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A full adder circuit has three binary digit inputs (two input bits and one carry input bit) and two binary digit outputs, Sum bit and carry output bit.
The Sum output bit of a full adder is given by:
S = A ⊕ B ⊕ C
The carry output bit of a full adder is given by:
X1 = AB + BC + AC
In full adder, there area)Two binary number inputs and two outputsb)Th...
Full Adder:
A full adder is a combinational logic circuit that adds three binary digits and produces a sum and a carry output. It is an essential component in arithmetic circuits, such as arithmetic logic units (ALUs) and microprocessors.
Inputs and Outputs:
A full adder has three inputs - two binary numbers (A and B) to be added and a carry-in (Cin) from the previous stage. It has two outputs - a sum (S) and a carry-out (Cout). The sum output represents the least significant bit (LSB) of the addition result, while the carry-out represents the most significant bit (MSB) or the carry-over.
Binary Digit Inputs:
The question states that a full adder has three binary digit inputs. This means that each input can take on one of two values - 0 or 1. The two binary numbers (A and B) represent the bits to be added, and the carry-in (Cin) represents the carry-over from the previous stage.
Binary Digit Outputs:
The full adder has two binary digit outputs. The sum output (S) represents the bit that results from adding the two input bits and the carry-in. The carry-out (Cout) represents the bit that is carried over to the next stage of the addition.
Explanation of Option B:
Option B states that a full adder has three binary digit inputs and two binary digit outputs, which aligns with the definition and operation of a full adder. The three inputs (A, B, and Cin) are binary digits, and the two outputs (S and Cout) are also binary digits.
Other Options:
Option A states that a full adder has two binary number inputs and two outputs, which is incorrect. A full adder requires three inputs - two binary digits and a carry-in. Option C states that a full adder has three binary digit inputs and three binary digit outputs, which is also incorrect. A full adder has two outputs - a sum and a carry-out. Option D mentions NAND and OR gates, which are components used to implement the logic of a full adder, but it does not accurately describe the inputs and outputs of a full adder.
Therefore, the correct answer is option B - a full adder has three binary digit inputs and two binary digit outputs.