Question

Find the sum of product expansion of the Boolean Function given by F(x,y,z)=x.(y+z') by using identities and also by using table

Answer 1

Answer to Question #68700, Math / Discrete Mathematics

Find the sum of product expansion of the Boolean Function given by

$$F(x, y, z) = x(y + z')$$

by using identities and also by using table.

Solution.

Solution.

We take rows from truth table where

$$x(y + z') = 1$$

These rows are:

$$x = 1; y = 0; z = 0 \Rightarrow xy'z'$$ $$x = 1; y = 1; z = 0 \Rightarrow xyz'$$ $$x = 1; y = 1; z = 1 \Rightarrow xyz$$

Answer:

$$xy'z' + xyz' + xyz$$

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