343 in Octal

Decimal 343 in octal conversion provides the detailed information on what is the octal equivalent of (343)10, and the step-by-step work for how to convert the decimal (base-10) number 343 to its octal (base-8) equivalent.

(343)10 in octal is equal to:
(343)10 = (?)8

Perform successive MOD-8 operation for decimal 343, and mark the initial remainder as LSB and the final remainder as MSB as like the below.

MOD-8 of 343	343 / 8 = 42	Remainder is 7 → 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 343.
343₁₀ = 527₈

Hence,
343 in octal is 527

where,
343₁₀ is the given decimal number,
10 in 343₁₀ represents the base-10 or decimal number system,
527₈ is the octal equivalent of the decimal 343,
8 in 527₈ represents the base-8 or octal number system.

Important Notes: (343)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 343 into a (base-8) octal equivalent.

1. The first remainder of MOD-8 of 343 is a Least Significant Bit (LSB).
2. The final remainder of MOD-8 of 343 is a Most Significant Bit (MSB).
3. The remainders of MOD-8 of 343 should be written from MSB to LSB to form the octal equivalent for the given decimal number (343)10.