Decimal 46 in octal conversion provides the detailed information on what is the octal equivalent of (46)10, and the step-by-step work for how to convert the decimal (base-10) number 46 to its octal (base-8) equivalent.
(46)10 in octal is equal to:
(46)10 = (?)8
Perform successive MOD-8 operation for decimal 46, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
MOD-8 of 46 | 46 / 8 = 5 | Remainder is 6 → LSB |
MOD-8 of 5 | 5 / 8 = 0 | Remainder is 5 → MSB |
Arrange the remainders from MSB to LSB forms the octal equivalent of 46.
4610 = 568
Hence,
46 in octal is 56
where,
46
10 is the given decimal number,
10 in 46
10 represents the base-10 or decimal number system,
56
8 is the octal equivalent of the decimal 46,
8 in 56
8 represents the base-8 or octal number system.
Important Notes: (46)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 46 into a (base-8) octal equivalent.
- The first remainder of MOD-8 of 46 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 46 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 46 should be written from MSB to LSB to form the octal equivalent for the given decimal number (46)10.