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The given hexadecimal number (1E.53)16 is equivalent to ____________(a) (35.684)8(b) (36.246)8(c) (34.340)8(d) (35.599)8I had been asked this question in my homework.Question is taken from Number System in section Number System and Codes of Digital Circuits

Answer»

The correct option is (b) (36.246)8

To ELABORATE: First, the hexadecimal number is converted to it’s equivalent binary form, by writing the binary equivalent of each digit in form of 4 bits. Then, the binary equivalent bits are GROUPED in terms of 3 bits and then for each of the 3-bits, the respective digit is written. Thus, the octal equivalent is obtained.

(1E.53)16 = (0001 1110.0101 0011)2

= (00011110.01010011)2

= (011110.010100110)2

= (011 110.010 100 110)2

= (36.246)8.



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