Binary subtraction practice: compute (1110101010)_2 − (100101100)_2 and select the correct binary result.

Introduction / Context:
Binary arithmetic underlies computer operations at the hardware level. This exercise tests accurate subtraction of two unsigned binary numbers and recognition of the correct result among plausible distractors.

Given Data / Assumptions:

• Minuend = 1110101010 (base 2).
• Subtrahend = 100101100 (base 2).
• Treat both as unsigned binary integers; no sign bits involved.

Concept / Approach:
We can subtract using either direct binary column subtraction with borrows or convert to decimal for a cross-check. Converting to decimal often provides a quick sanity check before re-encoding the result back to binary.

Step-by-Step Solution:

Verification / Alternative check:
Perform column-wise binary subtraction with borrows; the final bits match 1001111110, confirming the decimal cross-check result.

Why Other Options Are Wrong:

Common Pitfalls:
Misaligning bit positions due to different operand lengths; always align the least significant bits. Also, forgetting borrows in binary column subtraction yields off-by-powers-of-two errors.

Final Answer:
1001111110