(110)8 = (?)10. Octal 110 to decimal decimal conversion provides the detailed information on what is the decimal equivalent of the octal 110 and the step-by-step work for how to convert (110)8 into corresponding (base-10) decimal equivalent manually.
(110)8 in decimal is equal to:
1108 = 7210
0o110 = 7210
Hence,
the decimal equivalent of octal number (110)8 is (72)10.
where,
1108 is the given octal number,
8 in 1108 represents the base-8 or octal number system,
72 is the decimal equivalent of octal number 110,
10 in 7210 represents the base-10 or decimal number system.
Important Notes: (110)8 in Decimal
The below are some of the important notes to be remembered while converting the (base-8) octal number 110 into a (base-10) decimal equivalent.
The below step-by-step solution shows how to convert (110)8 into decimal equivalent. To find the decimal equivalent of (110)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 110. The sum of all individual products is the decimal equivalent of octal 110.
Solved Example:
Convert (110)8 into decimal equivalent.
step 1 Observe the input parameters, values and what to be found.
Input values:
Octal Number = 1108
What to be found:
What is the decimal equivalent of (110)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 110. Therefore, arrange the given decimal number 110 in the expression form as like the below:
= (1 x 82) + (1 x 81) + (0 x 80)
step 3 Resolve the powers of 8 in the above equation:
= (1 x 64) + (1 x 8) + (0 x 1)
step 3 Simplify the above equation further:
= 64 + 8 + 0
= 72
(110)2 = (72)10
Therefore,
72 is the decimal equivalent of octal number (110)8