Binary Operations Worksheets

What Are Binary Operations? Just as you obtain a number when you add, subtract, multiply, or divide the two numbers, the binary operations are related to the elements of a set. As the name suggests, binary operations consider any two parts of a set and the resultant of those elements is present in the same set. Binary operations are based on the two elements, the operands, to generate another element of the same set. Binary Addition - It works like the base 10 decimal system, only that the base is 2 in binary addition. The binary system has only two digits, 1 and 0. All binary operations are based on these two digits. Before doing the binary addition, one should know the basic rules and knowledge of the process. Here we have discussed the four rules of binary addition: 0 + 0 = 0 , 0 +1 = 1 , 1 + 0 = 1, 1 + 1 = 10. Binary Subtraction - Like binary addition, binary subtraction is similar to 10 base decimal system, but the base is 2. Here we have discussed the four rules of binary subtraction: 1 – 1= 0, 1 – 0 = 1, 0 – 1 = 1 (with a borrow of 1), 0 – 0 = 0. Binary Multiplication - Binary multiplication is the process of addition and shifting operation; the process continues until you are done with all multiplier to make an addition operation in the end. The rules of binary multiplication are as follows: 0 x 0 = 0, 0 x 1 = 0, 1 x 0 = 0, 1 x 1 = 1. Binary Division - Again, the binary division is similar to that of 10 decimal base system only with base 2. Unlike decimal division, binary division is easier if you remember the following rules: 1 ÷ 0 = 0, 1 ÷ 1 = 1 , 0 ÷ 1 = meaningless, 0 ÷ 0 = meaningless.