Convert Decimal 23 to Octal
(23)10 = (?)8. Decimal 23 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (23)10 and the step-by-step work for how to convert base-10 number (23)10 into octal (base-8) equivalent manually.
(23)10 in octal is equal to:
2310 = 278
Hence,
the octal equivalent of decimal number (23)10 is (27)8
where,
2310 is the given decimal number,
10 in 2310 represents the base-10 or decimal number system,
278 is the octal equivalent of the decimal 23,
8 in 278 represents the base-8 or octal number system.
Important Notes: (23)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 23 into a (base-8) octal equivalent.
- The first remainder while performing 23 MOD-8 operation is a Least Significant Bit (LSB).
- The final remainder while performing 23 MOD-8 operation is a Most Significant Bit (MSB).
- The remainders of 23 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (23)10.
How-to: What is (23)10 in octal?
The below step-by-step solution shows how to convert the decimal number 23 to its equivalent octal number. Representing each remainders of 23 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 23.
Solved Example:What is the octal equivalent of 23?
step 1 Observe the input parameters, values and what to be found:
Input values:
Decimal Number = (23)10
What to be found:
What is the octal equivalent of the decimal number (23)10?
(23)10 = (?)8
step 2 Perform successive 23 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 23
| 23 MOD-8 | 23 / 8 = 2 | Remainder is 7 → LSB |
| 2 MOD-8 | 2 / 8 = 0 | Remainder is 2 → MSB |
step 3 Arrange or write the remainders of 23 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 23:
= 27
(23)10 = (27)8
Therefore,
the octal equivalent of decimal 23 is (27)8.
