Final answer:
Binary subtraction of the number 11011010 from 11010111 is performed bit by bit from right to left, using rules for borrowing similar to decimal subtraction but adapted for the binary system. The result of this subtraction is the binary number 11111101.
Step-by-step explanation:
The question asks how to subtract the binary number 11011010 from 11010111. To do this, we use binary subtraction rules, similar to decimal subtraction, but with the base of 2.
- Starting from the rightmost bit, we subtract each bit of the subtracted number from the corresponding bit of the number we are subtracting from. If the bit of the subtracted number is larger than the corresponding bit in the original number, we need to borrow from the next left bit, just as we would with decimal numbers.
- When borrowing in binary, 'borrowing' means reducing the next bit to the left by 1 (turning a 0 into a 1) and adding a '2' to the current bit we're working with. Since we're working in binary, adding 2 is the same as flipping the current bit from 0 to 1.
- Continue this process for all bits until the subtraction is complete.
Performing the subtraction:
- 11010111 - starting number
- -11011010 - number to subtract
- =========
- 11111101 - result after subtraction
This binary subtraction results in the binary number 11111101, which is the answer to the problem.