Decimal 43 in octal conversion provides the detailed information on what is the octal equivalent of (43)10, and the step-by-step work for how to convert the decimal (base-10) number 43 to its octal (base-8) equivalent.
(43)10 in octal is equal to:
(43)10 = (?)8
Perform successive MOD-8 operation for decimal 43, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
MOD-8 of 43 | 43 / 8 = 5 | Remainder is 3 → LSB |
MOD-8 of 5 | 5 / 8 = 0 | Remainder is 5 → MSB |
Arrange the remainders from MSB to LSB forms the octal equivalent of 43.
4310 = 538
Hence,
43 in octal is 53
where,
43
10 is the given decimal number,
10 in 43
10 represents the base-10 or decimal number system,
53
8 is the octal equivalent of the decimal 43,
8 in 53
8 represents the base-8 or octal number system.
Important Notes: (43)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 43 into a (base-8) octal equivalent.
- The first remainder of MOD-8 of 43 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 43 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 43 should be written from MSB to LSB to form the octal equivalent for the given decimal number (43)10.