Hex Calculator
Convert between hexadecimal and other number bases. Perform hex arithmetic operations.
A hexadecimal calculator converts between hex, decimal, binary, and octal number systems and performs arithmetic in hexadecimal.
Examples
Hex to Decimal
Hex addition
Hex to Binary
Frequently Asked Questions
What is hexadecimal?
Where is hex used?
How do I convert hex to decimal?
Quick Tips
- •Double-check your inputs — small errors lead to incorrect results.
- •Remember that each hex digit represents exactly 4 binary bits.
- •Use uppercase or lowercase letters for hex digits A through F.
A hexadecimal calculator converts between hex, decimal, binary, and octal number systems and performs arithmetic in hexadecimal.
How to Use This Calculator
Enter a hexadecimal value (0-9, A-F) and select an operation. For conversions, the calculator shows the equivalent in decimal, binary, and octal. For arithmetic, enter a second hex value.
Understanding the Formula
Hex digits: 0-9 (value 0-9), A-F (value 10-15). Each hex digit = 4 binary bits. Conversion: multiply each digit by 16^position.
Examples
Hex to Decimal
FF = 15×16 + 15 = 255
Hex addition
FF + 01 = 100 (255 + 1 = 256)
Hex to Binary
A3 = 1010 0011 = 10100011₂
Frequently Asked Questions
What is hexadecimal?
Hexadecimal (base 16) uses digits 0-9 and letters A-F. It is widely used in computing because each hex digit maps to exactly 4 binary bits.
Where is hex used?
Hex is commonly used for color codes (#FF0000 = red), memory addresses, MAC addresses, and representing binary data compactly.
How do I convert hex to decimal?
Multiply each digit by its positional power of 16 and sum. For example: 2F = 2×16 + 15 = 47.
Assumptions & Limitations
- Assumes valid hexadecimal input using digits 0-9 and letters A-F.
- Assumes non-negative integer input for base conversions.
- Division produces integer quotient and remainder only.