Question 94

Computer Awareness Microprocessor and Microcontroller Easy

How many full adder and half adder are required to add 16-bit numbers?

(A) 8 half adders, 8 full adders
(B) 1 half adder, 15 full adders
(C) 16 half adders, no full adder
(D) 4 half adders, 12 full adders
View Dynamic Solution & Explanation
Correct Solution: Option B

Step-by-step Solution:

To perform 16-bit binary addition, we need to sum 16 bits in a ripple-carry adder configuration. A half adder can only handle the addition of the least significant bit, while full adders handle the remaining bits. \[\] A half adder adds two bits but cannot handle a carry from previous bits. It is used only at the least significant bit position. \[\] - Full adders can handle a sum and a carry from a previous bit position.\[\] 1. The least significant bit requires one half adder. \[\] 2. The remaining 15 bits each require a full adder.\[\] Hence: \[\] - 1 half adder is required for the least significant bit.

\ \[\] 15 full adders are used for the remaining bits.\[\] \[\] Correct Option: (b)