Question
Download Solution PDFThe number of full and half-adders required to add 16-bit numbers is :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is 1 half-adder, 15 full-adders.
Key Points
- A 16-bit binary adder requires 1 half-adder and 15 full-adders.
- A half-adder is used to add the least significant bit (LSB), which does not require a carry-in bit.
- Full-adders are used for the remaining bits, which must account for both the carry-in and carry-out bits.
- The structure ensures efficient addition of binary numbers with proper handling of carry bits.
Additional Information
- Full-adders can add three bits together: two significant bits and one carry bit from the previous stage.
- Half-adders can add two bits together but cannot handle carry-in bits.
- In a 16-bit addition, the first stage uses a half-adder, and the subsequent 15 stages use full-adders.
- This configuration minimizes the number of adders required while ensuring correct binary addition.
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