Boolean Algebra:
Boolean algebra is a mathematical structure that deals with binary variables and logic operations. It was introduced by George Boole in the mid-19th century and is widely used in digital logic design and computer science.

Binary Variables:
Binary variables can have two possible values: 0 and 1. These values can represent the states of a switch, the presence or absence of a signal, or the truth values of logical propositions.

Logical Operations:
In Boolean algebra, there are three basic logical operations: AND, OR, and NOT. These operations are defined by truth tables that specify the output value for each possible combination of input values.

AND Operation:
The AND operation takes two input values and produces an output value of 1 only if both inputs are 1. Otherwise, the output value is 0. In other words, it represents logical conjunction.

Truth Table for AND operation:
The truth table for the AND operation is as follows:

| A | B | A AND B |
|---|---|---------|
| 0 | 0 | 0 |
| 0 | 1 | 0 |
| 1 | 0 | 0 |
| 1 | 1 | 1 |

Explanation of 1 AND 1:
In the given expression, we have two input values, both equal to 1. According to the truth table for the AND operation, when both inputs are 1, the output is also 1. Therefore, the value of 1 AND 1 is 1.

Conclusion:
In Boolean algebra, the expression 1 AND 1 evaluates to 1. This means that if both input values are 1, the output value will also be 1. The AND operation represents logical conjunction and is an essential part of digital logic circuits and computer algorithms.

In Boolean Addition, 1 + 1 = 1