Question

) (xy +yz + xz) x (x + y + z)​

Answer 1

Step-by-step explanation:

starting with

xy +yz +x’z

Using 1 = 1 + a

xy + yz + x’z = xy(1 + z) +yz + x’z(1 +y)

expand it out

xy + xyz + yz + x’z + x’zy = xy + yz( x + x’) + yz + x’z

and since (x + x’) =1

= xy + yz(x + x’) + yz + x’z

the yz terms is extra and can be eliminated

= xy + yz(x + x’) + x’z

and since yz(x + x’) come from xy and x’z

= xy + x’z

it might be easier to draw a K map

x y and z

………..0 …. 1

0 0……..……A

01……...…….A.b

11……C…….C,b

1 0…………………

A = x’z

b = yz

C = xy

The b term is extraneous