Decimal Arithmetic & Conversion
Binary :

Octal :

Hex :

45

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# Decimal 45 to Binary Conversion

What is 45 decimal in binary? - converter, chart & solved example problem with step by step workout for how to carry out decimal 45 to binary conversion manually. The base-10 value of 4510 is equal to base-2 value of 1011012.
In different representation
4510 = 1011012
45 = 0b101101

DecimalBinaryHex
43.5101011.12B.8
441011002C
44.5101100.12C.8
451011012D
45.5101101.12D.8
461011102E
46.5101110.12E.8
471011112F

## Work to Find What is 45 Decimal in Binary

The below is the example problem with step by step work to find what is 45 decimal in binary.
45 Decimal To Binary Conversion:
step 1 Perform the successive MOD operation by 2 for the given decimal number 45 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).
45 / 2 = 22   : Remainder is 1 → LSB
22 / 2 = 11   : Remainder is 0
11 / 2 = 5   : Remainder is 1
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
101101
4510 = 1011012