2-bit vector addition (A as MSB, B as LSB): Given [A] = 10 and [B] = 01 (both 2-bit unsigned), compute [A] + [B] as a 2-bit sum with possible carry.

Introduction / Context:
This problem practices basic 2-bit binary addition using vector notation. We treat 10 as decimal 2 and 01 as decimal 1, both unsigned, and compute their sum.

Given Data / Assumptions:

• 2-bit vectors: [A] = 10 (value 2), [B] = 01 (value 1).
• Unsigned addition; A is the most significant bit (MSB).
• Report the 2-bit sum (and note if a carry would appear).

Concept / Approach:
Add bitwise from LSB to MSB, propagating carry as needed. 2 + 1 = 3, which in binary is 11. Since 11 fits in 2 bits, no extra carry beyond the 2-bit field is needed.

Step-by-Step Solution:

Verification / Alternative check:
Decimal check: 2 + 1 = 3 → binary 11.

Why Other Options Are Wrong:

Common Pitfalls:
Reversing bit order or misreading which bit is MSB.

Final Answer:
[11]