A'(a+b)+(b+aa)(a+b') computer organisation Boolean algebra

Let's simplify the Boolean expression step by step using the rules of Boolean algebra.

The expression is:

\[
A'(a + b) + (b + aa)(a + b')
\]

### Step 1: Apply the **Idempotent Law** (which states \( A + A = A \)) to simplify \( aa \) in the second term.
\[
A'(a + b) + (b + a)(a + b')
\]
This is because \( aa = a \).

### Step 2: Expand both terms.

1. First term: \( A'(a + b) \)

\[
A'(a + b) = A'a + A'b

A'(a + b) + (b + aa)(a + b') computer organisation Boolean algebra

Explore the step-by-step simplification of the Boolean expression A'(a + b) + (b + aa)(a + b') using key principles of Boolean algebra such as the Idempotent and Distributive laws. Suitable for students in undergraduate-level Computer Science or Electrical Engineering.

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