How to Calculate Hex Converter
What is Hex Converter?
A hexadecimal converter converts hex numbers to decimal, binary, and octal. Hex is ubiquitous in computing — used for memory addresses, colour codes, and encoding.
Formula
Hex to decimal: Σ (digit × 16^position); Decimal to hex: repeatedly divide by 16, collect remainders
- H
- Hexadecimal value — 0-9, A-F
- D
- Decimal value
- p
- Digit position (rightmost = 0)
Step-by-Step Guide
- 1Hex to decimal: each digit × 16ⁿ, sum all
- 2Hex to binary: each hex digit = 4 bits directly
- 3Digits: 0–9 then A=10, B=11, C=12, D=13, E=14, F=15
- 40xFF = 255 decimal = 11111111 binary
Worked Examples
Input
Hex: 2A
Result
Decimal: 42 (2×16+10); Binary: 00101010
Frequently Asked Questions
Why use hexadecimal?
Base 16 is compact: 1 hex digit = 4 bits. More readable than binary for memory addresses, colour codes.
What are common hex uses?
Web colours (#FF0000 = red), memory addresses, MAC addresses, Unicode escape sequences.
How do I convert hex F9 to decimal?
F=15, 9=9. (15×16¹) + (9×16⁰) = 240 + 9 = 249 decimal.