836 in Octal

Decimal 836 in octal conversion provides the detailed information on what is the octal equivalent of (836)10, and the step-by-step work for how to convert the decimal (base-10) number 836 to its octal (base-8) equivalent.

(836)10 in octal is equal to:
(836)10 = (?)8

Perform successive MOD-8 operation for decimal 836, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 836	836 / 8 = 104	Remainder is 4 → LSB
MOD-8 of 104	104 / 8 = 13	Remainder is 0
MOD-8 of 13	13 / 8 = 1	Remainder is 5
MOD-8 of 1	1 / 8 = 0	Remainder is 1 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 836.
836₁₀ = 1504₈

Hence,
836 in octal is 1504

where,
836₁₀ is the given decimal number,
10 in 836₁₀ represents the base-10 or decimal number system,
1504₈ is the octal equivalent of the decimal 836,
8 in 1504₈ represents the base-8 or octal number system.

Important Notes: (836)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 836 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 836 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 836 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 836 should be written from MSB to LSB to form the octal equivalent for the given decimal number (836)10.