documentation and register dump analysis.
AVRArduino/Embedded Systems
Arduino developers use binary for pin configuration clarity, but hex for serial output and datasheet cross-referencing.
Why Convert Binary to Hex in Systems Programming
Game Hacking & Cheat Codes
Binary values in memory editors (Cheat Engine) are displayed as hex. Converting 11111111 (max value) to 0xFF helps set health, ammo, or currency. Game mod developers work with hex offsets and binary instruction patterns.
Memory Dump Analysis
Debuggers show memory in hex, but bit-level analysis requires binary. Converting binary patterns to hex identifies struct padding, alignment issues, and endianness problems in C/C++ programs.
Hardware Registers & GPIO
Microcontroller datasheets show register bits in binary (bit 7: interrupt enable), but code uses hex (write 0x80 to enable). ESP32, STM32, and Raspberry Pi Pico GPIO configuration relies on binary-to-hex conversion.
Network Protocol Design
Custom protocol headers use bit flags (3 bits for message type, 5 bits for priority). Developers design in binary but implement in hex. Wireshark displays packets in hex; understanding binary context is crucial.
Instruction Encoding
Assembly instructions are binary at the lowest level. x86 opcode 10110000 = 0xB0 (MOV AL, immediate). Compiler writers and JIT developers convert between binary instruction formats and hex machine code.
Graphics & Color Manipulation
Pixel shaders work with binary color channels at bit level (alpha blending, bit shifting). Results convert to hex for CSS/debugging: 11111111 00000000 00000000 = 0xFF0000 (pure red RGB).
Common Binary Patterns & Their Hex Values
Recognize these frequently-used binary patterns instantly for faster embedded development and bit manipulation.
Power of 2 Masks
All Bits Set/Clear
Binary to Hex: Developer FAQs
Why group binary into nibbles (4 bits)?
Each hex digit represents exactly 4 binary bits, making conversion straightforward. This 1:4 mapping is why hex is preferred over decimal for binary representation—there's no messy division or remainders, just direct nibble-to-hex lookup.
What if binary length isn't divisible by 4?
Pad the leftmost group with leading zeros. Example: 10111 becomes 0001 0111 = 0x17. In C, this happens automatically since data types are byte-aligned (8, 16, 32, 64 bits—all divisible by 4).
How to set specific bits using hex instead of binary?
Convert the bit positions to hex. To set bits 3 and 7: binary 10001000 = 0x88. Use bitwise OR: value |= 0x88
. Hex is more compact than binary literals in production code.
Why use 0x prefix for hex values?
The "0x" prefix (C-style) or "0h" suffix (Assembly) distinguishes hex from decimal. Without it, "10" is ambiguous (decimal 10 or hex 0x10 = 16?). Always use 0x in code: uint8_t mask = 0xFF;
What's the fastest way to memorize the nibble table?
Learn in groups: 0-7 are same in hex/decimal. Then memorize 1010=A, 1011=B, 1100=C, 1101=D, 1110=E, 1111=F. Practice converting register dumps daily—after a week, it becomes automatic.
How does endianness affect binary-to-hex conversion?
Endianness doesn't change nibble conversion itself, but affects byte order. Binary 00000001 00000010 is 0x0102 (big-endian) or 0x0201 (little-endian) in memory. Convert nibbles first, then consider byte ordering for multi-byte values.
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