# Convert Decimal 40 to Octal

(40)10 = (?)8. Decimal 40 to octal conversion provides the detailed information on what is the octal equivalent of the decimal number (40)10 and the step-by-step work for how to convert base-10 number (40)10 into octal (base-8) equivalent manually.

(40)10 in octal is equal to:
4010 = 508

Hence,
the octal equivalent of decimal number (40)10 is (50)8

where,
4010 is the given decimal number,
10 in 4010 represents the base-10 or decimal number system,
508 is the octal equivalent of the decimal 40,
8 in 508 represents the base-8 or octal number system.

Important Notes: (40)10 in Octal
The below are some of the important notes to be remembered while converting the (base-10) decimal number 40 into a (base-8) octal equivalent.

1. The first remainder while performing 40 MOD-8 operation is a Least Significant Bit (LSB).
2. The final remainder while performing 40 MOD-8 operation is a Most Significant Bit (MSB).
3. The remainders of 40 MOD-8 operation should be written from MSB to LSB to form the octal equivalent for the given decimal number (40)10.

For decimal values other than 40, use this below tool:

## How-to: What is (40)10 in octal?

The below step-by-step solution shows how to convert the decimal number 40 to its equivalent octal number. Representing each remainders of 40 MOD-8 operation in octal equivalents and arranging them from MSB to LSB produces the octal equivalent of 40.

Solved Example:
What is the octal equivalent of 40?

step 1 Observe the input parameters, values and what to be found:

Input values:
Decimal Number = (40)10

What to be found:
What is the octal equivalent of the decimal number (40)10?
(40)10 = (?)8

step 2 Perform successive 40 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 40
 40 MOD-8 40 / 8 = 5 Remainder is 0 → LSB 5 MOD-8 5 / 8 = 0 Remainder is 5 → MSB

step 3 Arrange or write the remainders of 40 MOD-8 operation from MSB to LSB produces the equivalent octal number for decimal 40:
= 50
(40)10 = (50)8

Therefore,
the octal equivalent of decimal 40 is (50)8. 