Consider the following logic circuit:

What is the output of Gate $3?($Use the Boolean rules on p$.47$ of the TUT$102$ to simplify$).$

a$.(z^{\text{'}}+y)*(x^{\text{'}}+z)$

b$.(z^{\text{'}}+y)+(x^{\text{'}}+z)$

c$.(z^{\text{'}}*y)*(x^{\text{'}}*z)$

d$.(z^{\text{'}}+y^{\text{'}})+(x^{\text{'}}+z)$

Clear my choice