Hexadecimal Calculator
Perform hexadecimal operations and convert between number systems
Reference Information
Hex Digits Reference
How to Use This Hex Calculator
- For operations: Enter two hexadecimal numbers and select an operation (+, -, x, /)
- For conversion: Enter any number and select its base (hex, decimal, binary, octal)
- Click the operation button or Convert to see results in all number systems
- Use the reference table below for hex digit values (0-9, A-F)
Example: Converting color #3498DB to RGB: 34 hex = 52 decimal (Red), 98 hex = 152 decimal (Green), DB hex = 219 decimal (Blue). This creates a pleasant blue color often used in web design.
Tip: In CSS, #RGB is shorthand for #RRGGBB. So #F00 equals #FF0000 (pure red) and #09F equals #0099FF (sky blue).
Why Use a Hex Calculator?
Hexadecimal is the bridge between human readability and binary computing. Each hex digit represents exactly 4 binary bits, making it essential for programming, web design, and digital systems.
- Web colors: Convert between #RRGGBB hex codes and RGB decimal values
- Memory addresses: Read and debug 0x7FFF8000 style pointers in programming
- MAC addresses: Work with network hardware IDs like AA:BB:CC:DD:EE:FF
- Unicode characters: Decode U+1F600 to find it's the grinning emoji
- Assembly language: Understand machine code like MOV AX, 0x1234
- File signatures: Recognize file types from magic bytes (PDF starts with 0x255044462D)
Understanding Your Results
Results show your calculation in hexadecimal, decimal, binary, and octal formats simultaneously.
| Result | Meaning | Action |
|---|---|---|
| Single hex digit (0-F) | 0-15 decimal | Values fit in 4 bits; memorize these for quick mental conversion |
| Two hex digits (00-FF) | 0-255 decimal | One byte range; used for RGB color components and byte values |
| Four hex digits (0000-FFFF) | 0-65,535 decimal | 16-bit range; common for Unicode BMP characters and port numbers |
| Eight hex digits | 0-4.29 billion decimal | 32-bit range; used for IPv4 addresses and standard integers |
Meaning: 0-15 decimal
Action: Values fit in 4 bits; memorize these for quick mental conversion
Meaning: 0-255 decimal
Action: One byte range; used for RGB color components and byte values
Meaning: 0-65,535 decimal
Action: 16-bit range; common for Unicode BMP characters and port numbers
Meaning: 0-4.29 billion decimal
Action: 32-bit range; used for IPv4 addresses and standard integers
Note: Prefix conventions: 0x (programming), # (web colors), $ (assembly), h suffix (documentation).
About Hex Calculator
Formula
Hex to Decimal: digit_n x 16^n + digit_(n-1) x 16^(n-1) + ... Each position represents a power of 16. For 2AF: (2 x 256) + (10 x 16) + (15 x 1) = 512 + 160 + 15 = 687 decimal.
Current Standards: Web colors follow the sRGB standard. Memory addresses use 64-bit (16 hex digits) on modern systems. IPv6 addresses use eight 4-digit hex groups.
Frequently Asked Questions
Why do web colors use hexadecimal?
Each color component (Red, Green, Blue) ranges from 0-255, which is exactly 00-FF in hex. This gives 16.7 million colors (256^3) in just 6 characters. #000000 is black (all off), #FFFFFF is white (all on), and #FF0000 is pure red. Hex is more compact than 'rgb(255, 128, 64)' notation.
How do I convert hex to binary quickly?
Replace each hex digit with its 4-bit binary equivalent. Learn the table: 0=0000, 1=0001, ... 9=1001, A=1010, B=1011, C=1100, D=1101, E=1110, F=1111. So 0x3F becomes 0011 1111 (two groups of 4 bits).
What do the 0x and # prefixes mean?
They're notation conventions that signal 'this is hexadecimal.' 0x is used in programming languages (C, Python, JavaScript), # is used for web colors, $ is common in assembly language, and some documentation uses an 'h' suffix (like 3Fh). The actual value is the same regardless of prefix.
Why is hexadecimal preferred over decimal in programming?
Hex aligns perfectly with computer architecture. A byte is always 2 hex digits, a 32-bit word is 8 hex digits. Bit patterns are visible: 0x80 shows the high bit is set (binary 10000000), while decimal 128 hides this structure. Debuggers and memory dumps use hex because it maps directly to binary.
How do I do hex arithmetic in my head?
For addition, work right to left like decimal but carry at 16. F + 1 = 10 (hex), F + F = 1E. For 9 + 8 = 11 (hex) because 17 decimal is 16 + 1. Subtraction: borrow 16 instead of 10. Practice with common values: 0x100 = 256, 0x1000 = 4096, 0x10000 = 65536.