Concept:Identify each gate first; the bubble at the output gives the complement of the basic AND/OR gate.
Explanation:The upper gate has inputs
A and
B and behaves as a NAND gate.
For a NAND gate, the output is the complement of
A⋅B, so we get
A⋅B.
The lower gate has inputs
B and
C and behaves as a NOR gate.
For a NOR gate, the output is the complement of
B+C, so we get
B+C.
The two outputs are then connected to the final OR gate.
Therefore, the final output is the logical OR of these two intermediate outputs:
Y=A⋅B+B+CThis exactly matches option C.
Answer:Y=(A⋅B)+(B+C), i.e. option C.