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GATE CS 2019 - Digital Logic Quiz-1 ( Number Systems)
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Question 1
The n-bit fixed-point representation of an unsigned real number X uses f bits for the fraction part and i bits for the integer part. Then the range of decimal values for X in this representation is
Question 2
(22)4 +(101)3 - (20)5 = (x)4 + (7)8
The value of x is___
Question 3
4-bit 2’s complement representation of a decimal number is 1000. The number is___
Question 4
A digital circuit accepts a 3-bit number and generates an output equal to the square of the input number. If the circuit is to be designed using a ROM with minimum hardware, the size of ROM is.
Question 5
F’s complement of (2BFD)16 is____.
Question 6
In a particular number system the cubic equation
has roots
=5,
=8 and 
=9. The base of the number system is ?
has roots
=5,=8 and =9. The base of the number system is ?- 515 attempts
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Sep 29GATE & PSU CS
