XOR Gate … XOR gates are used in circuits that perform arithmetic operations and calculations, especially in half-adders and adders. The XOR ( exclusive-OR ) gate acts in the same way as the logical "either/or." This is a derived gate which can be constructed using basic gates. Then we have semicolon to end the statement. This solution holds good when number of inputs to the gates are odd. Exclusive-OR gate (XOR Gate) In XOR gate the output of a two-input XOR gate attains the state 1 if one adds only input attains the state 1. That’s why designing an efficient and low power high speedy XOR gate is one of the most exciting research areas in QCA. Equation of the XOR gate. The way it goes is as follows. The boolean equation of an XOR gate is Y = (A ⊕ B). For 3 or more inputs, the XOR gate has a value of 1when there is an odd number of 1’s in the inputs, otherwise, it is a 0. This subtractor circuit executes a subtraction between two bits, which has 3- inputs (A, B, and Bin) and two outputs (D and Bout). As well as a standard Boolean Expression, the input and output information of any Logic Gate or circuit can be plotted into a standard table to give a visual representation of the switching function of the system.. The boolean equation of an XOR gate is Y = (A ⊕ B). The XOR gate (sometimes called as Exclusive OR) is an electronic logic gate, and the output is true if any of only on input true to the gate. However, if we take the other two unused conditions from the truth table that make the XOR operation false, can make the negative equation for XOR, called a NXOR: Notice how each gate “connects” the variables together just like the logic blocks in the code above. Hope it … The XNOR gate (sometimes ENOR, EXNOR or NXOR and pronounced as Exclusive NOR) is a digital logic gate whose function is the logical complement of the Exclusive OR gate. XOR or EXOR or Exclusive-OR is a special type of gate or circuit which will give high output if even or zero number of inputs are high or else it will give low output. XOR of text is calculated by first converting each character into it's equivalent ASCII character code. EDIT. So according to the solution the outputs of the 3 input XOR and XNOR gates are same. What you have written is the expansion of xor gate. To be an universal gate, a gate needs to satisfy both the following conditions: You should be able to create an inverter using the gate. Right now I am lost as to how to proceed given that the NOR function is A'B' and XOR is AB' + A'B. From the simplified expression, we can say that the XOR gate consists of an OR gate (x1 + x2), a NAND gate (-x1-x2+1) and an AND gate (x1+x2–1.5). The Boolean Equation of XOR Gate (EX-OR Gate) is . xor gate, now I need to construct this gate using only 4 nand gate. XNOR gate also known as Exclusive-NOR or Exclusive-Negative OR gate is “A logic gate which produces High state “1” only when there is an even number of High state “1” inputs”. The output is "true" if either, but not both, of the inputs are "true." Exclusive-OR (XOR) gate has a wide range of applications in digital logic circuits such as arithmetic and logical unit, parity checking and detection circuit, reversible logic circuit, code converter and so on. Another way of looking at this circuit is to observe that the output is 1 … Sound interesting, isn't it? i.e., the output is HIGH (1) if the inputs are not alike otherwise the output is LOW (0). Although not a basic logic gate in its own right, its usefulness and versatility has turned it into a standard logical function complete with its own Boolean expression, operator and symbol. The Boolean expression of the XOR gate is A B ˉ + A B ˉ o r Y = A ⨁ B \bar{AB} + \bar{AB}\, or\, Y = A \bigoplus B A B ˉ + A B ˉ o r Y = A ⨁ B. 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