It is very simple do you no about hexadecimal values.ok cool i will give you a list of hexadecimal values..

Binary------>Hexadecimal

0000-------->0

0001-------->1

0010-------->2

0011-------->3

0100-------->4

0101-------->5

0110-------->6

0111-------->7

1000-------->8

1001-------->9

1010-------->A

1011-------->B

1100-------->C

1101-------->D

1110-------->E

1111-------->F

The above table explains you why 2 called 10 in binary.

I will give you a small example.

Write 2 and 5 in hexadecimal form

In hexa 11 can be written as 1011 this is in binary and in hexa A.

In hexa 15 can be written as 1111 this is in binary and in hexa F.

Now you compare the above table.....

Hope you understand this...If their is any doubts feel free to ask

Decimal is a numbering system with base 10 i.e. it has ten digits in any numbering system total number of possible digitd always equals the base of that numbering system thus 10 possible digits in decimal 0 1 2 3 4 5 6 7 8 9.

To start counting you start from 0 and increment the ones position till you reach the last possible digit after that you increment the tens position and reset the ones position to zero and count again...

On similar pattern: total number of digits in binary (base 2) will be 2 i.e. 0 1 so when you start counting...

0 0

1 1 <- max binary digit

2 10 <- increase the tens (ideally you should call it twos) position and reset ones position to 0.

hi... im a final year B.Tech Student..

'2' is of base 10 - it is a decimal number.

binary number has a base 2 - ie all the binary no.s have only 1s n 0s

a conversion mechanism can be used.. since the base10 no has to be converted into a base2

divide '2' by 2.. the quotient is 1 and remainder is 0.. 1 cannot be further divided.. so write the answer in reverse order which becomes 10.

Like this so the value of 2 is 10

Remember Binary means two i.e 0 & 1. and Decimal means 10 i.e 0 to 9.