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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)10I 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

Answer»

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)8is 6 * 8^2 + 4 * 8^1 + 5 * 8^0 = 6 * 64 + 4 * 8 + 5 = 384 + 32 + 5 = (421)10.



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