Solving Binary Subtraction

What is the result of the binary subtraction (1101101)2 - (1001)2?

The result of the binary subtraction (1101101)2 - (1001)2 is 1100100.

Understanding Binary Subtraction

Binary system: The binary system is a base-2 numeral system that uses only two symbols: 0 and 1.

Binary Subtraction

When we subtract two binary numbers, we follow similar rules to subtracting decimal numbers. If we subtract 1 from 0, we borrow 1 from the next higher bit.

In this case, we are subtracting (1001)2 from (1101101)2:

        1101101
    -     1001
    ---------
       1100100
    

Explanation

Step 1: Starting from the rightmost bit, subtract each pair of bits. 1-1 results in 0, 0-0 results in 0, 1-0 results in 1.

Step 2: Continue with the subtraction process, borrowing from the next higher bit when needed.

Therefore, the result of (1101101)2 - (1001)2 is 1100100.