820 in Octal

Decimal 820 in octal conversion provides the detailed information on what is the octal equivalent of (820)10, and the step-by-step work for how to convert the decimal (base-10) number 820 to its octal (base-8) equivalent.

(820)10 in octal is equal to:
(820)10 = (?)8

Perform successive MOD-8 operation for decimal 820, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 820	820 / 8 = 102	Remainder is 4 → LSB
MOD-8 of 102	102 / 8 = 12	Remainder is 6
MOD-8 of 12	12 / 8 = 1	Remainder is 4
MOD-8 of 1	1 / 8 = 0	Remainder is 1 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 820.
820₁₀ = 1464₈

Hence,
820 in octal is 1464

where,
820₁₀ is the given decimal number,
10 in 820₁₀ represents the base-10 or decimal number system,
1464₈ is the octal equivalent of the decimal 820,
8 in 1464₈ represents the base-8 or octal number system.

Important Notes: (820)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 820 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 820 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 820 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 820 should be written from MSB to LSB to form the octal equivalent for the given decimal number (820)10.