Convert (1020)8 into Decimal Equivalent

(1020)8 = (?)10. Octal 1020 to decimal decimal conversion provides the detailed information on what is the decimal equivalent of the octal 1020 and the step-by-step solution using most simple method for how to convert (1020)8 into corresponding (base-10) decimal equivalent manually.

(1020)₈ in decimal is equal to:
1020₈ = 528₁₀
0o1020 = 528₁₀
Hence,
the decimal equivalent of octal number (1020)8 is (528)10.

where,
1020₈ is the given octal number,
8 in 1020₈ represents the base-8 or octal number system,
528 is the decimal equivalent of octal number 1020,
10 in 528₁₀ represents the base-10 or decimal number system.

Important Notes: (1020)8 in Decimal
The below are some of the important notes to be remembered while converting the (base-8) octal number 1020 into a (base-10) decimal equivalent.

1. The right most digit in the given base-8 number 1020 is a Least Significant Digit (LSD).
2. The left most digit in the given base-8 number 1020 is a Most Significant Digit (MSD).
3. The LSD of 1020 should be multiplied with 8⁰.
4. The MSD of 1020 should be multiplied with 8^{(no. of digits - 1)}.
For octal values other than 1020, use this below tool:

SUBMIT

The below step-by-step solution using the most easiest method shows how to convert (1020)8 into decimal equivalent. To find the decimal equivalent of (1020)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 1020. The sum of all individual products is the decimal equivalent of octal 1020.
Solved Example:
Convert (1020)8 into decimal equivalent.
step 1 Observe the input parameters, values and what to be found.

Input values:
Octal Number = 1020₈

What to be found:
What is the decimal equivalent of (1020)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 1020. Therefore, arrange the given decimal number 1020 in the expression form as like the below:
= (1 x 8³) + (0 x 8²) + (2 x 8¹) + (0 x 8⁰)

step 3 Resolve the powers of 8 in the above equation:
= (1 x 512) + (0 x 64) + (2 x 8) + (0 x 1)

step 3 Simplify the above equation further:
= 512 + 0 + 16 + 0
= 528
(1020)₂ = (528)₁₀

Therefore,
528 is the decimal equivalent of octal number (1020)8