Show a Logic Circuit Diagram for the following Boolean Expression: F = abc + a'c'
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Show a Logic Circuit Diagram for the following Boolean Expression:
F = abc + a'c'
Step by step
Solved in 2 steps with 1 images
- Simplify the following Boolean expression uing Boolean algebra F=xy+wz+(x'y'+z)'+zGiven the function F(X,Y,Z) = X’Y’Z’ + X’YZ’ + XY’Z + XYZ : Draw the logic diagram using the original Boolean expression.For the Boolean function: F = XY'Z+ X'Y’Z+W'XY + WX'Y + WXY Obtain the truth table of F. Draw the logic diagram, using the original Boolean expression. Use Boolean algebra to simplify the function to a minimum number of literals. Obtain the truth table of the function from the simplified expression and show that it is the same as the one in part (a). Draw the logic diagram from the simplified expression, and compare the total number of gates with the diagram of part (b).
- Given the following logic function: F = x’y’z’ + xyz + xy’z + x’yz’ Simplify the logic function. Draw the logic diagram after simplification.Simplify the following Boolean expression uing Boolean algebra B(A'C'+D')'+AC+ABC'+B'Q2: Given the Boolean function F = xy'z + x'y'z +w'xy + wx'y + wxy (a) Obtain the truth table of the function. (b) Draw the logic diagram using the original Boolean expression.