Soru
: Construct a truth table for a full adder circuit, again including the sum and carry-out outputs. Write the equation for each output that is minimal in terms of the number of gates required for implementation.
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3.7
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Usta · 5 yıl öğretmeni
Uzman doğrulaması
Cevap
full adder is a digital circuit that performs the addition of three binary digits: the two bits to be added and a carry-in bit. The full adder has three inputs (A, B, and C) and two outputs (Sum and Carry-out). The truth table for a full adder is as follows:| A | B | C | Sum | Carry-out || --- | --- | --- | --- | --- || 0 | 0 | 0 | 0 | 0 || 0 | 0 | 1 | 1 | 0 || 0 | 1 | 0 | 1 | 0 || 0 | 1 | 1 | 0 | 1 || 1 | 0 | 0 | 1 | 0 || 1 | 0 | 1 | 0 | 1 || 1 | 1 | 0 | 0 | 1 || 1 | 1 | 1 | 1 | 0 |The equations for the Sum and Carry-out outputs in terms of the inputs A, B, and C are as follows:Sum = A XOR B XOR CCarry-out = (A AND B) OR (C AND (A XOR B))These equations are minimal in terms of the number of gates required for implementation, as they can be implemented using only XOR, AND, and OR gates.