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AND gate EXOR gate combination is ____
- a)both full and half adder.
- b)full adder
- c)half adder
- d)flip flop
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
AND gate EXOR gate combination is ____a)both full and half adder.b)ful...
A half adder circuit is basically made up of and a AND gate with an XOR gate as shown below.
- A half adder is also known as XOR gate because XOR is applied to both inputs to produce the sum
- Half adder can add only two bits (A and B) and has nothing to do with the carry
- If the input to a half adder has a carry, then it will neglect it and adds only the A and B bits
- That means the binary addition process is not complete and that's why it is called a half adder
Sum (S) = A⊕B, Carry = A.B
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AND gate EXOR gate combination is ____a)both full and half adder.b)ful...
Understanding the Combination of AND and EXOR Gates
In digital electronics, the combination of AND and EXOR (XOR) gates plays a significant role in constructing various circuits. Specifically, this combination is utilized in the design of a half adder.
Half Adder Overview
- A half adder is a basic digital circuit that performs the addition of two single-bit binary numbers.
- It produces two outputs: the Sum and the Carry.
Functionality of AND and EXOR Gates
- The EXOR Gate outputs true (1) when exactly one of its inputs is true (1).
- The AND Gate outputs true (1) only when both of its inputs are true (1).
Combination in Half Adder
- In a half adder, the Sum output is generated using an EXOR gate:
- Sum = A XOR B
- The Carry output is generated using an AND gate:
- Carry = A AND B
Conclusion
- Therefore, the combination of an AND gate and an EXOR gate effectively implements the functionality of a half adder.
- This makes option "C" the correct answer, as the given gates serve the purpose of a half adder in digital circuits.
Understanding these fundamental concepts is essential for GATE preparation and digital design. The half adder is a foundational element that leads to more complex circuits like full adders and arithmetic logic units (ALUs).
In digital electronics, the combination of AND and EXOR (XOR) gates plays a significant role in constructing various circuits. Specifically, this combination is utilized in the design of a half adder.
Half Adder Overview
- A half adder is a basic digital circuit that performs the addition of two single-bit binary numbers.
- It produces two outputs: the Sum and the Carry.
Functionality of AND and EXOR Gates
- The EXOR Gate outputs true (1) when exactly one of its inputs is true (1).
- The AND Gate outputs true (1) only when both of its inputs are true (1).
Combination in Half Adder
- In a half adder, the Sum output is generated using an EXOR gate:
- Sum = A XOR B
- The Carry output is generated using an AND gate:
- Carry = A AND B
Conclusion
- Therefore, the combination of an AND gate and an EXOR gate effectively implements the functionality of a half adder.
- This makes option "C" the correct answer, as the given gates serve the purpose of a half adder in digital circuits.
Understanding these fundamental concepts is essential for GATE preparation and digital design. The half adder is a foundational element that leads to more complex circuits like full adders and arithmetic logic units (ALUs).
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