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What will the output be in the following logic diagram? The inputs for the top circuit are 1 and 1. The inputs for the bottom circuit are 1 and 0.

Computer Science

ScanSolve AI Answer

Answer

A=1,B=1A=1, B=1

Step-by-step solution

5 steps
  1. Identify the gates and inputs.

    The upper circuit has a 2-input AND gate with inputs 1 and 1, followed by a 2-input OR gate with the AND output and input 0, outputting to A.
    The lower circuit has a 2-input AND gate with inputs 1 and 0, followed by a NOT gate (inverter), outputting to B.

  2. Compute upper AND gate (G1).

    G1=1∧1G1 = 1 \land 1

    Substitute: G1=1∧1=1G1 = 1 \land 1 = 1

  3. Compute upper OR gate (G2 = A).

    A=G1∨0A = G1 \lor 0

    Substitute: A=1∨0=1A = 1 \lor 0 = 1

  4. Compute lower AND gate (G3).

    G3=1∧0G3 = 1 \land 0

    Substitute: G3=1∧0=0G3 = 1 \land 0 = 0

  5. Compute lower NOT gate (G4 = B).

    B=¬G3B = \neg G3

    Substitute: B=¬0=1B = \neg 0 = 1

    A = 1, B = 1
    A=1, B=1

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