448 in Octal

Decimal 448 in octal conversion provides the detailed information on what is the octal equivalent of (448)10, and the step-by-step work for how to convert the decimal (base-10) number 448 to its octal (base-8) equivalent.

(448)10 in octal is equal to:
(448)10 = (?)8

Perform successive MOD-8 operation for decimal 448, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 448	448 / 8 = 56	Remainder is 0 → LSB
MOD-8 of 56	56 / 8 = 7	Remainder is 0
MOD-8 of 7	7 / 8 = 0	Remainder is 7 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 448.
448₁₀ = 700₈

Hence,
448 in octal is 700

where,
448₁₀ is the given decimal number,
10 in 448₁₀ represents the base-10 or decimal number system,
700₈ is the octal equivalent of the decimal 448,
8 in 700₈ represents the base-8 or octal number system.

Important Notes: (448)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 448 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 448 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 448 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 448 should be written from MSB to LSB to form the octal equivalent for the given decimal number (448)10.