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2.4 Boolean Logic
2.4.1 Boolean Logic
Understanding the use of logic gates
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Cards (41)
The OR gate outputs TRUE if any input is TRUE.
True
The
NAND
gate inverts the output of an AND gate.
True
What are logic gates used to perform in digital circuits?
Logical computations
What input condition makes the XOR gate output TRUE?
Exactly one input is TRUE
Order the steps in determining the output of a logic gate.
1️⃣ Identify the logic gate type
2️⃣ Determine the inputs
3️⃣ Apply the logical operation
4️⃣ Find the output
A NOT gate outputs TRUE if the input is
FALSE
.
True
Match the logic gate with its operation:
AND ↔️ Outputs TRUE if all inputs are TRUE
OR ↔️ Outputs TRUE if any input is TRUE
NOT ↔️ Inverts the input
XOR ↔️ Outputs TRUE if exactly one input is TRUE
Match the logic gate with its function:
XOR ↔️ Outputs TRUE if exactly one input is TRUE
NAND ↔️ Outputs FALSE only if all inputs are TRUE
NOR ↔️ Outputs TRUE only if all inputs are FALSE
A NOT gate always outputs the opposite of its
input
.
True
A NOT gate outputs TRUE if the input is FALSE.
True
What are the two components for each logic gate described in the study material?
Symbol and truth table
What is the purpose of logic gates in digital circuits?
Perform logical operations
What is the output of a NOT gate if the input is TRUE?
FALSE
Which logic gate outputs TRUE only if all inputs are FALSE?
NOR
The OR gate outputs FALSE only if all
inputs
are FALSE.
True
The NAND gate outputs TRUE only if all inputs are TRUE.
False
Digital circuits use logic gates to perform logical
operations
An XOR gate outputs TRUE if exactly one input is
TRUE
Arrange the steps in describing the function of a logic gate:
1️⃣ Identify the gate type
2️⃣ Determine its logical operation
3️⃣ Explain its output based on input conditions
Arrange the steps to interpret a truth table for a logic gate:
1️⃣ Identify the input and output columns
2️⃣ Examine the possible input combinations
3️⃣ Determine the corresponding output for each combination
An AND gate outputs TRUE only if all inputs are
TRUE
An XOR gate outputs TRUE if exactly one input is
TRUE
The NAND gate outputs FALSE only if both inputs are
TRUE
What is the output of an AND gate when one input is TRUE and the other is FALSE?
FALSE
Logic gates are combined to create more complex
digital circuits
.
True
The AND gate outputs TRUE only if all inputs are
TRUE
The XOR gate outputs TRUE if exactly one input is
TRUE
Match the logic gate with its operation:
AND ↔️ Outputs TRUE if all inputs are TRUE
OR ↔️ Outputs TRUE if any input is TRUE
NOT ↔️ Inverts the input
XOR ↔️ Outputs TRUE if exactly one input is TRUE
NAND ↔️ Inverts the AND output
NOR ↔️ Inverts the OR output
The NOT gate outputs TRUE only if the input is
FALSE
The NOR gate outputs TRUE only if all inputs are
FALSE
Under what condition does an AND gate output TRUE?
All inputs are TRUE
What type of gate inverts the OR output?
NOR
An OR gate outputs TRUE if any input is
TRUE
In the truth table of an AND gate, the output is FALSE if at least one input is
FALSE
What is the output of a NOT gate if the input is TRUE?
FALSE
A NOT gate inverts a TRUE input to
FALSE
.
True
Match the logic gate type with its function:
AND ↔️ Outputs TRUE if all inputs are TRUE
OR ↔️ Outputs TRUE if any input is TRUE
NOT ↔️ Inverts the input
XOR ↔️ Outputs TRUE if exactly one input is TRUE
The OR gate outputs TRUE if at least one of its inputs is
TRUE
Arrange the following logic gates in order of decreasing output TRUE states when all possible input combinations are considered:
1️⃣ OR
2️⃣ XOR
3️⃣ AND
The NOR gate outputs TRUE only if all inputs are FALSE.
True
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