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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 ( ↮ {\displaystyle \nleftrightarrow } ) from mathematical logic ; that is, a true output results if one, and only one, of the inputs to the ...
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). ...
With two inputs, XOR is true if and only if the inputs differ (one is true, one is false). With multiple inputs, XOR is true if and only if the number of true inputs is odd. [1] It gains the name "exclusive or" because the meaning of "or" is ambiguous when both operands are true. XOR excludes that case. Some informal ways of describing XOR are ...
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 ...
[2] The truth table for the half adder is: ... the inputs to the final OR gate can never be both 1's (this is the only combination for which the OR and XOR outputs ...
The two-input version implements logical equality, behaving according to the truth table to the right, and hence the gate is sometimes called an "equivalence gate". A high output (1) results if both of the inputs to the gate are the same. If one but not both inputs are high (1), a low output (0) results.
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: = () ¯.
The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics. Additionally, the subsequent columns contains an informal explanation, a short example, the Unicode location, the name for use in HTML documents, [ 1 ] and the LaTeX symbol.