As shown in the logic diagram,
Output Y=¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯(A.¯¯¯¯¯¯¯¯¯¯¯A.B)¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯(B.¯¯¯¯¯¯¯¯¯¯¯¯¯A.B).....eq(1)
When A=0,B=0 putting A and B in eq (1)⟹ Y=0
When A=0,B=1 putting A and B in eq (1) ⟹ Y=1
When A=1,B=0 putting A and B in eq (1) ⟹ Y=1
When A=1,B=1 putting A and B in eq (1) ⟹ Y=0
Hence option A is correct.