# Convert (13)8 into Decimal Equivalent

(13)8 = (?)10. Octal 13 to decimal decimal conversion provides the detailed information on what is the decimal equivalent of the octal 13 and the step-by-step work for how to convert (13)8 into corresponding (base-10) decimal equivalent manually.

(13)8 in decimal is equal to:
138 = 1110
0o13 = 1110
Hence,
the decimal equivalent of octal number (13)8 is (11)10.

where,
138 is the given octal number,
8 in 138 represents the base-8 or octal number system,
11 is the decimal equivalent of octal number 13,
10 in 1110 represents the base-10 or decimal number system.

Important Notes: (13)8 in Decimal
The below are some of the important notes to be remembered while converting the (base-8) octal number 13 into a (base-10) decimal equivalent.

1. The right most digit in the given base-8 number 13 is a Least Significant Digit (LSD).
2. The left most digit in the given base-8 number 13 is a Most Significant Digit (MSD).
3. The LSD of 13 should be multiplied with 80.
4. The MSD of 13 should be multiplied with 8(no. of digits - 1).
5. For octal values other than 13, use this below tool:

## How-to: What is (13)8 in decimal?

The below step-by-step solution shows how to convert (13)8 into decimal equivalent. To find the decimal equivalent of (13)8, multiply 80 with the right most digit, 81 with the left subsequent digit and so on until the left most digit of the given octal number 13. The sum of all individual products is the decimal equivalent of octal 13.
Solved Example:
Convert (13)8 into decimal equivalent.
step 1 Observe the input parameters, values and what to be found.

Input values:
Octal Number = 138

What to be found:
What is the decimal equivalent of (13)8?

step 2 Multiply 80 with the right most digit, 81 with the left subsequent digit and so on until the left most digit of the given octal number 13. Therefore, arrange the given decimal number 13 in the expression form as like the below:
= (1 x 81) + (3 x 80)

step 3 Resolve the powers of 8 in the above equation:
= (1 x 8) + (3 x 1)

step 3 Simplify the above equation further:
= 8 + 3
= 11
(13)2 = (11)10

Therefore,
11 is the decimal equivalent of octal number (13)8 