Subtraction of binary numbers may seem daunting at first, but with the right approach and understanding of the process, you can master it in no time. Follow these 15 steps to learn how to subtract binary numbers.

1. Understand binary numbers: Binary numbers are base-2 numeral systems, consisting of only two digits – 0 and 1.

2. Familiarize yourself with binary subtraction rules: There are three primary rules to follow:

a) 0 – 0 = 0

b) 1 – 0 = 1

c) 1 – 1 = 0

3. Write down the binary numbers you want to subtract: Ensure that both numbers have the same number of bits (digits). If they don’t, add leading zeros to the smaller number.

4. Align the binary numbers vertically: Write the larger number on top of the smaller one, aligning each digit.

5. Start from the least significant bit (rightmost digit): Perform subtraction according to the three rules mentioned earlier.

6. Identify when you need to borrow: If you encounter a situation where you need to subtract 1 from 0, you will have to use borrowing.

7. Borrow from the left: Find the nearest left-side digit that has a value of 1 and borrow from it, changing its value to 0.

8. Apply the borrowing rule: After borrowing, change each subsequent digit (to the right) from 0 to 1 until you reach your initial subtraction position.

9. Perform subtraction with borrowed values: You should now have a ‘1’ in your initial subtraction position. Continue subtracting following rules a, b & c explained earlier.

10. Move on to other bits: Continue this process for each bit (from right to left), applying borrowing when necessary.

11. Complete your subtraction: Continue subtracting until you’ve finished with the most significant bit (leftmost digit).

12. Note down the result: The final series of digits after subtraction is your binary difference.

13. Remove leading zeros: If your result has any leading zeros, remove them to simplify the final result.

14. Double-check your arithmetic: It’s always a good practice to verify your work by adding back the smaller number to the result and comparing it against the original larger number.

15. Practice: The more you practice subtracting binary numbers, the more proficient and confident you’ll become in handling them.

By following these 15 steps, you will get a firm grasp of how to subtract binary numbers with ease and precision. With consistent practice, you can confidently tackle more complex binary subtraction problems and improve your overall understanding of binary arithmetic.