GATE | Gate IT 2007 | Question 42

(C012.25)H – (10111001110.101)B =
(A) (135103.412)o
(B) (564411.412)o
(C) (564411.205)o
(D) (135103.205)o


Answer: (A)

Explanation: (C012.25)H – (10111001110.101)B
= 1100 0000 0001 0010. 0010 0101 (convert each digit of hexa to 4 bit binary)
– 0000 0101 1100 1110. 1010 0000
= 1011 1010 0100 0011. 1000 0101
= 1 011 101 001 000 011 . 100 001 010 (make pairing of 3 to convert in octal)
= (135103.412)o


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