Phrases Previous Year Questions (PYQs) – Boolean Algebra – Page 1 of 3
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Suppose that
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Consider the Boolean expression
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Which of the following is the CORRECT truth table for the XOR Gate with two binary inputs A and B?
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Given the Boolean expression
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Which one of the following Boolean algebraic rule is correct?
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A + A'B = (A + A') . (A + B)
= 1 . (A + B)
= A + B
Which term is redundant in the expression AB + A'C + BC ?
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The total number binary function that can be defined using n Boolean variables is
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✅ Given Information:
We are asked to find the total number of binary functions that can be defined using n Boolean variables.
✅ Step 1: Number of input combinations:
For n Boolean variables, the number of possible input combinations is 2n.
✅ Step 2: Number of possible outputs:
Each input combination can map to either 0 or 1, so there are 2 possible outputs for each of the 2n input combinations.
✅ Final Formula:
Total Binary Functions = 2(2n)
✅ Final Answer:
The total number of binary functions that can be defined using n Boolean variables is: 2(2n)
Assume x' represents negation of x the Boolean function x'y' + xy + x'y is equivalent to?
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The equivalence of given expression x+x'y with Boolean theorem is….
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x+x'y
=(x+x')(x+y)=(x+y)
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