Decimal 50 in octal conversion provides the detailed information on what is the octal equivalent of (50)10, and the step-by-step work for how to convert the decimal (base-10) number 50 to its octal (base-8) equivalent.
(50)10 in octal is equal to:
(50)10 = (?)8
Perform successive MOD-8 operation for decimal 50, and mark the initial remainder as LSB and the final remainder as MSB as like the below.
MOD-8 of 50 | 50 / 8 = 6 | Remainder is 2 → LSB |
MOD-8 of 6 | 6 / 8 = 0 | Remainder is 6 → MSB |
Arrange the remainders from MSB to LSB forms the octal equivalent of 50.
5010 = 628
Hence,
50 in octal is 62
where,
50
10 is the given decimal number,
10 in 50
10 represents the base-10 or decimal number system,
62
8 is the octal equivalent of the decimal 50,
8 in 62
8 represents the base-8 or octal number system.
Important Notes: (50)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 50 into a (base-8) octal equivalent.
- The first remainder of MOD-8 of 50 is a Least Significant Bit (LSB).
- The final remainder of MOD-8 of 50 is a Most Significant Bit (MSB).
- The remainders of MOD-8 of 50 should be written from MSB to LSB to form the octal equivalent for the given decimal number (50)10.