Answer:
Step-by-step explanation:
R = (AB)'. S = (AR)' = (A . (AB)')'
T = (B . (AB)' )' P = (ST)'
P = ( (A . (AB)')' . (B. (AB)')' )'
Let us simplify the formula for P.
P = (A . (AB)') + (B . (AB)' )
= (A . (A'+B') ) + (B . (A' + B') )
= A A' + A B' + B A' + B B'
= A B' + B A'
= A XOR B.
Truth table
A B R S T P
1 1 0 1 1 0
0 0 1 1 1 0
1 0 1 0 1 1
0 1 0 1 0 1