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Computer Organization and Architecture, Unit 2: Boolean Logic and Digital Circuits

Computer Organization and Architecture, unit: Boolean Logic and Digital Circuits. Core concepts, terminology, and worked-example cues a college student meets for this unit, building on prior units without repeating them. Front: a term, concept, or short problem cue. Back: the definition, explanation, or answer.

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What is Boolean logic?
A system of logic using true/false values and operations like AND, OR, and NOT
What is a logic gate?
A basic digital circuit that performs a single Boolean operation on input signals
What does an AND gate output?
True only if all of its inputs are true
What does an OR gate output?
True if at least one of its inputs is true
What does a NOT gate output?
The inverse of its single input
What does a NAND gate output?
The inverse of an AND operation; false only if all inputs are true
What does a NOR gate output?
The inverse of an OR operation; true only if all inputs are false
What does an XOR gate output?
True if exactly one of its two inputs is true, but not both
Why is the NAND gate considered functionally complete?
Any Boolean function can be constructed using only NAND gates
What is a truth table used for in digital logic?
Showing every possible input combination and the corresponding output of a circuit
What is a combinational circuit?
A circuit whose output depends only on its current inputs, with no memory of past states
What is a sequential circuit?
A circuit whose output depends on both current inputs and its previous state
What is a half adder?
A circuit that adds two single bits and produces a sum and a carry output
What is a full adder?
A circuit that adds two bits plus a carry-in, producing a sum and carry-out
What is a multiplexer?
A circuit that selects one of several input signals to pass through, based on a control signal

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