340 in Octal

Decimal 340 in octal conversion provides the detailed information on what is the octal equivalent of (340)10, and the step-by-step work for how to convert the decimal (base-10) number 340 to its octal (base-8) equivalent.

(340)10 in octal is equal to:
(340)10 = (?)8

Perform successive MOD-8 operation for decimal 340, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 340	340 / 8 = 42	Remainder is 4 → LSB
MOD-8 of 42	42 / 8 = 5	Remainder is 2
MOD-8 of 5	5 / 8 = 0	Remainder is 5 → MSB

Arrange the remainders from MSB to LSB forms the octal equivalent of 340.
340₁₀ = 524₈

Hence,
340 in octal is 524

where,
340₁₀ is the given decimal number,
10 in 340₁₀ represents the base-10 or decimal number system,
524₈ is the octal equivalent of the decimal 340,
8 in 524₈ represents the base-8 or octal number system.

Important Notes: (340)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 340 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 340 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 340 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 340 should be written from MSB to LSB to form the octal equivalent for the given decimal number (340)10.