425 in Octal

Decimal 425 in octal conversion provides the detailed information on what is the octal equivalent of (425)10, and the step-by-step work for how to convert the decimal (base-10) number 425 to its octal (base-8) equivalent.

(425)10 in octal is equal to:
(425)10 = (?)8

Perform successive MOD-8 operation for decimal 425, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 425	425 / 8 = 53	Remainder is 1 → LSB
MOD-8 of 53	53 / 8 = 6	Remainder is 5
MOD-8 of 6	6 / 8 = 0	Remainder is 6 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 425.
425₁₀ = 651₈

Hence,
425 in octal is 651

where,
425₁₀ is the given decimal number,
10 in 425₁₀ represents the base-10 or decimal number system,
651₈ is the octal equivalent of the decimal 425,
8 in 651₈ represents the base-8 or octal number system.

Important Notes: (425)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 425 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 425 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 425 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 425 should be written from MSB to LSB to form the octal equivalent for the given decimal number (425)10.