When early humans needed to count and keep track of objects, including animals and natural objects, they found that using ten fingers of their hands was the simplest way to count them.
To represent quantitative values, we use number systems. In everyday life, we are dealing with the decimal number system, which consists of ten digits. Consequently, the base of the decimal system is 10.
0 1 2 3 4 5 6 7 8 9
In the binary number system, there are only two digits. Consequently, the base of the binary system is 2.
0 1
The rules and principles for all number systems are the same. In every system, we do operations like addition, division, multiplication, or subtraction.
In the decimal number system, when we have four numbers to add, we break down them into parts, calculate operations separately, and add them together. The same concept is proper and applicable to binary systems.
A binary system has only two digits ,0 and 1. Here are rules that will help to add numbers in the binary system.
0 + 0= 1
0 + 1= 1
1 + 0= 1
1 + 1= 10
Let’s take the example of 111 + 110
- 111 110 _____
Step 1. We add 1 to 0 starting from the right side. 1 + 0 = 1
Step 2. Add second column which is 1 + 1 = 10
Step 3. In order to add the last column 1 + 1 we had to carry 1
from the second column result and put 0 under the second column.
1
+ 111
110
_____
01
Step 4. Using the same method that we used in step 3 we add the last column’s numbers.
11
+ 111
110
_____
1101
So, the result of the addition operation is 1101.
Top comments (1)
Great explanation👍.. Thank you