OR Gate (7432): Digital Logic
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Questions and Answers

What is the condition for an OR gate to produce an output of logic 1 state?

If any of its inputs is in logic 1 state

What is the symbol used to represent the OR operation?

'+'

What is the meaning of NOR gate?

NOT OR

What is the unique feature of a NAND gate that makes it a universal gate?

<p>It can perform three basic logic functions such as AND, OR, and NOT</p> Signup and view all the answers

What is the condition for a NAND gate to produce an output of logic 0 level?

<p>When each of the inputs assumes a logic 1 level</p> Signup and view all the answers

What is the application of Boolean Algebra in digital electronic devices?

<p>Binary systems</p> Signup and view all the answers

What is the condition for a NOR gate to produce an output of logic 1 level?

<p>When each of its inputs assumes a logic 0 level</p> Signup and view all the answers

Who applied Boole's ideas to the analysis of digital circuits?

<p>Claude Shannon</p> Signup and view all the answers

How can an X-NOR gate be used as an inverter?

<p>By connecting one of the two input terminals to logic 0 and inputting the sequence to be inverted to the other terminal</p> Signup and view all the answers

Who is the mathematician and philosopher credited with the development of Boolean Algebra?

<p>George Boole</p> Signup and view all the answers

What is the purpose of Boolean Algebra Theorems?

<p>To simplify logic expressions and logic circuits</p> Signup and view all the answers

What property of Boolean Algebra is used in the simplification of the expression X = (A + B) (A + C)?

<p>Distributive and Idempotent properties</p> Signup and view all the answers

Simplify the Boolean expression: F = AB + ABC + AB

<p>F = AB</p> Signup and view all the answers

What type of logic gate is equivalent to the circuit where the output is 1 exclusively when all the inputs are 1?

<p>AND gate</p> Signup and view all the answers

What is the Morgan's equivalent of (x + y)?

<p>(x' * y')'</p> Signup and view all the answers

What is the simplified equation of F = XZ + XY + YZ?

<p>F = XZ + XY</p> Signup and view all the answers

What is the function implemented by the circuit with an output of 1 exclusively when all the inputs are 1?

<p>AND function</p> Signup and view all the answers

What is the purpose of Example Number 1 in the context of combinational logic circuits?

<p>To reduce the circuit using Boolean algebra</p> Signup and view all the answers

What property of Boolean algebra is used to simplify the expression Q = AB + BC (B +C)?

<p>Distributive and Idempotent</p> Signup and view all the answers

What is the final simplified expression for the output Q in Example Number 1?

<p>B (A + C)</p> Signup and view all the answers

What is the purpose of factoring out input B in Example Number 1?

<p>To further reduce the circuit</p> Signup and view all the answers

What is a 'don't-care' term in the context of Boolean algebra?

<p>An input variable that does not affect the output of the circuit</p> Signup and view all the answers

What is the main application of Boolean algebra in combinational logic circuits?

<p>To simplify and reduce circuits</p> Signup and view all the answers

What is the primary difference between a NAND gate and an AND gate?

<p>A NAND gate produces an output of logic 1 when any of the inputs are logic 0, whereas an AND gate produces an output of logic 1 only when all inputs are logic 1.</p> Signup and view all the answers

What is the output of a NOR gate when all inputs are logic 0?

<p>The output of a NOR gate is logic 1 when all inputs are logic 0.</p> Signup and view all the answers

What is the purpose of a universal gate in digital circuits?

<p>A universal gate can be used to create any possible logic function, making it a fundamental component in digital circuits.</p> Signup and view all the answers

How do you represent the NOT operation in Boolean algebra?

<p>The NOT operation is represented by a horizontal bar over the variable, such as ¬A or Ā.</p> Signup and view all the answers

What is the difference between a logical AND and a logical OR operation?

<p>A logical AND operation produces an output of logic 1 only when all inputs are logic 1, whereas a logical OR operation produces an output of logic 1 when any input is logic 1.</p> Signup and view all the answers

What is the output of an OR gate when all inputs are logic 1?

<p>The output of an OR gate is logic 1 when any input is logic 1, including when all inputs are logic 1.</p> Signup and view all the answers

What is the significance of a NAND gate in digital circuit design?

<p>A NAND gate is a universal gate that can be used to create any possible logic function, making it a fundamental component in digital circuit design.</p> Signup and view all the answers

How do you represent the AND operation in Boolean algebra?

<p>The AND operation is represented by a dot (.) or a multiplication symbol (<em>), such as A·B or A</em>B.</p> Signup and view all the answers

What is the output of an AND gate when any input is logic 0?

<p>The output of an AND gate is logic 0 when any input is logic 0.</p> Signup and view all the answers

What is the role of a logic gate in a digital circuit?

<p>A logic gate performs a logical operation on one or more input signals, producing an output signal based on the operation.</p> Signup and view all the answers

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