Decimal ↔ Hexadecimal Converter
The hexadecimal system (base 16) is essential in computer science. From CSS color codes (#FF5733) to memory addresses – our Hex Calculator converts decimal to hexadecimal and vice versa. Ideal for web developers, programmers, and computer science students.
Hex Digits: 0-9 and A-F
A=10, B=11, C=12, D=13, E=14, F=15
Decimal → Hex Conversion:
255 ÷ 16 = 15 remainder 15 → FF
200 ÷ 16 = 12 remainder 8 → C8
Hex → Decimal Conversion:
FF = 15×16¹ + 15×16⁰ = 240 + 15 = 255
1A3 = 1×256 + 10×16 + 3×1 = 419
Colors (CSS/HTML):
• #FFFFFF = White (255,255,255)
• #000000 = Black (0,0,0)
• #FF0000 = Red (255,0,0)
• #00FF00 = Green (0,255,0)
• #0000FF = Blue (0,0,255)
Memory/IT:
• 0xFF = 255 (Max byte value)
• 0xFFFF = 65535 (Max 16-bit)
• 0x7F = 127 (Max signed byte)
Hex is more compact than binary! A byte (8 bits) needs 8 digits in binary (10101010), but only 2 in hex (AA). Plus, hex converts easily to binary: each hex digit = 4 bits.
CSS color codes like #FF5733 consist of 3 hex pairs: Red (FF=255), Green (57=87), Blue (33=51). Each color channel has a value from 0-255 (00-FF). #RRGGBB format.
0xFF and FF mean the same thing. The "0x" prefix marks a hexadecimal number in programming languages (C, JavaScript, Python) to distinguish it from variable names.
Remember: 10=A, 16=10 (hex), FF=255. For two-digit hex: first digit ×16 + second digit. e.g. 2A = 2×16+10 = 42. With practice it becomes intuitive!
Pro Tip: 4 binary digits = 1 hex digit. To convert binary to hex, group from right in groups of 4: 1010 1110 = AE!
The hexadecimal system (Base 16) is often used for colors in web design (e.g., #FFFFFF for white).