Hex Calculator
Perform arithmetic and bitwise computations in base-16 with automatic decimal and binary conversions.
= 31 (decimal) = 11111 (binary)
= 10 (decimal) = 1010 (binary)
Result
0x29
= 41 (decimal) = 101001 (binary)
How to Use the Hex Calculator
- Enter valid hexadecimal characters (0-9, A-F) in Hex A.
- Choose an operation (+, -, ×, AND, OR, XOR).
- Enter your second hexadecimal operand in Hex B.
- View the output in Hex (0x...), Decimal, and Binary format.
Formulas & Principles
Hex addition and subtraction operate in base-16 with values 0-9 and A-F (10-15).
Conversion to decimal: multiply digit values by powers of 16.
Conversion to binary: map each hex digit to its corresponding 4-bit nibble.
Frequently Asked Questions
What is hexadecimal representation?
Hexadecimal is a base-16 numbering system that uses 16 symbols: 0-9 for values zero through nine, and A-F for values ten through fifteen.
Why do programmers use hexadecimal?
Hex simplifies binary code: exactly 4 binary bits (a nibble) represent 1 hexadecimal digit, making 8-bit bytes cleanly readable as two hex characters (e.g. 11111111 = 0xFF).
How do you convert Hex to Decimal?
Multiply each hex digit by 16 raised to its position power from the right (0, 1, 2...) and sum the results (e.g. 1F = 1×16¹ + 15×16⁰ = 31).
Why this calculator matters
This calculator helps solve mathematical problems faster and with fewer manual arithmetic mistakes. It is useful for studying, research verification, technical engineering checks, and everyday problem-solving.
When to use it
Use it when you need a fast answer, a cross-check for manual calculations, or a clear step-by-step verification of your result.
Quick tips
Double-check your inputs, keep units consistent across all fields, and verify boundary conditions.
Related Math Calculators
Explore more calculators related to this topic to solve other mathematical problems.