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GATE CS 2019 - Digital Logic Quiz-4 ( Computer Arithmetic)

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Question 1

Consider the following floating point format:

The exponent is formatted using excess 16 notation with an implied base of 2. If the contents are:
Sign: 0
Exponent: 10111
Mantissa: 1100100000
What is the exponent value expressed by the above format?

Question 2

Let X = 1011 be a gray code number. Then find the decimal equivalent of X.

Question 3

The

is numerically not equivalent to

Question 4

Consider an eight-bit ripple-carry adder for computing the sum of A and B, where A and B are integers represented in 2’s complement form. If the decimal value of A is one, the decimal value of B that leads to the longest latency for the sum to stabilize is __________.

Question 5

Using Booth’s algorithm for multiplication the multiplier − 57 will be recorded as.

Question 6

The

3 -variable

function

f = Σ (0, 1, 2, 4)

its self-dual of _____.

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GATE & PSU CS Digital Logic

Aug 9GATE & PSU CS