Which gate must be interposed between the cascaded stages of a parallel binary adder/ half adder comprising full adders for transmission purpose of carry to the next stage

To determine the gate that must be interposed between the cascaded stages of a parallel binary adder/half adder comprising full adders for the transmission purpose of carry to the next stage, we need to understand the operation of a full adder.

A full adder is a combinational circuit that adds three input bits: A, B, and carry-in (Cin), and produces two outputs: sum (S) and carry-out (Cout). The sum output represents the result of the addition of the three input bits, while the carry-out represents the carry generated during the addition.

In a parallel binary adder, multiple full adders are cascaded together to perform addition of multiple bits simultaneously. The carry generated in each stage needs to be transmitted to the next stage for the correct addition operation.

To achieve this, the gate that must be interposed between the cascaded stages is the OR gate. The OR gate takes the carry-out (Cout) from the previous stage and the carry-in (Cin) from the current stage as inputs and produces the carry-in (Cin) for the next stage.

By using an OR gate, the carry generated in each stage is propagated to the next stage, ensuring the correct addition operation in the parallel binary adder.

Therefore, the gate that must be interposed between the cascaded stages of a parallel binary adder/half adder comprising full adders for the transmission purpose of carry to the next stage is the OR gate.