Truth table of the given gate:
A0011B0101C0100
Truth table of option (1)
A0011B0101C1101
Truth table of option (2)
A0011B0101C1011
Truth table of option (3)
A0011B0101C1000
Truth table of option (4)
A0011B0101C0100
Since option (1) has same truth table, hence answer is option (4) is correct.
Given Boolean expression can be written as
A+Bˉˉ=C
∴C=Aˉ⋅Bˉ=Aˉ⋅B