Convert Decimal 52 to Octal
(52)10 = (?)8. Decimal 52 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (52)10 and the step-by-step work for how to convert base-10 number (52)10 into octal (base-8) equivalent manually.
(52)10 in octal is equal to:
5210 = 648
Hence,
the octal equivalent of decimal number (52)10 is (64)8
where,
5210 is the given decimal number,
10 in 5210 represents the base-10 or decimal number system,
648 is the octal equivalent of the decimal 52,
8 in 648 represents the base-8 or octal number system.
Important Notes: (52)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 52 into a (base-8) octal equivalent.
- The first remainder while performing 52 MOD-8 operation is a Least Significant Bit (LSB).
- The final remainder while performing 52 MOD-8 operation is a Most Significant Bit (MSB).
- The remainders of 52 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (52)10.
How-to: What is (52)10 in octal?
The below step-by-step solution shows how to convert the decimal number 52 to its equivalent octal number. Representing each remainders of 52 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 52.
Solved Example:What is the octal equivalent of 52?
step 1 Observe the input parameters, values and what to be found:
Input values:
Decimal Number = (52)10
What to be found:
What is the octal equivalent of the decimal number (52)10?
(52)10 = (?)8
step 2 Perform successive 52 MOD-8 operation until the quotient becomes 0, and mark the first remainder as LSB and the final remainder as MSB as like the below:
Successive MOD-8 Operation for 52
| 52 MOD-8 | 52 / 8 = 6 | Remainder is 4 → LSB |
| 6 MOD-8 | 6 / 8 = 0 | Remainder is 6 → MSB |
step 3 Arrange or write the remainders of 52 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 52:
= 64
(52)10 = (64)8
Therefore,
the octal equivalent of decimal 52 is (64)8.
