145 in Octal

Decimal 145 in octal conversion provides the detailed information on what is the octal equivalent of (145)10, and the step-by-step work for how to convert the decimal (base-10) number 145 to its octal (base-8) equivalent.

(145)10 in octal is equal to:
(145)10 = (?)8

Perform successive MOD-8 operation for decimal 145, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 145	145 / 8 = 18	Remainder is 1 → LSB
MOD-8 of 18	18 / 8 = 2	Remainder is 2
MOD-8 of 2	2 / 8 = 0	Remainder is 2 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 145.
145₁₀ = 221₈

Hence,
145 in octal is 221

where,
145₁₀ is the given decimal number,
10 in 145₁₀ represents the base-10 or decimal number system,
221₈ is the octal equivalent of the decimal 145,
8 in 221₈ represents the base-8 or octal number system.

Important Notes: (145)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 145 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 145 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 145 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 145 should be written from MSB to LSB to form the octal equivalent for the given decimal number (145)10.