In this lecture, we will...

What are the three things the lecture is going to be about?
The three things the lecture is going to be about are:

  1. Variable, Switch, Function, and Gates.
  2. Using Logic Gates to build our first ever Logic Circuits.
  3. Learning a few more aspects of Boolean logic.

...

Gates Symbols and Truth Tables

What is the symbol for an AND gate?
The symbol for an AND gate is:
School/Boise State University/Fall 2024/ECE 230 - Digital Systems/Images/Symbols/AND2 Gate.png

What is the symbol for an OR gate?
The symbol for an OR gate is:
School/Boise State University/Fall 2024/ECE 230 - Digital Systems/Images/Symbols/OR2 Gate.png

What does the number after the name of a logic gate represent?
The number after the name of a logic gate represents the number of inputs.

What does a truth table represent?
A truth table represents all of the possible combinations of inputs and the corresponding outputs from a logic gate.

Overview of Switch, Function, Gate and Truth Table

What is a switch?
A switch is a binary device that controls the flow of current.

What does a switch represent?
A switch represents a binary variable.

What are the two ways a digital circuit can be represented?
The two ways a digital circuit can be represented are:

  1. Physical components.
  2. A function.

What is a logic function?
A logic function is a mathematical representation of the relationship between binary variables as input and the binary output.

Which logic function do switches in series represent?
The logic function that two switches in series represent is AND.

Which logic function do switches in parallel represent?
The logic function that two switches in parallel represent is OR.

What is a logic gate?
A logic gate is a combination of switches representing a function or sub function.

From the professor

A logic gate is an electronic component that performs a basic logical function.

Transistors: Voltage controlled switches

What are transistors?
Transistors are voltage-controlled switches.

How big are semiconductor transistors?
Semiconductor transistors are a few nanometers big.

What component was used before semiconductor transistors?
The component that was used before semiconductor transistors was the vacuum tube.

Forming Logic Gates w/ Transistors:

What is the circuit diagram for the AND gate?
The circuit diagram for the AND gate is:
School/Boise State University/Fall 2024/ECE 230 - Digital Systems/Images/Circuit Diagrams/AND2 Gate.png

What is the circuit diagram for the OR gate?
The circuit diagram for the OR gate is:
School/Boise State University/Fall 2024/ECE 230 - Digital Systems/Images/Circuit Diagrams/OR2 Gate.png

More Logic Gates: Inverter

A CMOS Transistor is a natural ...
A CMOS Transistor is a natural inverter.

What is the symbol for an inverter?
The symbol for an inverter is:
Inverter.png

More Logic Gates: Exclusive OR

What is the logic of exclusive OR (XOR)?
The logic of XOR is that both inputs can't be turned on or off at the same time.

What is the symbol for an XOR gate?
The symbol for an XOR gate is:
XOR2 Gate.png

More Inputs!

How many rows does the truth table for AND_N have?
The truth table for AND_N has rows.

OR_N:

How many rows does the truth table for OR_N have?
The truth table for OR_N has rows.

Overview

What are the four basic logic gates?
The four basic logic gates are:

  1. NOT.
  2. AND (AND2).
  3. OR (OR2).
  4. XOR (XOR2).

...