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- minterm, maxterm
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*And* is a logical conjunction | ||
*And* is a logical conjunction. Its output is true when both inputs are true. | ||
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An *AND* of two or more [[literal]] is called a [[product]]. |
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*Or* is a logical disjunction. Its output is true when either input is true. | ||
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An *OR* of two or more [[literal]] is called a [[sum]]. |
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A *function* relates an input and an output. [^1] | ||
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[^1]: https://www.mathsisfun.com/sets/function.html |
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*See:* [[minterm]] | ||
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A *maxterm* is a sum of all [[literal]] values in a function. | ||
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If the literal is 1, it will be the complementary form of the variable ($\neg A$) | ||
If the literal is $0$, it will be the positive form of the literal ($A$) | ||
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For example, for the function $f$ with inputs $A$, $B$, and $C$: | ||
- Is a maxterm: $A+\neg B+\neg C$ | ||
- Is not a maxterm: $A+B$ | ||
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To find the POS: | ||
- Select the rows that are false and [[and]] the corresponding *maxterms* |
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*See:* [[maxterm]] | ||
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A *minterm* is a [[product]] of all [[literal]] values in a function. | ||
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If the literal is $1$, it will be the positive form of the literal ($A$) | ||
If the literal is $0$, it will be the complementary form of the literal ($\neg A$) | ||
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For example, for the function $f$ with inputs $A$, $B$, and $C$: | ||
- Is a maxterm: $\neg ABC$ | ||
- Is not a maxterm: $A\neg B$ | ||
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To find the SOP: | ||
- Select the rows of output that are True and [[or]] the corresponding *minterms* |
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A *product* is the result of a multiplication expression. |
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A *sum* is the result of an addition expression. |
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A *k-map*, or Karnaugh-map, is a way to simplify [[boolean]] expressions when you have more than two variables. [^1] | ||
A *k-map*, or Karnaugh Map, is a way to simplify [[boolean]] expressions when you have more than two variables. [^1] | ||
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[^1]: https://study.com/academy/lesson/what-is-a-karnaugh-map-definition-examples.html |
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A *literal* is a notation for representing a fixed value in code. [^1] | ||
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[^1]: https://thabo-ambrose.medium.com/what-is-a-literal-in-computer-programming-560eace90b5b |