DATA REPRESENTATION AND NUMBER SYSTEMS
TWOS COMPLEMENT AND FLOATING POINT REPRESENTATION
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Question
[CLICK ON ANY CHOICE TO KNOW THE RIGHT ANSWER]
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What is 0.125 in fixed point binary (4 bits for the whole number / 4 bits for fractional part)?
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10001000
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00000010
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00001000
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00011000
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Explanation:
Detailed explanation-1: -Solution. First, convert 0.625, the magnitude of the second number, to fixed-point binary notation. 0.625 ≥ 2−1, so there is a 1 in the 2−1 column, leaving 0.625 − 0.5 = 0.125.
Detailed explanation-2: -Answer: The decimal value 0.25 is equivalent to the binary value 0.01 because we can convert 0.25 to binary by dividing 0.25 by 2 and recording the remainder until the quotient becomes 0. The resulting binary number is 0.01.
Detailed explanation-3: -The decimal number 0.75 is written as 0.11 in binary.
There is 1 question to complete.