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Logical conjunction facts for kids

Kids Encyclopedia Facts

Logical conjunction is a special way of combining two ideas or statements. It's often just called AND. Imagine you have two things that can be either true or false. Logical AND looks at both of them. If both things are true, then the AND statement is also true. If even one of them is false, or if both are false, then the AND statement becomes false.

Think of it like this: "I will go outside AND it is sunny."

  • If you go outside (true) AND it is sunny (true), then the whole statement is true.
  • If you go outside (true) but it is NOT sunny (false), the whole statement is false.
  • If you do NOT go outside (false) but it IS sunny (true), the whole statement is false.
  • If you do NOT go outside (false) AND it is NOT sunny (false), the whole statement is false.

What is Logical AND?

Logical AND is a basic idea in logic and computer science. It helps us understand how different pieces of information connect. It's a type of "logic operation" because it takes inputs and gives an output based on a rule.

How it Works

Logical AND always takes two inputs. These inputs are called "truth values." A truth value is simply whether something is true or false.

  • If your first input is true AND your second input is true, the result is true.
  • In all other cases (if one input is false, or if both are false), the result is false.

The AND Symbol

In logic, the symbol for logical AND is \land. So, if you see "A \land B", it means "A AND B".

Logical AND in Computers

Computers use logical AND all the time. It's built into their basic parts, called logic gates. The logic gate for AND is called an AND gate. These gates are tiny electronic circuits. They take two electrical signals (which represent true or false) and produce one output signal. This output signal is true only if both input signals were true.

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