In a logic circuit, inputs A and B are fed into an AND gate. The output of this AND gate, along with a third input C , is fed into a NOR gate to produce the final output Y . Which of the following combinations of input states will result in

Question

In a logic circuit, inputs A and B are fed into an AND gate. The output of this AND gate, along with a third input C , is fed into a NOR gate to produce the final output Y . Which of the following combinations of input states will result in Y = 1 ?

Quantrex Academy · Accepted Answer

Correct answer: D. A = 0, B = 1, C = 0

The boolean expression for the output of the AND gate is A B . This output and input C are fed into a NOR gate. The final output Y is given by: Y = (A B) + C For Y to be 1 , the input to the final NOT operation must be 0 . Thus: (A B) + C = 0 Since this is an OR operation resulting in 0 , both terms must be 0 : C = 0 A B = 0 For A B = 0 , at least one of A or B must be 0 . Checking the given options: Option 1: A=1, B=1 A B = 1 . So Y = 0 . Option 2: C=1 . So Y = 0 . Option 3: C=1 . So Y = 0 . Option 4: A=0, B=1 A B

In a logic circuit, inputs A and B are fed into an AND gate. The output of this AND gate, along with a third input C , is fed into a NOR gate to produce the final output Y . Which of the following combinations of input states will result in Y = 1 ?

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