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GATE CS 2018 - Digital Logic Quiz-12 ( Computer Arithmetic)

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Question 1

The n-bit fixed-point representation of an unsigned real number real X uses f bits for the fraction part. Let The range of decimal values for X in this representation is

Question 2

The number of roots of ex+0.5 x2-2 =0 in the range [-5,5] is ______.

Question 3

Find the value of the of following expression (in decimal).
(2)base 3 + (10)base 4 + (11)base 5 + (14)base 6 + (22)base 7

Question 4

What does the binary number “1000” represent in one’s complement, two’s complement and sign magnitude representations, respectively?

Question 5

The value of a float type variable is represented using the single-precision 32-bit floating point format of IEEE-754 standard that uses 1 bit for sign, 8 bits for biased exponent and 23 bits for mantissa. A float type variable X is assigned the decimal value of −14.25. The representation of X in hexadecimal notation is
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Apr 14GATE & PSU CS