837 in Octal

Decimal 837 in octal conversion provides the detailed information on what is the octal equivalent of (837)10, and the step-by-step work for how to convert the decimal (base-10) number 837 to its octal (base-8) equivalent.

(837)10 in octal is equal to:
(837)10 = (?)8

Perform successive MOD-8 operation for decimal 837, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 837	837 / 8 = 104	Remainder is 5 → 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 837.
837₁₀ = 1505₈

Hence,
837 in octal is 1505

where,
837₁₀ is the given decimal number,
10 in 837₁₀ represents the base-10 or decimal number system,
1505₈ is the octal equivalent of the decimal 837,
8 in 1505₈ represents the base-8 or octal number system.

Important Notes: (837)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 837 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 837 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 837 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 837 should be written from MSB to LSB to form the octal equivalent for the given decimal number (837)10.