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Decimal to Binary Converter

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Convert a decimal integer to its binary representation. The number is divided by 2 repeatedly and the remainders, read bottom-up, form the bits — so 10 becomes 1010 and 255 becomes 11111111. Useful when designing bitmasks, configuring hardware registers, studying digital logic gates or just learning how computers store integers. Negative values keep a leading minus sign; for two’s-complement representation choose a fixed bit width and add the sign bit yourself.

From (Decimal (10))

Decimal (10)

Allowed: 0–9

To (Binary (2))

Binary (2)

Allowed: 0 and 1

Decimal (10) → Binary (2)

Quick reference table

Decimal (10)	Binary (2)
1	1
2	10
5	101
10	1010
16	10000
32	100000
64	1000000
100	1100100
128	10000000
255	11111111
256	100000000
1024	10000000000

Glossary

Decimal (base 10)

The decimal numeral system is the everyday number system used by humans, with digits 0 through 9. Each digit position represents a power of 10 — units, tens, hundreds, thousands. It is sometimes called base-10 or denary. All four bases on this page convert through decimal as a canonical integer value, so a round-trip such as binary → decimal → hex always produces the exact same number.

Binary (base 2)

The binary numeral system uses only two digits — 0 and 1 — and is the native number system of every digital computer. Each binary digit (bit) represents a power of 2: the rightmost bit is 2^0 = 1, then 2^1 = 2, 2^2 = 4, 2^3 = 8 and so on. Eight bits form one byte. Binary underlies every memory cell, register and network packet.

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