Convert Decimal 45 to Octal
(45)10 = (?)8. Decimal 45 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (45)10 and the step-by-step work for how to convert base-10 number (45)10 into octal (base-8) equivalent manually.
(45)10 in octal is equal to:
4510 = 558
the octal equivalent of decimal number (45)10 is (55)8
4510 is the given decimal number,
10 in 4510 represents the base-10 or decimal number system,
558 is the octal equivalent of the decimal 45,
8 in 558 represents the base-8 or octal number system.
Important Notes: (45)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 45 into a (base-8) octal equivalent.
- The first remainder while performing 45 MOD-8 operation is a Least Significant Bit (LSB).
- The final remainder while performing 45 MOD-8 operation is a Most Significant Bit (MSB).
- The remainders of 45 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (45)10.
How-to: What is (45)10 in octal?
The below step-by-step solution shows how to convert the decimal number 45 to its equivalent octal number. Representing each remainders of 45 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 45.Solved Example:
What is the octal equivalent of 45?
step 1 Observe the input parameters, values and what to be found:
Decimal Number = (45)10
What to be found:
What is the octal equivalent of the decimal number (45)10?
(45)10 = (?)8
step 2 Perform successive 45 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 45
|45 MOD-8||45 / 8 = 5||Remainder is 5 → LSB|
|5 MOD-8||5 / 8 = 0||Remainder is 5 → MSB|
step 3 Arrange or write the remainders of 45 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 45:
(45)10 = (55)8
the octal equivalent of decimal 45 is (55)8.