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The decimal equivalent of the octal number (645)8 is ______

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The decimal equivalent of the octal number (645)8 is ______

(a) (450)10

(b) (451)10

(c) (421)10

(d) (501)10

I have been asked this question in an interview for job.

My doubt stems from Number System in portion Number System and Codes of Digital Circuits

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Correct choice is (c) (421)10

Explanation: Octal to Decimal conversion is obtained by multiplying 8 to the power of base index along with the value at that index position.

The decimal equivalent of the octal number (645)8  is 6 * 8^2 + 4 * 8^1 + 5 * 8^0 = 6 * 64 + 4 * 8 + 5 = 384 + 32 + 5 = (421)10.

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