Subtraction is an important part of mathematics and it plays a critical role in the development of technology. Full subtractors are digital circuits designed to perform subtraction. These circuits are usually constructed using logic gates such as NOR gates.
Nor gates are two-input logic gates with outputs that are complementary to each other. If one of the inputs is high, then the output of the other is low and vice versa. In a full subtractor circuit using Nor gates, two inputs called minuend and subtrahend are applied. The output is an answer bit and a borrow bit. The answer bit is the result of the subtraction and the borrow bit is used to determine if a borrowing has taken place from lower order bits.
By using Nor gates, full subtractors can be constructed in a relatively simple manner. Each Nor gate in the circuit has two inputs and two outputs (in addition to power inputs). The Minuend and Subtrahend inputs are connected to two of the Nor gate inputs, and the two outputs are fed to subsequent Nor gates. Depending on the values of the two inputs, the output of these Nor gates will produce either an answer bit or a borrow bit. This type of circuit can efficiently produce the results of digital subtraction at the cost of some additional complexity.
Overall, full subtractors are an essential tool for performing digital subtraction. By employing Nor gates in the circuit diagram, these operations can be efficiently performed. Additionally, these types of circuits can use far fewer components than more standard methods, providing an efficient way to carry out digital subtraction.
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