829 in Octal

Decimal 829 in octal conversion provides the detailed information on what is the octal equivalent of (829)10, and the step-by-step work for how to convert the decimal (base-10) number 829 to its octal (base-8) equivalent.

(829)10 in octal is equal to:
(829)10 = (?)8

Perform successive MOD-8 operation for decimal 829, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 829	829 / 8 = 103	Remainder is 5 → LSB
MOD-8 of 103	103 / 8 = 12	Remainder is 7
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 829.
829₁₀ = 1475₈

Hence,
829 in octal is 1475

where,
829₁₀ is the given decimal number,
10 in 829₁₀ represents the base-10 or decimal number system,
1475₈ is the octal equivalent of the decimal 829,
8 in 1475₈ represents the base-8 or octal number system.

Important Notes: (829)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 829 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 829 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 829 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 829 should be written from MSB to LSB to form the octal equivalent for the given decimal number (829)10.