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GATE 2024 Subject Name Foundation Quiz 87
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Question 1
Consider the arithmetic operation shown below with base ‘r’ then find the value of r.
(55)r + (12)r + (31)r = (142)r
Question 2
In a particular number system the cubic equation:
x3 + bx2 + cx - 190 = 0 has the roots x = 5, x = 8, and x = 9. The base of the number system is _____________.
x3 + bx2 + cx - 190 = 0 has the roots x = 5, x = 8, and x = 9. The base of the number system is _____________.
Question 3
The greatest negative number which can be stored in a 8 – bit register using 2’s complement arithmetic is
Question 4
In the circuit shown below X and Y are digital inputs and Z is a digital output Find equivalent circuit.
Question 5
Expression for 
in figure, where 
and 
are Boolean variables is
in figure, where and are Boolean variables is - 27 attempts
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Jun 8ESE & GATE EC
