75 in Octal

Decimal 75 in octal conversion provides the detailed information on what is the octal equivalent of (75)10, and the step-by-step work for how to convert the decimal (base-10) number 75 to its octal (base-8) equivalent.

(75)10 in octal is equal to:
(75)10 = (?)8

Perform successive MOD-8 operation for decimal 75, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 75	75 / 8 = 9	Remainder is 3 → 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 75.
75₁₀ = 113₈

Hence,
75 in octal is 113

where,
75₁₀ is the given decimal number,
10 in 75₁₀ represents the base-10 or decimal number system,
113₈ is the octal equivalent of the decimal 75,
8 in 113₈ represents the base-8 or octal number system.

Important Notes: (75)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 75 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 75 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 75 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 75 should be written from MSB to LSB to form the octal equivalent for the given decimal number (75)10.