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The decimal equivalent of the binary number (1011.011)2 is ________(a) (11.375)10(b) (10.123)10(c) (11.175)10(d) (9.23)10The question was posed to me in an interview for job.I need to ask this question from Number System topic in section Number System and Codes of Digital Circuits

Answer»

Correct CHOICE is (a) (11.375)10

The best I can EXPLAIN: Binary to DECIMAL conversion is obtained by multiplying 2 to the power of base index ALONG with the value at that index position.

1 * 2^3 + 0 * 2^2 + 1 * 2^1 +1*2^0 + 0 * 2^-1 +1 * 2^-2 + 1 * 2^-3 = (11.375)10

Hence, (1011.011)2 = (11.375)10


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