Question

Zero and unit rules boolean algebra prove
a) true
b) false

Answer 1

The zero rule states that the logical OR operation with a zero always returns the other operand. The unit rule states that the logical AND operation with a unit always returns the other operand.

Step-by-step explanation:

In boolean algebra, the zero rule states that the logical OR operation with a zero always returns the other operand. For example, A + 0 = A. The unit rule states that the logical AND operation with a unit always returns the other operand. For example, A * 1 = A.

To prove this:

a) Zero rule:

1. Let A be a boolean variable.
2. Apply the logical OR operation with a zero: A + 0.
3. By the zero rule, the result is A: A + 0 = A.

b) Unit rule:

1. Let A be a boolean variable.
2. Apply the logical AND operation with a unit: A * 1.
3. By the unit rule, the result is A: A * 1 = A.