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Convert the binary number (01011.1011)2 into decimal.(a) (11.6875)10(b) (11.5874)10(c) (10.9876)10(d) (10.7893)10I got this question in class test.Enquiry is from Number System in portion Number System and Codes of Digital Circuits

Answer»

Right choice is (a) (11.6875)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.

(01011)2 = 0 * 2^4 + 1 * 2^3 + 0 * 2^2 + 1 * 2^1 + 1 * 2^0 = 11

(1011)2 = 1 * 2^-1 + 0 * 2^-2 + 1 * 2^-3 + 1 * 2^-4 = 0.6875

So,(01011.1011)2 = (11.6875)10.


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