Add the binary numbers 10₂ and 11₂ and express the sum in binary.

Introduction / Context:Binary addition is fundamental to arithmetic logic units (ALUs) and digital circuits. This item reinforces carry handling when summing two small binary numbers.

Given Data / Assumptions:

• Operands: 10₂ and 11₂.
• No signed interpretation; simple unsigned addition.

Concept / Approach:

• Binary addition rules: 0+0=0, 0+1=1, 1+0=1, 1+1=0 with carry 1.
• Align bits from least significant to most significant and add with carries.

Step-by-Step Solution:

Verification / Alternative check:

Why Other Options Are Wrong:

• 100₂: Equals 4, not 5.
• 111₂: Equals 7, not 5.
• 110₂: Equals 6, not 5.
• None of the above: Incorrect because 101₂ is correct.

Common Pitfalls:

• Dropping the final carry when 1+1 occurs.
• Misaligning bit columns when adding.

Final Answer: