13.4.1 Understanding logic gates

• Logic gates perform Boolean logic operations on digital inputs to produce a single digital output
• The OR gate produces an output of 1 if any input is 1
• Match the logic gate with its behavior:

  AND ↔️ Output is 1 only if all inputs are 1

  OR ↔️ Output is 1 if any input is 1

  NOT ↔️ Output is the inverse of the input
• The OR gate produces an output of 0 only if all inputs are 0.

  True
• Match the logic gate with its truth table scenario:

  AND ↔️ A = 1, B = 1 results in output 1

  OR ↔️ A = 0, B = 1 results in output 1

  NOT ↔️ A = 1 results in output 0
• The output of an AND gate is 0 if any input is 0.

  True
• The output of an OR gate is 1 if at least one input is 1.

  True
• The OR gate outputs 1 only when all inputs are 1.

  False
• The NOT gate outputs 0 if the input is 1.


  True
• The NOT gate can be used to switch a device on when a sensor is off
• An XOR gate could control a light that turns on only when the main switch and auxiliary switch are in opposite positions.
• In a security system, a NAND gate could trigger an alarm if both the door and window sensors are inactive.
• The Boolean logic operation of the AND gate is A AND B.
• The output of an OR gate is 1 if any of its inputs are 1.


  True
• The output of an OR gate is 0 only when all inputs are 0.


  True
• The output of a NOT gate is 1 only when the input is 0.


  True
• The output of an XOR gate is 0 when both inputs are 1.


  True
• The NAND gate produces an output of 0 only when all its inputs are 1.
• The NOR gate produces an output of 1 only when all its inputs are 0.
• What are the main types of logic gates?

  AND, OR, NOT
• What is the output of a NOT gate when the input is 0?

  1
• For an AND gate, if input A = 1 and input B = 1, the output is 1
• A NOT gate switches a device off when the input is 1
• The AND gate produces an output of 1 only when all of its inputs are 1
• The OR gate produces an output of 1 if any of its inputs are 1
• What is the primary function of logic gates in digital electronics?

  Boolean logic operations
• In what scenario does an AND gate produce an output of 1?

  Both lights are on
• What is the Boolean logic operation of the NOT gate?

  NOT A
• What is the output of an XOR gate when both inputs are 1?

  0
• What is the Boolean logic operation of the NAND gate?

  NOT (A AND B)
• What is the function of the AND gate?

  Output is 1 only if all inputs are 1
• The output of an AND gate is 0 if at least one input is 0.


  True
• What is the Boolean logic operation for the OR gate?

  A OR B
• What is the Boolean logic operation for the NOT gate?

  NOT A
• What is the Boolean logic operation for the XOR gate?

  A XOR B
• What is the Boolean logic operation for the NAND gate?

  NOT (A AND B)
• The output of a NAND gate is 1 if at least one input is 0.

  True
• The output of a NOR gate is 0 if any input is 1.


  True
• The AND gate produces an output of 1 only if all inputs are 1.


  True
• Steps to create complex digital circuits using logic gates

  1️⃣ Combine basic logic gates

  2️⃣ Design the desired functionality

  3️⃣ Test the circuit