Binary Calculator (Decimal ⇄ Binary)

Convert a decimal integer to binary and back.

Binary 101010

Bit length 6

Formula: Repeated division by 2

Step-by-step with your numbers:

1. Values used:

2. Decimal number = 42

4. Binary = 101010

5. Bit length = 6

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Binary is the base-2 number system that computers use, with only the digits 0 and 1.

The math behind it

Convert by repeatedly dividing by 2 and reading the remainders from bottom to top. Each binary place is a power of 2.

42 in binary is 101010.

Why do computers use binary?

Because electronic switches have two stable states — on (1) and off (0).