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In true sum-of-products expressions, can an inversion bar cover more than a single variable in a term?

1) Yes
2) No

User JGC
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1 Answer

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Final answer:

Yes, an inversion bar can cover more than a single variable in a sum-of-products expression, as it denotes logical negation and can span a group of variables or an entire product term.

Step-by-step explanation:

The question asks whether an inversion bar in a sum-of-products (SOP) expression can cover more than a single variable in a term. The answer is yes. In Boolean algebra, the inversion bar, also known as a bar or overline, represents the NOT operation, and it can cover a single variable, a group of variables, or an entire product term to indicate logical negation.

For example, in the expression ¬(AB) + C, the inversion bar covers the entire product of variables A and B, indicating the logical negation of the product term AB. This shows that an inversion bar can indeed span more than one variable or element within an SOP expression.

User Chenosaurus
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