(53)8 = (?)10. Octal 53 to decimal decimal conversion provides the detailed information on what is the decimal equivalent of the octal 53 and the step-by-step work for how to convert (53)8 into corresponding (base-10) decimal equivalent manually.
(53)8 in decimal is equal to:
538 = 4310
0o53 = 4310
Hence,
the decimal equivalent of octal number (53)8 is (43)10.
where,
538 is the given octal number,
8 in 538 represents the base-8 or octal number system,
43 is the decimal equivalent of octal number 53,
10 in 4310 represents the base-10 or decimal number system.
Important Notes: (53)8 in Decimal
The below are some of the important notes to be remembered while converting the (base-8) octal number 53 into a (base-10) decimal equivalent.
The below step-by-step solution shows how to convert (53)8 into decimal equivalent. To find the decimal equivalent of (53)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 53. The sum of all individual products is the decimal equivalent of octal 53.
Solved Example:
Convert (53)8 into decimal equivalent.
step 1 Observe the input parameters, values and what to be found.
Input values:
Octal Number = 538
What to be found:
What is the decimal equivalent of (53)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 53. Therefore, arrange the given decimal number 53 in the expression form as like the below:
= (5 x 81) + (3 x 80)
step 3 Resolve the powers of 8 in the above equation:
= (5 x 8) + (3 x 1)
step 3 Simplify the above equation further:
= 40 + 3
= 43
(53)2 = (43)10
Therefore,
43 is the decimal equivalent of octal number (53)8