157 in Octal

Decimal 157 in octal conversion provides the detailed information on what is the octal equivalent of (157)10, and the step-by-step work for how to convert the decimal (base-10) number 157 to its octal (base-8) equivalent.

(157)10 in octal is equal to:
(157)10 = (?)8

Perform successive MOD-8 operation for decimal 157, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 157	157 / 8 = 19	Remainder is 5 → 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 157.
157₁₀ = 235₈

Hence,
157 in octal is 235

where,
157₁₀ is the given decimal number,
10 in 157₁₀ represents the base-10 or decimal number system,
235₈ is the octal equivalent of the decimal 157,
8 in 235₈ represents the base-8 or octal number system.

Important Notes: (157)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 157 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 157 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 157 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 157 should be written from MSB to LSB to form the octal equivalent for the given decimal number (157)10.