122 in Octal

Decimal 122 in octal conversion provides the detailed information on what is the octal equivalent of (122)10, and the step-by-step work for how to convert the decimal (base-10) number 122 to its octal (base-8) equivalent.

(122)10 in octal is equal to:
(122)10 = (?)8

Perform successive MOD-8 operation for decimal 122, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 122	122 / 8 = 15	Remainder is 2 → LSB
MOD-8 of 15	15 / 8 = 1	Remainder is 7
MOD-8 of 1	1 / 8 = 0	Remainder is 1 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 122.
122₁₀ = 172₈

Hence,
122 in octal is 172

where,
122₁₀ is the given decimal number,
10 in 122₁₀ represents the base-10 or decimal number system,
172₈ is the octal equivalent of the decimal 122,
8 in 172₈ represents the base-8 or octal number system.

Important Notes: (122)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 122 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 122 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 122 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 122 should be written from MSB to LSB to form the octal equivalent for the given decimal number (122)10.