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What is Boolean Algebra ?Boolean Algebra DefinitionBoolean algebra is a branch of mathematics focused on variables valued either 1 or 0, used primarily in digital circuit design.Core OperationsIt revolves around three fundamental operations—AND, OR, and NOT—to handle logical operations in binary systems.Theorems and LawsBoolean algebra includes critical theorems like De Morgan’s, which simplify the conversion between ANDs to ORs and vice versa, using complementation.Cumulative Law for Boolean Al

C650 General lathe relay contactor control circuit diagram

What is an XNOR Gate?XNOR Gate definitionAn XOR gate is formed by adding a non-gate to the output end of the XOR gate, which is the basic unit of the digital logic circuit, with two input terminals and one output terminal.Symbol and truth tableThe symbol of an XOR gate reflects the relationship between its input signal and its output signal, and the truth table confirms its consistent input-outputrelationship.Circuit diagramXNOR Gate circuit diagram as shown below

What is a XOR Gate?XOR Gate DefinitionAn XOR gate outputs true only when the inputs are different; it is essential in digital logic for comparing signals.Truth Table OverviewThe XOR gate truth table show how these gates respond to different combinations of inputs, crucial for designing digital systems.Symbols and DiagramsThe symbols for XOR help in quickly identifying these components in circuit diagrams, aiding in visual learning.Applications in ComputingXOR gates are fundamental in computer en

What is a NOR Gate?NOR gate definitionA basic element in a digital logic circuit that implements logic or non-function.Symbol and truth tableThe symbol of a NOR gate reflects the relationship between its input signal and its output signal, and the truth table confirms its consistent input-output relationship.Circuit diagramNOR Gate circuit diagram as shown below

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What is a NAND Gate ?NAND Gate definitionIn combination with gate and not gate, the and operation is performed first, and then the non-operation is performed. And not gate is when 1 or more of the input terminal is low level, the output is high level; The output is low only if all inputs are high.Symbol and truth tableThe symbol of the NAND gate reflects the relationship between its input signal and its output signal, and the truth table confirms its consistent input-output relationship.Circuit

What is a NOT Gate?NOT Gate DefinitionA NOT gate, also known as an inverter, is a basic digital logic gate that produces an output which is the opposite of its input.Symbol and Truth TableThe symbol for a NOT gate reflects its function of inverting the input signal, with a truth table confirming its consistent output inversion.Circuit DiagramA simple bipolar transistor setup demonstrates the NOT gate’s working principle, where it inverts the input signal.Working PrincipleThe NOT gate operates by

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What is an OR Gate?OR Gate DefinitionAn OR gate is defined as a logic gate that outputs high (1) if one or both inputs are high (1).Working PrincipleThe working principle of an OR gate is to find the maximum between binary digits, resulting in a high output if any input is high.Truth TableThe truth table of an OR gate lists the output for all possible input combinations, showing how the gate responds.Diode CircuitA diode can be used to create an OR gate, where any high input makes the output hig