Boolean Expressions, Logic Gates, and Hardware Foundations

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Vocabulary flashcards covering Boolean expressions, logic gates, transistor implementation, and historical origins.

Last updated 1:03 AM on 10/14/26
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10 Terms

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Inclusive OR

A logical operation where both inputs being true still evaluates to true.

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De Morgan's Laws

Rules used to recognize two conditions that look different but behave identically; when moving the NOT onto each term, the operator must be flipped (AND becomes OR, and OR becomes AND).

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Double negative (Boolean logic)

The simplification rule stating that NOT(NOT(b))\text{NOT}(\text{NOT}(b)) is just bb.

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Small circle (logic gate symbol)

A symbol feature on a logic gate that designates an invert operation.

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Switches in series

A circuit arrangement that acts as a logical AND operation.

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Switches in parallel

A circuit arrangement that acts as a logical OR operation.

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Transistor

A switching device operated by electricity rather than by a finger, making computers possible.

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Cutoff and saturation

The two operational regions of a transistor used by a computer to represent binary values.

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George Boole

The mathematician who invented Boolean algebra in 1854 with no computers in mind.

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Claude Shannon

The researcher who, in 1937, noticed that a relay is open or closed just as a statement is false or true, allowing circuits to be designed with algebra instead of guesswork.