The hexadecimal number for( 95.5)10 is(A) (5F.8)16(B) (9A.B)16(C) (2E.F)16(D) (5A.4)16
Question
The hexadecimal number for ( 95.5 )10 is
(A) (5F.8)16
(B) (9A.B)16
(C) (2E.F)16
(D) (5A.4)16
Solution
To convert the decimal number 95.5 into hexadecimal, we need to handle the integer part (95) and the fractional part (0.5) separately.
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Convert the integer part: 95 divided by 16 gives 5 remainder 15. In hexadecimal, 15 is represented by the letter 'F'. So, the integer part of 95 in hexadecimal is 5F.
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Convert the fractional part: 0.5 times 16 equals 8. So, the fractional part of 0.5 in hexadecimal is 8.
Therefore, the hexadecimal representation of the decimal number 95.5 is (5F.8)16. So, the correct answer is (A) (5F.8)16.
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