Hexadecimal to Decimal Converter
Use our free online Hex to Decimal Calculator to perform fast, accurate calculations with instant formulas, step-by-step arithmetic, and verified reference benchmarks.
Hex to Decimal Calculator
Instant Live Computation • Zero Waiting
Adjust inputs on the left for instantaneous live computation.
How to Calculate: The Hex to Decimal Calculator Formula
Hexadecimal uses base-16 symbols 0-9 and letters A-F (where A=10, B=11, C=12, D=13, E=14, F=15).
Step-by-Step Calculation Guide
- Input hexadecimal string (0-9, A-F).
- Multiply each digit by 16 raised to its positional index.
- Sum the products to obtain decimal value.
- Review equivalent binary and RGB color breakdowns.
Practical Hex to Decimal Calculator Examples
Convert 0x1A3 to decimal.
Convert hex color #FF8000 (Orange).
Hexadecimal to Decimal and Binary Translation Table
Official reference values and benchmark classifications based on standard institutional guidelines.
| Hex Digit | Decimal Value | 4-Bit Binary | Multiplication Factor |
|---|---|---|---|
| 0 – 9 | 0 – 9 | 0000 – 1001 | Value × 16^position |
| A | 10 | 1010 | 10 × 16^position |
| B | 11 | 1011 | 11 × 16^position |
| C | 12 | 1100 | 12 × 16^position |
| D | 13 | 1101 | 13 × 16^position |
| E | 14 | 1110 | 14 × 16^position |
| F | 15 | 1111 | 15 × 16^position |
Frequently Asked Questions about Hex to Decimal Calculator
Why is hexadecimal widely used in software engineering?
Hexadecimal is a human-friendly representation of binary. Exactly 2 hex characters correspond perfectly to 1 byte (8 bits), and 1 hex character represents 4 bits (a nibble).
What does the '0x' prefix mean in hex notation?
'0x' is the standard programming language prefix (in C, JavaScript, Python) indicating that the following characters are in hexadecimal base-16.
How do HTML/CSS hex color codes work?
Hex colors use 6 digits (#RRGGBB): two digits for Red (00-FF), two for Green, and two for Blue, allowing 16,777,216 distinct color combinations.
What is the maximum value of a 2-digit hex number?
FF in hexadecimal equals (15 × 16) + 15 = 255 in decimal.