10010111102
1101000012
11110000012
11110111112 E. None of the above
Answer is Right!
Answer is Wrong!
The correct answer is $\boxed{\text{A) }10010111102}$.
To subtract two binary numbers, you can use the following steps:
- Write the numbers one below the other, with the larger number on top.
- Starting from the right, compare each digit in the two numbers.
- If the digit in the top number is greater than the digit in the bottom number, write a 1 in the answer column.
- If the digit in the top number is less than the digit in the bottom number, write a 0 in the answer column and borrow 1 from the next column to the left in the top number.
- Repeat steps 3 and 4 until you reach the leftmost column.
- If there are any digits in the top number that have not been used, write 0’s in the answer column to the right of them.
In this case, the numbers are $1110101010_2$ and $100101100_2$. Subtracting them digit by digit, we get:
$$\begin{array}{cc}
\multicolumn{2}{c}{1110101010_2} \
– & 100101100_2 \
\hline
\multicolumn{2}{c}{1001011110_2}
\end{array}$$
Therefore, the answer is $\boxed{\text{A) }10010111102}$.