The Sum of Products expansion for the function F(x, y, z) = (x + y)z̅ is given…
2013
The Sum of Products expansion for the function F(x, y, z) = (x + y)z̅ is given as
- A.
x’y’z + xyz̅ + x’yz̅
- B.
xyz + xyz̅ + xy’z̅
- C.
xy’z̅ + x’y’z̅ + xyz̅
- D.
xyz̅ + xy’z̅ + x’yz̅
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Correct answer: D
First, distribute z̅ to obtain xz̅ + yz̅. Then expand each term into canonical minterms by including missing variables. xz̅ becomes xy z̅ + xy' z̅, while yz̅ becomes xyz̅ + x'y z̅. The final Sum of Products expansion is xyz̅ + xy'z̅ + x'y z̅.
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