Logic Gates
Logic gates are the fundamental building blocks of digital circuits, and are critical to the functioning of basic computer functions. They are responsible for processing binary data in a computer by performing Boolean logic operations such as AND, OR, NOT, and XOR. By combining multiple logic gates, complex digital circuits can be created that can perform a wide range of operations, from basic arithmetic to complex decision-making processes.
AND
Boolean multiplication corresponds to the logical function of an “AND” gate, as well as to series switch contacts:
OR
Boolean addition corresponds to the logical function of an “OR” gate, as well as to parallel switch contacts:
NOT
Boolean complementation finds equivalency in the form of the NOT gate, or a normally-closed switch or relay contact:
Half-Adder Circuit
A half-adder circuit is used to add two bits of data together and is based on the following Truth Table.
| A | B | Sum | Carry |
|---|---|---|---|
| 0 | 0 | 0 | 0 |
| 1 | 0 | 1 | 0 |
| 0 |
Correct! |
1 | 0 |
| 1 | 1 | 0 |
Correct! |
A half-adder circuit consists of two logic gates as follows:
Full-Adder Circuit
A full-adder circuit is used to add three bits of data together and is based on the following Truth Table.
| A | B | C in | Sum | Cout |
|---|---|---|---|---|
| 0 | 0 | 0 | 0 | 0 |
| 1 | 0 | 0 | 1 | 0 |
| 0 | 1 | 0 | 1 | 0 |
| 1 | 1 | 0 |
Correct! |
1 |
| 0 | 0 | 1 | 1 | 0 |
| 1 | 0 |
Correct! |
0 | 1 |
| 0 | 1 | 1 | 0 | 1 |
| 1 | 1 | 1 | 1 |
Correct! |
A full-adder circuit consists of two half-adder circuits and an OR gate connected as follows:
Hacks
Answer these questions in your blog:
- How can logic gates be used to execute basic computer functions?(1-2 sentences)
Logic gates are the fundamental building blocks of digital circuits in computers. They can be combined in various ways to perform basic computer functions such as addition, subtraction, multiplication, and more complex operations like data storage and decision-making.
- What is the difference between boolean operations and logic gates?(1-2 sentences)
Boolean operations are mathematical operations that operate on true and false values (or 1 and 0), such as AND, OR, and NOT. Logic gates are physical or electronic devices that implement these Boolean operations in digital circuits. So, Boolean operations are abstract mathematical concepts, while logic gates are the physical or electronic components that perform those operations in practice.
- Go to this link and complete the following game. Take a screenshot of when you’ve completed it. Talk about how each logic gate works with one another.