Hexadecimal Converter
Convert hexadecimal to decimal, binary, and octal. Essential for color codes, memory addresses, and programming.
Result
- Decimal (Base 10)
- -
- Binary (Base 2)
- -
- Octal (Base 8)
- -
Conversion Guide
Conversion
Hex to Decimal
Sum of (digit × 16^position)
Multiply each digit by power of 16, sum results
Hex to Binary
Each hex digit = 4 bits
Convert each hex digit to 4-bit binary
Step-by-Step Scenario
Example Scenario
Hexadecimal
FF
Convert Digits
- F = 15
- F = 15
Convert hex digits to decimal
Calculate
- (15×16¹) + (15×16) = 240 + 15
Additional Examples
Color Code
Hex: #FF0000
RGB
RGB(255, 0, 0) - Red
Memory Address
Hex: 1A3F
Decimal
6719
Binary
0001101000111111
Characteristics of Hexadecimal
Compact Representation
Hexadecimal is more compact than binary. One hex digit represents 4 bits. FF = 11111111 in binary.
Widely Used
Used in color codes (#RRGGBB), memory addresses, MAC addresses, encryption hashes, and file formats.
Real-Time Conversion
Convert hexadecimal instantly as you type. All number systems are calculated simultaneously.
Easy to Read
Hexadecimal is easier to read than binary. FF is clearer than 11111111. Perfect for human-readable representations.
Important Notes
- Hexadecimal (base-16) uses digits 0-9 and letters A-F (representing 10-15). Each hex digit represents 4 bits.
- To convert hex to decimal: multiply each digit by its corresponding power of 16 (from right, starting at 16), then sum.
- To convert hex to binary: convert each hex digit to its 4-bit binary equivalent. F = 1111, A = 1010, etc.
- One hex digit = 4 bits. Two hex digits = 1 byte (8 bits). FF in hex = 255 in decimal = 11111111 in binary.
- Hexadecimal is case-insensitive. FF and ff are equivalent. The calculator automatically converts to uppercase.
Frequently Asked Questions
Find answers to common questions about hexadecimal conversion.