Decimal Arithmetic & Conversion
Binary :

Octal :

Hex :

10

share
feedback
calculator
info
history HISTORY

Decimal 10 to Binary Conversion

What is 10 decimal in binary? - converter, chart & solved example problem with step by step workout for how to carry out decimal 10 to binary conversion manually. The base-10 value of 1010 is equal to base-2 value of 10102.
In different representation
1010 = 10102
10 = 0b1010

DecimalBinaryHex
8.51000.18.8
910019
9.51001.19.8
101010A
10.51010.1A.8
111011B
11.51011.1B.8
121100C

Work to Find What is 10 Decimal in Binary

The below is the example problem with step by step work to find what is 10 decimal in binary.
10 Decimal To Binary Conversion:
step 1 Perform the successive MOD operation by 2 for the given decimal number 10 and note down the remainder (either 0 or 1) for each operation. The last remainder is the MSB (most significant bit) and the first remainder is the LSB (least significant bit).
10 / 2 = 5   : Remainder is 0 → LSB
5 / 2 = 2   : Remainder is 1
2 / 2 = 1   : Remainder is 0
1 / 2 = 0   : Remainder is 1 → MSB

step 2 Write the remainders from MSB to LSB provide the equivalent binary number
1010
1010 = 10102 