# Convert (40)8 into Decimal Equivalent

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

__(40) _{8} in decimal is equal to:__

40

_{8}= 32

_{10}

0o40 = 32

_{10}

Hence,

the decimal equivalent of octal number (40)8 is (32)10.

__where,__

40

_{8}is the given octal number,

8 in 40

_{8}represents the base-8 or octal number system,

32 is the decimal equivalent of octal number 40,

10 in 32

_{10}represents the base-10 or decimal number system.

__Important Notes: (40)8 in Decimal__

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

- The right most digit in the given base-8 number 40 is a Least Significant Digit (LSD).
- The left most digit in the given base-8 number 40 is a Most Significant Digit (MSD).
- The LSD of 40 should be multiplied with 8
^{0}. - The MSD of 40 should be multiplied with 8
^{(no. of digits - 1)}.

## How-to: What is (40)8 in decimal?

The below step-by-step solution shows how to convert (40)8 into decimal equivalent. To find the decimal equivalent of (40)8, multiply 8^{0} with the right most digit, 8^{1} with the left subsequent digit and so on until the left most digit of the given octal number 40. The sum of all individual products is the decimal equivalent of octal 40.

__Solved Example:__

Convert (40)8 into decimal equivalent.

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

Input values:

Octal Number = 40_{8}

What to be found:

What is the decimal equivalent of (40)8?

step 2 Multiply 8^{0} with the right most digit, 8^{1} with the left subsequent digit and so on until the left most digit of the given octal number 40. Therefore, arrange the given decimal number 40 in the expression form as like the below:

= (4 x 8^{1}) + (0 x 8^{0})

step 3 Resolve the powers of 8 in the above equation:

= (4 x 8) + (0 x 1)

step 3 Simplify the above equation further:

= 32 + 0

= 32

(40)_{2} = (32)_{10}

Therefore,

32 is the decimal equivalent of octal number (40)8