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XOR gate (sometimes EOR, or EXOR and pronounced as Exclusive OR) is a digital logic gate that gives a true (1 or HIGH) output when the number of true inputs is odd. An XOR gate implements an exclusive or from mathematical logic; that is, a true output results if one, and only one, of the inputs to the gate is true. If both inputs are false (0 ...
A logic circuit diagram for a 4-bit carry lookahead binary adder design using only the AND, OR, and XOR logic gates.. A logic gate is a device that performs a Boolean function, a logical operation performed on one or more binary inputs that produces a single binary output.
The simplest half-adder design, pictured on the right, incorporates an XOR gate for and an AND gate for . The Boolean logic for the sum (in this case S {\displaystyle S} ) will be A ⊕ B {\displaystyle A\oplus B} whereas for the carry ( C {\displaystyle C} ) will be A ⋅ B {\displaystyle A\cdot B} .
English: An XOR gate made from only NOR gates, using the expression (+) + (¯ + ¯). This construction has a propagation delay 3 times that of a single gate and uses 5 gates. This construction has a propagation delay 3 times that of a single gate and uses 5 gates.
English: Implementation of XOR gate using two pass gates. When B is high the inverted value of A passes through to the output and when B is low then A passes through to the output instead. The circuit uses 12 MOSFETs the 8 in the diagram plus another four to invert A and B
Together with the AND gate and the OR gate, any function in binary mathematics may be implemented. All other logic gates may be made from these three. [3] The terms "programmable inverter" or "controlled inverter" do not refer to this gate; instead, these terms refer to the XOR gate because it can conditionally function like a NOT gate. [1] [3]
The first input to the XOR gate is the actual input bit; The second input for each XOR gate is the control input D; This produces the same truth table for the bit arriving at the adder as the multiplexer solution does since the XOR gate output will be what the input bit is when D = 0 and the inverted input bit when D = 1.
OR-AND-invert gates or OAI-gates are logic gates comprising OR gates followed by a NAND gate. ... Implementation of an XOR gate using a 2-2-OAI gate. References ...