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The logic circuit of binary adder which is used to add 4-bits binary numbers, requires _________ half adder (s) and ________ full adder(s).
- a)1,3
- b)3,1
- c)2,2
- d)4,0
Correct answer is option 'A'. Can you explain this answer?
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The logic circuit of binary adder which is used to add 4-bits binary n...
Logic Circuit of Binary Adder for 4-bit Binary Numbers
The logic circuit of a binary adder is used to add two binary numbers. For adding two 4-bit binary numbers, we need a logic circuit that can perform the addition operation on each bit of the two numbers. The logic circuit of the binary adder for 4-bit binary numbers includes half adder and full adder.
Half Adder
A half adder is a combinational logic circuit that performs the addition of two bits. It has two inputs, A and B, and two outputs, Sum and Carry. The Sum output is the result of adding two bits, and the Carry output is the carry generated during addition. For adding two 4-bit binary numbers, we need four half adders.
Full Adder
A full adder is a combinational logic circuit that performs the addition of three bits. It has three inputs, A, B, and Carry-in, and two outputs, Sum and Carry-out. The Sum output is the result of adding three bits, and the Carry-out output is the carry generated during addition. For adding two 4-bit binary numbers, we need three full adders.
Calculation of Half Adder and Full Adders
For adding two 4-bit binary numbers, we need four half adders to add the first three bits of the two numbers, and three full adders to add the last bit and the carries generated during the addition of the first three bits. Therefore, the logic circuit of binary adder for 4-bit binary numbers requires 1 half adder and 3 full adders.
Conclusion
In conclusion, the logic circuit of binary adder for adding two 4-bit binary numbers requires 1 half adder and 3 full adders. The half adder is used to add the first three bits of the two numbers, and the full adder is used to add the last bit and the carries generated during the addition of the first three bits.
The logic circuit of a binary adder is used to add two binary numbers. For adding two 4-bit binary numbers, we need a logic circuit that can perform the addition operation on each bit of the two numbers. The logic circuit of the binary adder for 4-bit binary numbers includes half adder and full adder.
Half Adder
A half adder is a combinational logic circuit that performs the addition of two bits. It has two inputs, A and B, and two outputs, Sum and Carry. The Sum output is the result of adding two bits, and the Carry output is the carry generated during addition. For adding two 4-bit binary numbers, we need four half adders.
Full Adder
A full adder is a combinational logic circuit that performs the addition of three bits. It has three inputs, A, B, and Carry-in, and two outputs, Sum and Carry-out. The Sum output is the result of adding three bits, and the Carry-out output is the carry generated during addition. For adding two 4-bit binary numbers, we need three full adders.
Calculation of Half Adder and Full Adders
For adding two 4-bit binary numbers, we need four half adders to add the first three bits of the two numbers, and three full adders to add the last bit and the carries generated during the addition of the first three bits. Therefore, the logic circuit of binary adder for 4-bit binary numbers requires 1 half adder and 3 full adders.
Conclusion
In conclusion, the logic circuit of binary adder for adding two 4-bit binary numbers requires 1 half adder and 3 full adders. The half adder is used to add the first three bits of the two numbers, and the full adder is used to add the last bit and the carries generated during the addition of the first three bits.
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The logic circuit of binary adder which is used to add 4-bits binary n...
Half adder: it is a logic circuit that performs addition on two binary digits. It produces a sum and carry.
Full adder: It is a logic circuit that takes three inputs to perform addition. Two binary input and one carry-in input of the previous stage is used. It generates sum and carry (C-out). C-in is a carry from a less significant digit and c-out is a carry from the most significant bit.
If we want to add two n- bit binary adders then it requires 1 half adder and n-1 full adder to complete the circuit. So, in the given question to add 4- bit binary numbers requires 1 half adder and 3 full adders.
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The logic circuit of binary adder which is used to add 4-bits binary numbers, requires _________ half adder (s) and ________ full adder(s).a)1,3b)3,1c)2,2d)4,0Correct answer is option 'A'. Can you explain this answer?
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