4 in Octal

Decimal 4 in octal conversion provides the detailed information on what is the octal equivalent of (4)10, and the step-by-step work for how to convert the decimal (base-10) number 4 to its octal (base-8) equivalent.

(4)10 in octal is equal to:
(4)10 = (?)8

Perform successive MOD-8 operation for decimal 4, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 4

4 / 8 = 0

Remainder is 4 → LSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 4.
4₁₀ = 4₈

Hence,
4 in octal is 4

where,
4₁₀ is the given decimal number,
10 in 4₁₀ represents the base-10 or decimal number system,
4₈ is the octal equivalent of the decimal 4,
8 in 4₈ represents the base-8 or octal number system.

Important Notes: (4)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 4 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 4 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 4 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 4 should be written from MSB to LSB to form the octal equivalent for the given decimal number (4)10.