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=== Overview === Logic circuits form the foundational building blocks of virtually all modern [https://en.wiktionary.org/wiki/digital digital] systems, including [https://en.wiktionary.org/wiki/microprocessor microprocessors], [https://en.wiktionary.org/wiki/memory memory units], [https://en.wiktionary.org/wiki/arithmetic arithmetic] [https://en.wiktionary.org/wiki/logic logic] units (ALUs), and [https://en.wiktionary.org/wiki/programmable programmable] controllers. Unlike [https://en.wiktionary.org/wiki/analog analog] [https://en.wiktionary.org/wiki/circuit circuits], which process continuously varying [https://en.wiktionary.org/wiki/signal signals], logic circuits operate on discrete [https://en.wiktionary.org/wiki/binary binary] states, conventionally represented as '''0''' (low/false) and '''1''' (high/true). The behavior of any logic circuit, regardless of complexity, can be fully described and predicted using the equations of [https://en.wiktionary.org/wiki/Boolean_algebra Boolean algebra], first formalized by mathematician [https://en.wikipedia.org/wiki/George_Boole George Boole] in the mid-nineteenth century and later adapted for [https://en.wiktionary.org/wiki/electrical electrical] [https://en.wiktionary.org/wiki/engineering engineering] by [https://en.wikipedia.org/wiki/Claude_Shannon Claude Shannon] in his landmark 1937 thesis.
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