Binary numbers addition is straight forward process while binary subtractions involve
three fundamentals. Discuss those in details with formula and examples.
Suppose, M is Minuend and N is subtrahend
Then, M – N can be done based on three steps discussed next:
Step 1: Take 2’s complement of N and add it to M.
M – N = M + (2^n – N)
Step 2: If M is greater than or equal to N then end carry is discarded from the result.
M –N = M + (2^n – N) – 2^n
Step 3: If M is less than N then take 2’s complement of the result and append negative
‘-‘ sign in front
So binary subtraction formula , M-N = (-) [2^n – (M + (2^n -1))]. .
Example 1 : Perform binary subtraction of two binary numbers M = 10101010 and N =
Example 2 : Perform binary subtraction of two binary numbers N = 10101010 and M =
Binary subtraction Discussion
M – N
Discard end carry from the subtraction
Answer. Binary subtraction of M and N = 01110010
- 00111000 +11001000
- 10101010 + 01010110
Result = 10001110
No end carry in result
2’s complement of result = 01110010
Answer. Binary subtraction of M and N = - (2’s complement of result) = -01110010
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