About Number Base Conversion

Number base conversion is fundamental in computing and digital systems. Different bases serve specific purposes:

Binary (base-2): Used by computers for internal representation
Octal (base-8): Often used in Unix permissions and digital displays
Decimal (base-10): Standard human-readable number system
Hexadecimal (base-16): Compact representation of binary data used in programming

Decimal 42 to other bases:

Decimal to other bases: Repeated division by the target base, collecting remainders

Other bases to decimal: Sum of each digit multiplied by base raised to its position power

FAQ

Leading zeros preserve the bit length, which is crucial in computer architecture where data is stored in fixed-size registers.

Multiply the fractional part by the target base repeatedly, collecting integer parts. This calculator handles integers only.

A method for representing negative integers in binary by complementing bits and adding 1. This calculator doesn't handle negative numbers.

Number Base Converter