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Find out decimal equivalent of 27 in octal number system:
Question

Find out decimal equivalent of 27 in octal number system:

A.

24

B.

21

C.

23

D.

25

Correct option is C

To convert the octal number 27octal27_{octal}27
to its decimal (base-10) equivalent, we follow these steps:

27octal=2×81+7×8027_{octal} = 2 \times 8^1 + 7 \times 8^0

2×81=2×8=162 \times 8^1 = 2 \times 8 = 16,    7×80=7×1=77 \times 8^0 = 7 \times 1 = 7

27octal=16+7=2327_{octal} = 16 + 7 = 23​​​

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