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1) For the following expression : F=(X+Y)X +Y/Z a) Draw the circuit b) Derive the true table c) Implement the circuit using NOR gates
1) For the following expression : F=(X+Y)X +Y/Z a) Draw the circuit b) Derive the true table c) Implement the circuit using NOR gates only.
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Here are the solutions for the given expression FXYX YZ a Circuit using basic gates Inverter for X Connect an inverter NOT gate to input X to get X OR gate for XY Connect a twoinput OR gate with inputs X and Y Inverter for XY Connect an inverter to the output of the OR gate to get XY AND gate for XYX Connect a twoinput AND gate with inputs X and XY Inverter for Y Connect an inverter to input Y to get Y AND gate for YZ Connect a twoinput AND gate with inputs Y and Z OR gate for F Connect a twoinput OR gate with inputs from the outputs of the AND gates in steps 4 and 6 The output of this OR gate will be F b Truth table X Y Z XY XYX YZ F 0 0 0 1 0 1 1 0 0 1 1 0 0 0 0 1 0 0 0 1 1 0 1 1 0 0 0 0 1 0 0 0 0 1 1 1 0 1 0 0 0 0 1 1 0 0 0 1 1 1 1 1 0 0 0 0 c Circuit using NOR gates only NOR gate for X Connect a NOR gate with both inputs tied to X NOR gate for Y Connect a NOR gate with both inputs tied to Y NOR gate for Z Connect a NOR gate with both inputs tied to Z NOR gate for XY Connect a NOR gate with inputs X and Y NOR gate for XYX Connect a NOR gate with inputs XY and X NOR gate for YZ Connect a NOR gate with inputs Y and Z NOR gate for F Connect a NOR gate with inputs from the outputs of the NOR gates in steps 5 and 6 The output of this NOR gate will be F Reminder To implement AND using NOR gates connect both inputs to a NOR gate then invert the output To implement OR using NOR gates invert all inputs connect them to a NOR gate then invert the output a Drawing the circuit using basic gates Step 1 Inverting X Place an inverter NOT gate symbol with input ...
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Computer Organization And Design The Hardware Software Interface
Authors: David A. Patterson, John L. Hennessy
4th Revised Edition
0123747503, 978-0123747501
