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## Homework Statement

I'm trying to show that the output of this XOR circuit is ##F=A'B+AB'##,

## Homework Equations

##(A+B)'=A'\cdot B'##

##(A\cdot B)'=A'+B'##

## The Attempt at a Solution

From the gates the output is ##[(A\cdot B)+(A+B)']'##, using De Morgan's laws this becomes ##[(A\cdot B)+(A+B)']'=(A\cdot B)'\cdot (A+B)=(A\cdot B)'\cdot (A+B)=(A'+B')\cdot (A+B)=0##? I cant seem to figure out what I'm doing wrong.