62. Conversion of binary number 1010101000010111 to hexadecimal number is A.D8F916 B.A8B916 C.AA1716 D.D9F816 E.None of the above

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Abhishek Mishra

2 years ago

Option C Solution: Conversion of binary number 1010101000010111 to hexadecimal number is (AA17)16 Now we convert these pairs hexadecimal like 1010 = 1 × 23 + 0 × 22 + 1 × 21 + 0 × 20          = 8 + 0 + 2 + 0          = 10          = A 1010 = 1 × 23 + 0 × 22 + 1 × 21 + 0 × 20          = 8 + 0 + 2 + 0          = 10          = A 0001 = 0 × 23 + 0 × 22 + 0 × 21 + 1 × 20          = 0 + 0 + 0 + 1          = 1 0111 = 0 × 23 + 1 × 22 + 1 × 21 + 1 × 20          = 0 + 4 + 2 + 1          = 7 So (1010101000010111)2 = (AA17)16 1010101000010111 binary = (AA17)16 hexadecimal

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