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# GATE 2020 : Computer Organization & Architecture Quiz 9 (App update required to attempt this test)

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Question 1

Consider a reduced 7-bit IEEE floating-point format, with 3 bits for the exponent and 3 bits for the significand (Mantissa).What will be the value which get stored in the system corresponding to (-0.5625)?

Question 2

Consider the Following IEEE 32 bit representation:

0 01111110 10100000000000000000000

Its decimal equivalent is ___________ (Upto 4 decimal places)

Question 3

Consider the following values, using the IEEE 754 single precision floating-point format. What is
the equivalent value as a decimal number?

0101 1100 1010 0100 0100 0000 0000 0000

Question 4

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

Question 5

In the IEEE floating point representation the hexadecimal value 0x00000000 corresponds to

Question 6

What is the result of evaluating the following two expressions using three-digit floating point arithmetic with rounding?
(113. + - 111.) + 7.51
113. + (- 111. + 7.51)
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