



 
Hi Sudhir. One number subscripted to another number generally means a different base using placevalue numeric representation. Most of the time, we work with base ten (decimal) numbers. So numbers like 2007 are understood to be in base ten, and we don't need to write it as 2007_{10}. Thus, each "place" represents a different power of ten:
Sometimes we write things in other bases. Computers operate in binary, which is base 2. Each wire either has voltage (1) or doesn't (0). So it works with just the digits 0 and 1 (2 digits, hence "base 2"). Example:
Octal is base 8, so only the digits 07 are allowed:
Larger bases, like Hexadecimal (base 16) are often used with computer programming. In such cases, we use alphabetics to extend the available digits. So we have 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, D, C, D, E, F (a total of 16 "digits"). Example:
Any given value can be expressed in any base. All the following are equal to 2007:
Hope this helps,  


Math Central is supported by the University of Regina and The Pacific Institute for the Mathematical Sciences. 