1- For the Boolean function: F = xy'z + x'y'z + w'xy + wx'y + wxy (a) Obtain the truth table of F. (b) Draw the logic diagram, using the original Boolean expression. (c) Use Boolean algebra to simplify the function to a minimum number of literals. (d) Obtain the truth table of the function from the simplified expression and show that it is the same as the one in part (a). (e) Draw the logic diagram from the simplified expression and compare the total number of gates with the diagram of part (b). 2- Obtain the truth table of the following functions and express each function in sum of minterms. a) (xy + z) (y + xz) b) (A'+ B) (B'+C) c) y'z+ wxy'+wxz'+w'x'z

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1- For the Boolean function:
F = xy'z + x'y'z + w'xy + wx'y + wxy
(a) Obtain the truth table of F.
(b) Draw the logic diagram, using the original Boolean expression.
(c) Use Boolean algebra to simplify the function to a minimum number of literals.
(d) Obtain the truth table of the function from the simplified expression and show that
it is the same as the one in part (a).
(e) Draw the logic diagram from the simplified expression and compare the total
number of gates with the diagram of part (b).
2- Obtain the truth table of the following functions and express each function in sum of
minterms.
a) (xy + z) (y + xz)
b) (A' + B) (B'+C)
c) y'z+ wxy'+wxz'+w'x'z
Transcribed Image Text:1- For the Boolean function: F = xy'z + x'y'z + w'xy + wx'y + wxy (a) Obtain the truth table of F. (b) Draw the logic diagram, using the original Boolean expression. (c) Use Boolean algebra to simplify the function to a minimum number of literals. (d) Obtain the truth table of the function from the simplified expression and show that it is the same as the one in part (a). (e) Draw the logic diagram from the simplified expression and compare the total number of gates with the diagram of part (b). 2- Obtain the truth table of the following functions and express each function in sum of minterms. a) (xy + z) (y + xz) b) (A' + B) (B'+C) c) y'z+ wxy'+wxz'+w'x'z
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