128 in Octal

Decimal 128 in octal conversion provides the detailed information on what is the octal equivalent of (128)10, and the step-by-step work for how to convert the decimal (base-10) number 128 to its octal (base-8) equivalent.

(128)10 in octal is equal to:
(128)10 = (?)8

Perform successive MOD-8 operation for decimal 128, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 128	128 / 8 = 16	Remainder is 0 → LSB
MOD-8 of 16	16 / 8 = 2	Remainder is 0
MOD-8 of 2	2 / 8 = 0	Remainder is 2 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 128.
128₁₀ = 200₈

Hence,
128 in octal is 200

where,
128₁₀ is the given decimal number,
10 in 128₁₀ represents the base-10 or decimal number system,
200₈ is the octal equivalent of the decimal 128,
8 in 200₈ represents the base-8 or octal number system.

Important Notes: (128)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 128 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 128 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 128 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 128 should be written from MSB to LSB to form the octal equivalent for the given decimal number (128)10.