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Given two half adders, what extra 2-input gate is required to build a full adder?
- a)NOR gate
- b)XOR gate
- c)OR gate
- d)AND gate
Correct answer is option 'C'. Can you explain this answer?
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Given two half adders, what extra 2-input gate is required to build a ...
Half adder:
Full adder:
Full adder:
Full Adder can be implemented using 2 half adders and OR gate as shown below.
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Given two half adders, what extra 2-input gate is required to build a ...
Building a Full Adder using Two Half Adders
To build a full adder using two half adders, we need an additional 2-input gate to combine the outputs of the two half adders. The most suitable gate for this purpose is the OR gate.
Explanation:
- When two half adders are combined to form a full adder, the sum output from the first half adder and the sum output from the second half adder need to be combined to generate the final sum output of the full adder.
- The carry output from the first half adder is connected to the input of the second half adder to account for carry-in from the previous stage.
- The OR gate is used to combine the sum outputs of the two half adders. The OR gate takes the sum outputs as inputs and generates the final sum output of the full adder.
- The OR gate is chosen because it produces a 1 output when either or both of its inputs are 1, which is the behavior required for adding binary numbers.
Therefore, by adding an OR gate to combine the sum outputs of two half adders, we can construct a full adder circuit capable of adding two binary numbers together with carry-in from the previous stage.
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Given two half adders, what extra 2-input gate is required to build a full adder?a)NOR gateb)XOR gatec)OR gated)AND gateCorrect answer is option 'C'. Can you explain this answer?
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