35.9k views
4 votes
Draw the logic diagram of a 5-bit parallel binary adder using a combination of half adders and full adders.

User KitsuneFox
by
8.3k points

1 Answer

3 votes

Final Answer:

The logic diagram of a 5-bit parallel binary adder involves the integration of four full adders and one half adder.

Step-by-step explanation:

A 5-bit parallel binary adder requires four full adders and one half adder to perform addition on five pairs of bits simultaneously. Each full adder incorporates three inputs: two bits to be added (A and B) and a carry-in (Cin) from the previous stage. The outputs from each full adder consist of the sum (S) and a carry-out (Cout) to the next stage. The first stage uses a half adder to add the least significant bits (LSBs) without considering any carry-in. The subsequent four stages employ full adders to handle the remaining bits, with the carry-out from each full adder feeding into the carry-in of the next stage.

The logic diagram showcases a modular approach, where full adders are cascaded to accommodate multi-bit addition. Each full adder computes the sum of three inputs (two bits and a carry) and generates a sum output along with a carry output for the next stage. This arrangement allows for efficient computation of the 5-bit binary addition by breaking down the task into manageable segments handled by individual adder modules.

Draw the logic diagram of a 5-bit parallel binary adder using a combination of half-example-1
User Primroot
by
7.6k points