Binary Adding, Subtraction, Multiplicaton and Division
Adding, subtracting, multiplying and dividing binary numbers.
A binary signal or number is one that can take only one value: 1 or 0 or on or off.
Addition Binary Numbers
Rule to follow when binary numbers are added:
 0 + 0 = 0
 0 + 1 = 1
 1 + 0 = 1
 1 + 1 = 0 (with a carry of 1)
Examples  Adding Binary and Decimal Numbers
Decimal  Binary  

1  5 + 6 = 11  101 + 110 = 1011 
2  6 + 6 = 12  110 + 110 = 1100 
3  15 + 20 = 35  1111 + 10100 = 100011 
4  3.25 + 5.75 = 9.00  11.01 + 101.11 = 1001.00 
Subtracting Binary Numbers
Rule to follow when binary numbers are subtracted:
 0  0 = 0
 1  0 = 1
 1  1 = 0
 0  1 = 1 (with a borrow of 1)
Examples  Subtracting Binary and Decimal Numbers
Decimal  Binary  

1  9  5 = 4  1001  101 = 0100 
2  16  3 = 13  10000  11 = 01101 
3  6.25  4.50 = 1.75  110.01  100.10 = 001.11 
Multiplication of Binary Numbers
Rule to follow when binary numbers are multiplied:
 0 x 0 = 0
 0 x 1 = 0
 1 x 0 = 0
 1 x 1 = 1
Division of Binary Numbers
Rule to follow when binary numbers are divided:
 0 / 1 = 0
 1 / 1 = 1
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