Final answer:
When subtracting binary numbers, follow the same rules as subtracting decimal numbers. The result of 101101 - 001011 is 100010.
Step-by-step explanation:
To subtract binary numbers, follow the same rules as subtracting decimal numbers. When subtracting the rightmost bits, if the minuend bit is smaller than the subtrahend bit, borrow 1 from the next higher bit. Then, subtract the corresponding bits. Here's the step-by-step process for the given problem:
1. Start with the leftmost bits. 1-0=1.
2. Moving to the next bits, 1-1=0.
3. For the third bit, borrow 1 from the next higher bit. So, the next higher bit becomes 1-1=0.
4. Now, subtract the corresponding bits, 1-1=0.
5. Finally, subtract the remaining bits, 0-0=0.
The result of 101101 - 001011 is 100010, so the correct answer is a) 100010.