17 lines
846 B
Markdown
17 lines
846 B
Markdown
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---
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categories:
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- Logic
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- Computer Architecture
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tags: [logic, propositional-logic, nand-to-tetris]
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---
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# Boolean function synthesis
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When we looked at [boolean functions](/Logic/Propositional_logic/Boolean_functions.md) we were working in a particular direction: from a function to a truth table. When we do Boolean function synthesis we work in the opposite direction: from a function to a truth table.
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This is an important skill that we will use when constructing [logic circuits](/Electronics_and_Hardware/Digital_circuits/Digital_circuits.md). We will go from truth conditions (i.e. what we want the circuit to do and when we want it to do it) to a function expression which is then reduced and implemented with [logic gates](/Electronics_and_Hardware/Digital_circuits/Logic_gates.md).
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## The process
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The process proceeds as follows:
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