153 in Octal

Decimal 153 in octal conversion provides the detailed information on what is the octal equivalent of (153)10, and the step-by-step work for how to convert the decimal (base-10) number 153 to its octal (base-8) equivalent.

(153)10 in octal is equal to:
(153)10 = (?)8

Perform successive MOD-8 operation for decimal 153, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 153	153 / 8 = 19	Remainder is 1 → LSB
MOD-8 of 19	19 / 8 = 2	Remainder is 3
MOD-8 of 2	2 / 8 = 0	Remainder is 2 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 153.
153₁₀ = 231₈

Hence,
153 in octal is 231

where,
153₁₀ is the given decimal number,
10 in 153₁₀ represents the base-10 or decimal number system,
231₈ is the octal equivalent of the decimal 153,
8 in 231₈ represents the base-8 or octal number system.

Important Notes: (153)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 153 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 153 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 153 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 153 should be written from MSB to LSB to form the octal equivalent for the given decimal number (153)10.