# 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

Hence,
the octal equivalent of decimal number (45)10 is (55)8

where,
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.

1. The first remainder while performing 45 MOD-8 operation is a Least Significant Bit (LSB).
2. The final remainder while performing 45 MOD-8 operation is a Most Significant Bit (MSB).
3. 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.

For decimal values other than 45, use this below tool:

## 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:

Input values:
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:
= 55
(45)10 = (55)8

Therefore,
the octal equivalent of decimal 45 is (55)8. 