130 in Octal

Decimal 130 in octal conversion provides the detailed information on what is the octal equivalent of (130)10, and the step-by-step work for how to convert the decimal (base-10) number 130 to its octal (base-8) equivalent.

(130)10 in octal is equal to:
(130)10 = (?)8

Perform successive MOD-8 operation for decimal 130, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 130	130 / 8 = 16	Remainder is 2 → 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 130.
130₁₀ = 202₈

Hence,
130 in octal is 202

where,
130₁₀ is the given decimal number,
10 in 130₁₀ represents the base-10 or decimal number system,
202₈ is the octal equivalent of the decimal 130,
8 in 202₈ represents the base-8 or octal number system.

Important Notes: (130)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 130 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 130 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 130 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 130 should be written from MSB to LSB to form the octal equivalent for the given decimal number (130)10.