1001101-00101
I have a question. Is this binary (base 2) or are these the actual numbers in base 10? That's really important to know.
1,001,000 from what I understand but im not sure
1,001,101 - 101 = 1,001,000
I strongly suspect that these numbers are in base 2
However, just like in any other base, usually a number does not start with zero
If you doing any extensive work with this, I suggest you look at
an addition and a multiplication table in base 2. You can then perform the 4 basic operations in base 2 following the same algorithms you use in base 10
or
you could change the numbers to base 10, do the arithmetic, then change back to base 2
10011012 = 2^6 + 2^3 + 2^2 + 1 = 7710
001012 = 2^2 + 1 = 5
[ 77 - 5 = 72 ]10
722 = 64+8
= 2^6 + 0 + 0 + 2^3 + 0 + 0 + 0
= 10010002
Notice the answer would be same in both base 2 and base 2, since there would be no "borrowing" in the subtraction
To subtract the binary numbers 1001101 and 00101, you can use the following steps:
Step 1: Align the numbers.
Write the two binary numbers (1001101 and 00101) one above the other, aligning the corresponding digits.
1001101
- 00101
Step 2: Start subtracting from right to left.
Begin with the rightmost (least significant) digit. Subtract each pair of digits vertically from right to left.
1 (carry) 0 0 1 1 0 1
- 0 0 1 0 1
Subtraction:
1 (carry) 0 0 0 0 1 0
Step 3: Continue subtracting if necessary.
If there are more digits in the number being subtracted, continue subtracting. Otherwise, proceed to the next step.
Step 4: Perform any necessary carrying.
Check if there was a carry during subtraction. In this case, there was a carry in the first step:
1 (carry) 0 0 0 0 1 0
Step 5: Final Result.
Write down the final result, including any carries if necessary.
1 (carry) 0 0 0 0 1 0
Therefore, the subtraction of 1001101 and 00101 is equal to 1000101 in binary representation.