Question

Which gate is used for Boolean addition?

• A. AND gate
• B. OR gate
• C. XOR gate
• D. NOT gate

Hint:

Remember: \[ \text{Boolean Addition} \Longrightarrow \text{OR Gate} \] \[ \text{Boolean Multiplication} \Longrightarrow \text{AND Gate} \] \[ \text{Complement} \Longrightarrow \text{NOT Gate} \]

Answer 1

The Correct Option is B

Concept:& nbsp;
Boolean algebra is the mathematical foundation of digital electronics. In Boolean algebra, variables can take only two values: \[ 0 \quad \text{(False)} \] or \[ 1 \quad \text{(True)}. \] The basic Boolean operations are:

• Boolean Addition \((+)\)
• Boolean Multiplication \((\cdot)\)
• Complementation \((\overline{A})\)

Boolean addition is implemented using the OR gate. The OR gate produces an output of 1 whenever at least one input is 1.& nbsp;

Step 1: Recall Boolean addition.
In Boolean algebra, \[ A+B \] represents Boolean addition. Its truth table is: \[ \begin{array}{|c|c|c|} \hline A & B & A+B \\ \hline 0 & 0 & 0 \\ 0 & 1 & 1 \\ 1 & 0 & 1 \\ 1 & 1 & 1 \\ \hline \end{array} \]& nbsp;

Step 2: Identify the corresponding logic gate.
The OR gate follows exactly the same truth table as Boolean addition. Therefore, \[ A+B \] is implemented using an OR gate.& nbsp;

Step 3: Eliminate the other options.
& nbsp;

• AND gate performs Boolean multiplication \((A \cdot B)\).
• NOT gate performs complementation \((\overline{A})\).
• XOR gate performs the exclusive-OR operation \((A \oplus B)\).

Hence, only the OR gate represents Boolean addition. \[ \boxed{\text{OR Gate}} \]& nbsp;

Final Answer: \[ \boxed{\text{OR Gate}} \] Hence, the correct option is \[ \boxed{\text{(B)}} \]