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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.
Truth table 2-1 OAI Input A B C: ... Implementation of an XOR gate using a 2-2-OAI gate. References This page was last edited on 10 April 2024, at 06:56 (UTC). ...
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A truth table has one column for each input variable (for example, A and B), and one final column showing all of the possible results of the logical operation that the table represents (for example, A XOR B). Each row of the truth table contains one possible configuration of the input variables (for instance, A=true, B=false), and the result of ...
1110 2 XOR 1001 2 = 0111 2 (this is equivalent to addition without carry) As noted above, since exclusive disjunction is identical to addition modulo 2, the bitwise exclusive disjunction of two n -bit strings is identical to the standard vector of addition in the vector space ( Z / 2 Z ) n {\\displaystyle (\\mathbb {Z} /2\\mathbb {Z} )^{n}} .
The (now obsolete) 74S135 implemented four two-input XOR/XNOR gates or two three-input XNOR gates. Both the TTL 74LS implementation, the 74LS266, as well as the CMOS gates (CD4077, 74HC4077 and 74HC266 and so on) are available from most semiconductor manufacturers such as Texas Instruments or NXP , etc. [ 2 ] They are usually available in both ...
Symbol for 2-2 AOI gate. Real world examples of an 2-2 AOI gate are found in the CD4085B, SN74LS51, SN5450 logic ICs (see further below). [3] [4] [6] The 2-2 AOI gate can be represented by the following boolean equation and truth table: = () ¯.
In Boolean algebra, a parity function is a Boolean function whose value is one if and only if the input vector has an odd number of ones. The parity function of two inputs is also known as the XOR function. The parity function is notable for its role in theoretical investigation of circuit complexity of Boolean functions.