Boolean logic
A branch of algebra that deals with true or false values, represented as 1 and 0 in binary systems
It forms the foundation of digital circuits, programming, and algorithm design.
Boolean logic is named after George Boole, a 19th-century mathematician who developed the algebraic system that underpins modern computing.
Boolean operators are used to perform logical operations on binary values.
They are essential for:
Before diving into different Boolean operators, we need to understand how to visualise them.
Truth table
A tool to show all possible combinations of input values (usually true or false) and their corresponding output for a logical operation or Boolean expression
Truth tables are used to represent the behaviour of Boolean operators. They list all possible input combinations and their corresponding outputs. They consist of:
Another way is to draw a corresponding logic gate diagram:
Logic gates
Logic gates are the building blocks of digital circuits. They perform Boolean operations on one or more binary inputs to produce a single binary output.
Logic diagrams
Logic diagrams are visual representations of how logic gates are connected and interact within a circuit.
Each core operator has their own standard symbol for representing a Boolean operator.
| Input A | Input B | Output |
|---|---|---|
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |
When using the AND operator in programming, remember that all conditions must be true for the overall expression to evaluate as true.
In Python, and operator is straightforwardly called "and":
def and_operator(a, b): if a == 1 and b == 1: result = 1 else: result = 0 return resultNice try, unfortunately this paywall isn't as easy to bypass as you think. Want to help devleop the site? Join the team at https://revisiondojo.com/join-us. exercitation voluptate cillum ullamco excepteur sint officia do tempor Lorem irure minim Lorem elit id voluptate reprehenderit voluptate laboris in nostrud qui non Lorem nostrud laborum culpa sit occaecat reprehenderit
Paywall
(on a website) an arrangement whereby access is restricted to users who have paid to subscribe to the site.
Lorem ipsum dolor sit amet, consectetur adipiscing elit. Sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.
Duis aute irure dolor in reprehenderit in voluptate velit esse cillum dolore eu fugiat nulla pariatur. Excepteur sint occaecat cupidatat non proident, sunt in culpa qui officia deserunt mollit anim id est laborum.
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam quis nostrud exercitation.
Nemo enim ipsam voluptatem quia voluptas sit aspernatur aut odit aut fugit, sed quia consequuntur magni dolores eos qui ratione voluptatem sequi nesciunt. Neque porro quisquam est, qui dolorem ipsum quia dolor sit amet, consectetur, adipisci velit.
Lorem ipsum dolor sit amet, consectetur adipiscing elit, sed do eiusmod tempor incididunt ut labore et dolore magna aliqua. Ut enim ad minim veniam, quis nostrud exercitation ullamco laboris nisi ut aliquip ex ea commodo consequat.