Convert (1013)8 into Decimal Equivalent

(1013)8 = (?)10. Octal 1013 to decimal decimal conversion provides the detailed information on what is the decimal equivalent of the octal 1013 and the step-by-step solution using most simple method for how to convert (1013)8 into corresponding (base-10) decimal equivalent manually.

(1013)₈ in decimal is equal to:
1013₈ = 523₁₀
0o1013 = 523₁₀
Hence,
the decimal equivalent of octal number (1013)8 is (523)10.

where,
1013₈ is the given octal number,
8 in 1013₈ represents the base-8 or octal number system,
523 is the decimal equivalent of octal number 1013,
10 in 523₁₀ represents the base-10 or decimal number system.

Important Notes: (1013)8 in Decimal
The below are some of the important notes to be remembered while converting the (base-8) octal number 1013 into a (base-10) decimal equivalent.

1. The right most digit in the given base-8 number 1013 is a Least Significant Digit (LSD).
2. The left most digit in the given base-8 number 1013 is a Most Significant Digit (MSD).
3. The LSD of 1013 should be multiplied with 8⁰.
4. The MSD of 1013 should be multiplied with 8^{(no. of digits - 1)}.
For octal values other than 1013, use this below tool:

SUBMIT

The below step-by-step solution using the most easiest method shows how to convert (1013)8 into decimal equivalent. To find the decimal equivalent of (1013)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 1013. The sum of all individual products is the decimal equivalent of octal 1013.
Solved Example:
Convert (1013)8 into decimal equivalent.
step 1 Observe the input parameters, values and what to be found.

Input values:
Octal Number = 1013₈

What to be found:
What is the decimal equivalent of (1013)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 1013. Therefore, arrange the given decimal number 1013 in the expression form as like the below:
= (1 x 8³) + (0 x 8²) + (1 x 8¹) + (3 x 8⁰)

step 3 Resolve the powers of 8 in the above equation:
= (1 x 512) + (0 x 64) + (1 x 8) + (3 x 1)

step 3 Simplify the above equation further:
= 512 + 0 + 8 + 3
= 523
(1013)₂ = (523)₁₀

Therefore,
523 is the decimal equivalent of octal number (1013)8