Decimal Arithmetic & Conversion
Binary :

Octal :

Hex :

21

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# Decimal 21 to Octal Conversion

What is 21 decimal in octal? - converter, chart & solved example problem with step by step workout for how to carry out decimal 21 to octal conversion manually. The base-10 value of 2110 is equal to base-8 value of 258.
In different representation
2110 = 258
21 = 0o25

DecimalOctalBinary
19.523.410011.1
202410100
20.524.410100.1
212510101
21.525.410101.1
222610110
22.526.410110.1
232710111

## Work to Find What is 21 Decimal in Octal

The below is the example problem with step by step work to find what is 21 decimal in octal.
21 Decimal To Octal Conversion:
step 1 Perform the successive MOD 8 for the given decimal number 21 and note down the remainder for each operation. The last remainder is the MSB (most significant bit) and the first remainder is the LSB (least significant bit).
21 / 8 = 2   : Remainder is 5 → LSB
2 / 8 = 0   : Remainder is 2 → MSB

step 2 Write the remainders from MSB to LSB provide the equivalent octal number
25
2110 = 258 