What are Binary Numbers

In the previous post we have discussed about binary subtraction and In today's session we are going to discuss about What are Binary Numbers. In mathematics, binary number plays a vital role in the study of number system. What are binary numbers? Many students ask this question. Binary number composed or involved of two number i.e. 0 and 1. There are many operations which are performed by the binary number such as addition, subtraction, multiplication and division. The state of 0 is off and 1 is on.
Binary numbers are basically used in logic gates, computers and many digital electronics circuits.
Let’s deal with the addition of binary number:
Addition of binary number is carried by two steps:

·         1+ 1 = 0 and the carry left goes to the other column.

·         1+ 0 = 1

Suppose we have to add two binary numbers:
Example:
   0 0 0 1 1 1 1 0
+ 1 1 1 0 0 0 1 0
 1 0 0 0 0 0 0 0 0
Here carry 1 goes to the next column.
Now, subtraction of binary number is given by:

·         1 – 0 = 1

·         1 – 1 = 0

·         0 – 0 = 0

·         0 – 1 = 1(with carry from the left side)

Suppose we have to subtract two number:
Example:
   1 1 0 1 (in decimal this is 13)
  -0 1 1 1 (in decimal this is 7)
   0 1 1 0  (so the resultant is 6 in decimal)
( in the first column from the right there is 1-1=0, in the second column 0-1=1 and 1 is carry from the left one, in third column there is 0 remaining in the place of 1 so it will also take carry from left one so the subtraction is 1and in the fourth column 0-0=0 so the total result is 0 1 1 0 ).
Some binary numbers are given below:
The code for binary number is A B C D
                                                8 4 2 1
1 = 0001
2 = 0010
3 =0011
And so on.
Binary numbers and significant figures calculator are well described in CBSE board.