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Questions and Answers
What is the correct Boolean expression for a circuit with an AND gate whose inputs are A and the inverse of B?
What is the correct Boolean expression for a circuit with an AND gate whose inputs are A and the inverse of B?
- $A \cdot \overline{B}$ (correct)
- $\overline{A} \cdot B$
- $\overline{A + B}$
- $A + \overline{B}$
Given a circuit that contains an inverter followed by an OR gate, what is the output expression if the input to the inverter is 'A' and the other input to the OR gate is 'B'?
Given a circuit that contains an inverter followed by an OR gate, what is the output expression if the input to the inverter is 'A' and the other input to the OR gate is 'B'?
- $\overline{A + B}$
- $\overline{A} + B$ (correct)
- $\overline{A} \cdot B$
- $A + \overline{B}$
What Boolean expression represents a NOR gate with inputs A and B, where the output is X?
What Boolean expression represents a NOR gate with inputs A and B, where the output is X?
- $X = \overline{A \cdot B}$
- $X = A \cdot B$
- $X = \overline{A + B}$ (correct)
- $X = A + B$
Which Boolean expression accurately describes a NAND gate with inputs P and Q?
Which Boolean expression accurately describes a NAND gate with inputs P and Q?
What is the equivalent Boolean expression for an XOR gate with inputs A and B?
What is the equivalent Boolean expression for an XOR gate with inputs A and B?
How does an OR gate behave when one input is high (1) and the other is low (0)?
How does an OR gate behave when one input is high (1) and the other is low (0)?
If input A is '1' and input B is '0', what will be the output of a two-input NAND gate?
If input A is '1' and input B is '0', what will be the output of a two-input NAND gate?
How does an inverter modify a digital signal?
How does an inverter modify a digital signal?
In a Boolean expression, what does the overline symbol (e.g., $\overline{A}$) represent?
In a Boolean expression, what does the overline symbol (e.g., $\overline{A}$) represent?
Consider the Boolean expression $X = (A \cdot B) + (\overline{A} \cdot \overline{B})$. What single gate is functionally equivalent to this expression?
Consider the Boolean expression $X = (A \cdot B) + (\overline{A} \cdot \overline{B})$. What single gate is functionally equivalent to this expression?
What is the output of an XNOR gate when both inputs are high (1)?
What is the output of an XNOR gate when both inputs are high (1)?
What is the Boolean expression for a three-input AND gate with inputs A, B, and C?
What is the Boolean expression for a three-input AND gate with inputs A, B, and C?
If a NOR gate has inputs A = 0 and B = 1, what is the output?
If a NOR gate has inputs A = 0 and B = 1, what is the output?
What single gate is equivalent to an AND gate followed by a NOT gate?
What single gate is equivalent to an AND gate followed by a NOT gate?
Given the expression $X = \overline{\overline{A}}$, what is the simplified equivalent?
Given the expression $X = \overline{\overline{A}}$, what is the simplified equivalent?
In Boolean algebra, what is the result of $A + A$?
In Boolean algebra, what is the result of $A + A$?
What is the simplified form of the Boolean expression $A \cdot (A + B)$?
What is the simplified form of the Boolean expression $A \cdot (A + B)$?
What is the dual of the boolean expression $A + (B \cdot C)$?
What is the dual of the boolean expression $A + (B \cdot C)$?
What is the output of a XOR gate when one input is 1 and the other input is 1?
What is the output of a XOR gate when one input is 1 and the other input is 1?
Simplify: $A + \overline{A}B $
Simplify: $A + \overline{A}B $
Flashcards
What is a NOT gate?
What is a NOT gate?
A NOT gate inverts the input signal. If the input is A, the output is NOT A (or A').
What is a NOR gate?
What is a NOR gate?
A NOR gate is a combination of an OR gate and a NOT gate. It outputs TRUE only when both inputs are FALSE.
What is an AND gate?
What is an AND gate?
An AND gate outputs TRUE only when all inputs are TRUE. Otherwise, it outputs FALSE.
What is the boolean expression for the circuit's output X?
What is the boolean expression for the circuit's output X?
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Study Notes
- The task is to convert the given digital circuit to its corresponding Boolean expression without simplification.
Circuit Analysis and Boolean Expression Derivation
- The circuit has two inputs: A and B.
- Input A is first passed through a NOT gate, resulting in A'.
- A' is then fed into a NOR gate along with the original input A, producing (A')'.
- Input B is passed through a NOT gate, resulting in B'.
- The outputs of the NOR gate (A')' and the NOT gate B' are then fed into an AND gate.
- The final output X is the result of the AND operation: X = ((A')') * (B').
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