1 Need help on following question with step The Boolean func

(1) Need help on following question with step.

The Boolean function F(x, y, z) = xy\'z + (x + z\' + xz\')\' simplifies.

(2)

Analyze the following sequential circuit by producing it\'s truth table:

(3)

The logic circuit shown in the diagram directly implements which of the Boolean expressions given below? Please show work.

y\' + (xy\')

y\'(x+y)

x\'((xy)\'x\')\'

((x+y)y’)’

Solution

Answer:

The Boolean function F(x, y, z) = xy\'z + (x + z\' + xz\')\' simplifies.

Given that : F(x, y, z) = xy\'z + (x + z\' + xz\')\'

= x.y\'.z + x\' .z .(xz\')\'

= x.y\'.z + x\' .z .(x\'+z)

F(x, y, z) =  x.y\'.z + x\' .z

For 2nd & 3rd the images are not visible.