Abstract
Abstract: A full subtractor is a digital combinational circuit that performs subtraction involving three bits, namely A (minuend), B (subtrahend), and Bin (borrow-in) . It accepts three inputs: A (minuend), B (subtrahend) and a Bin (borrow bit) and it produces two outputs: D (difference) and Bout (borrow out). Unlike a half adder, which adds only two binary digits and produces a sum and carry, a full adder considers an additional carry input from a previous less significant bit addition. The full adder's design includes three inputs: A, B, and Cin (carry-in), and two outputs: Sum (sum) and Cout (carry-out). The sum output Sum is derived by XOR-ing the three inputs, while the carry-out Cout is obtained by considering the majority function of the inputs. This means Cout is set when any two or more of the three inputs are high (logical 1). Full subtractors are fundamental components in the construction of arithmetic logic units (ALUs), binary adders, and other computational circuits in digital systems, enabling the handling of multi-bit binary addition by cascading multiple full adders.
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