How to Calculate Binary Converter
What is Binary Converter?
A binary converter converts numbers between binary (base-2), decimal (base-10), hexadecimal (base-16), and octal (base-8). These number systems are fundamental in computing — computers store all data in binary (0s and 1s).
Step-by-Step Guide
- 1Binary to decimal: sum each bit × 2^position (from right, starting at 0)
- 2Decimal to binary: repeatedly divide by 2 and record remainders
- 3Hex uses digits 0–9 and letters A–F (A=10, B=11, ..., F=15)
- 41 hex digit = 4 binary bits; 2 hex digits = 1 byte (8 bits)
Worked Examples
Input
Binary 1010
Result
Decimal 10, Hex A, Octal 12
8+0+2+0 = 10
Input
Decimal 255
Result
Binary 11111111, Hex FF
8 bits all 1s = max byte value
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