Can someone teach me binary numbers in an easy way and i have gave some details what i want to learn.?

Question

How to count in binary numbers
how to convert decimals into binary numbers and
how to convert binary numbers into decimals.

Answer 1

Binary is represented by 1's and 0's. 1 is "on" and 0 is "off". It is read right to left...the smallest number is at the right and they get bigger as you go left. The right-most number is 1, then 2, then 4,8,16,32,64...doubling each time. So 1010 means don't count the 1 digit, count the 2, don't count the 4, count the 8, then add up the total of counted digits. 1010 = 10. 1110 = 14. 1111 = 15.



To convert decimal to binary you start with the largest number that subtracts into it. Let's take 37. Using the above 1,2,4,8,16,32,64...you see that the largest number that goes into 37 is 32, with 5 left over. So put a 1 down on your paper. Then will 16 go into 5? No, so put a 0 and you now have 10 on your paper. Will 8 go? No, so another 0 for 100. Will 4 go? Yes, so put down a 1 for 1001. After you take 4 from 5 there's 1 left. Will 2 go into 1? No, so another 0 for 10010. Will 1 go? Yes, so you have 37 decimal = 100101 binary.

Answer 2

Counting in binary takes time because you have to get your head wrapped around the concept of a base two number system. We currently use a to a base 10(decimal) number system.



I don't want to get to in depth so here is a little bit of what to expect. Our decimal number system is 0-9 (ten digits) we then roll over(assuming there is no natural numbers used 1-10). In binary it's 0-1 then we roll over. So 2 in binary would be 00000010. As you can see this gets to complicated to explain here.



As for converting binary to decimal and back I recommend you use the binary chart conversion method. Not only is this easy to understand and use but you can also use the hexadecimal converting trick with it by dividing it in fours(becuase one digit in hex equals four bits). Which is alot easier then using powers of 16.





Also I will throw in some extra details since you probably want to use binary for data representation on electronics/computers.



1 bit is one digit in binary.

8 bits is equal to one byte.

1024 bytes is equal to one kilobyte



After this it uses the metric system for ever 1024....



1024 kilobytes would be 1 megabyte thus a 1024 megabyte would be 1 gigabyte and so on...



hexadecimal is the next used numbering system after binary.

Answer 3

Try here

http://www.helpwithpcs.com/courses/binary-numbers.htm

Hope this helps

Doug