Which of the following statements about the arithmetic circuit is INCO...
Explanation:
Arithmetic Circuits:
Arithmetic circuits are digital circuits that perform arithmetic operations such as addition and subtraction on binary numbers. They are commonly used in computer systems and other digital devices.
Half-Adder:
A half-adder is an arithmetic circuit that adds two binary digits together. It has two inputs, A and B, and two outputs, the sum (S) and the carry (C). The sum output represents the result of adding A and B, while the carry output represents the carry generated from the addition. Therefore, statement A is correct.
Half-Subtractor:
A half-subtractor is an arithmetic circuit that subtracts one binary digit from another. It has two inputs, A and B, and two outputs, the difference (D) and the borrow (B). The difference output represents the result of subtracting B from A, while the borrow output represents whether a borrow is required from the next higher-order bit. Therefore, statement B is correct.
Full-Subtractor:
A full-subtractor is an arithmetic circuit that subtracts one binary digit from another, considering a borrow from the previous lower-order bit. It has three inputs, A, B, and the borrow-in (Bin), and two outputs, the difference (D) and the borrow-out (Bout). The difference output represents the result of subtracting B from A, taking into account the borrow, while the borrow output represents whether a borrow is required from the next higher-order bit. Therefore, statement C is correct.
Full Adder:
A full adder is an arithmetic circuit that adds two binary digits and a carry input together. It has three inputs, A, B, and the carry-in (Cin), and two outputs, the sum (S) and the carry-out (Cout). The sum output represents the result of adding A, B, and Cin, while the carry output represents the carry generated from the addition. Therefore, statement D is incorrect.
Explanation of Incorrectness:
Statement D is incorrect because a full adder adds three binary digits together (A, B, and Cin), not just one binary digit and a carry. A full adder is used when performing addition on multi-bit numbers, where each bit requires a carry input from the previous bit. Therefore, a full adder has three inputs and two outputs, making statement D incorrect.