anded

ANDed is a term used in digital electronics and computer science to describe the logical operation of combining two or more binary inputs to produce a single binary output. The operation is called "AND" because it mimics the logical conjunction "and" in natural language. In an AND operation, the output is true (or 1 in binary) only if all of the inputs are true (or 1). If any of the inputs are false (or 0), the output is false (or 0).

The AND operation is fundamental in digital circuits and is often represented by the symbol "∧" or the word "AND". It is used in various applications, including logic gates, Boolean algebra, and digital signal processing. The AND operation can be extended to more than two inputs, resulting in a multi-input AND gate.

In Boolean algebra, the AND operation is denoted by the dot (·) or simply by juxtaposition. For example, A ∧ B represents the AND operation of A and B. The truth table for a two-input AND gate is as follows:

A B | A ∧ B

--- | ---

0 0 | 0

0 1 | 0

1 0 | 0

1 1 | 1

The AND operation is one of the basic logical operations, along with OR, NOT, and XOR. It is used in a wide range of applications, from simple logic circuits to complex digital systems.