Subtraction of 1001011002 from 11101010102 is A. 10010111102 B. 01101000012 C. 11110000012 D. 11110111112 E. None of the above

10010111102
1101000012
11110000012
11110111112 E. None of the above

The correct answer is $\boxed{\text{A) }10010111102}$.

To subtract two binary numbers, you can use the following steps:

  1. Write the numbers one below the other, with the larger number on top.
  2. Starting from the right, compare each digit in the two numbers.
  3. If the digit in the top number is greater than the digit in the bottom number, write a 1 in the answer column.
  4. 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.
  5. Repeat steps 3 and 4 until you reach the leftmost column.
  6. 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 $\boxed{\text{A) }10010111102}$.

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