1021 in Octal

Decimal 1021 in Octal form conversion provides the detailed information on what is the Octal equivalent of (1021)10, and the step-by-step solution using the most easiest method for how to convert decimal (base-10) number 1021 to its Octal (base-8) equivalent.

(1021)10 in Octal is equal to:
(1021)10 = (?)8

Perform successive MOD-8 operation for decimal 1021, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 1021	1021 / 8 = 127	Remainder is 5 → LSB
MOD-8 of 127	127 / 8 = 15	Remainder is 7
MOD-8 of 15	15 / 8 = 1	Remainder is 7
MOD-8 of 1	1 / 8 = 0	Remainder is 1 → MSB

Arrange the remainders from MSB to LSB forms the Octal equivalent of 1021.
1021₁₀ = 1775₈

Hence,
1021 in Octal is 1775

where,
1021₁₀ is the given decimal number,
10 in 1021₁₀ represents the base-10 or decimal number system,
1775₈ is the Octal equivalent of the decimal 1021,
8 in 1775₈ represents the base-8 or Octal number system.

Important Notes: (1021)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 1021 into a (base-8) Octal equivalent.

1. The first remainder of MOD-8 of 1021 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 1021 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 1021 should be written from MSB to LSB to form the Octal equivalent for the given decimal number (1021)10.