To subtract the binary numbers \( 110001001_2 \) and \( 1110100_2 \), first align them and perform binary subtraction:

\[
\begin{array}{c}
\ \ \ \ 110001001_2\\
- \ \ \ \ \ \ 1110100_2 \\
\end{array}
\]

1. Align the binary numbers:

\[
110001001_2\\
0001110100_2 \\
\]

2. Perform binary subtraction:

\[
\ \ \ \ 110001001_2\\
-\ 0001110100_2 \\
= 101001101_2
\]

Thus, \( 110001001_2 - 1110100_2 = 101001101_2 \).

If you want the decimal equivalent:

- \( 110001001_2 = 393 \)
- \( 1110100_2 = 116 \)
- \( 393 - 116 = 277 \)

In binary, \( 277_{10} = 101001101_2 \).

Would you like further details or have any questions?

Here are 5 related questions:

1. How do you convert binary numbers to decimal?
2. What are the steps for binary addition?
3. How does binary subtraction differ from decimal subtraction?
4. Can you explain the concept of binary complements?
5. How does binary arithmetic apply in computer systems?

**Tip:** When subtracting binary numbers, borrow from the next bit just like in decimal subtraction.

Learn how to subtract two binary numbers: 110001001 and 1110100. This solution covers key concepts like binary subtraction, binary to decimal conversion, and step-by-step binary arithmetic. Ideal for students in Grades 9-12 looking to understand binary operations.

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