77 in Octal

Decimal 77 in octal conversion provides the detailed information on what is the octal equivalent of (77)10, and the step-by-step work for how to convert the decimal (base-10) number 77 to its octal (base-8) equivalent.

(77)10 in octal is equal to:
(77)10 = (?)8

Perform successive MOD-8 operation for decimal 77, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 77	77 / 8 = 9	Remainder is 5 → LSB
MOD-8 of 9	9 / 8 = 1	Remainder is 1
MOD-8 of 1	1 / 8 = 0	Remainder is 1 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 77.
77₁₀ = 115₈

Hence,
77 in octal is 115

where,
77₁₀ is the given decimal number,
10 in 77₁₀ represents the base-10 or decimal number system,
115₈ is the octal equivalent of the decimal 77,
8 in 115₈ represents the base-8 or octal number system.

Important Notes: (77)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 77 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 77 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 77 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 77 should be written from MSB to LSB to form the octal equivalent for the given decimal number (77)10.