Numbers

In order for me to convert 110010101, to a decimal number, I listed the binary number like this:

1    1    0    0    1    0    1    0    1
28   27   26   25   24    23   22   21   20

Then, I wrote the 2 to the power of 0-8 starting from the right and listed them under each number, shown above. Then I took the number with the number 1 above it and took it to it's power and added them to get:

20=1     22=4     24=16     27=128     28=256

All equals 405. Therefore, (binary#) 110010101 = 405 (decimal#)
In order to convert a decimal number to a binary I take the number like 529 and divide it by 2. If there is a remainder of 1, then on the side write down a 1. If there is no remainder, then write down a 0 on the side. Therefore, this is what the process of converting 529 to binary looks like:

Decimal	Quotient	Remainder	Binary
529	264	1	1
264	132	0	01
132	66	0	001
66	33	0	0001
33	16	1	10001
16	8	0	010001
8	4	0	0010001
4	2	0	00010001
2	1	0	000010001
1	0	1	1000010001

As one can see the binary number for 529 is 1000010001.

Positional and Non-Positional Numbers
Positional numbers are numbers with a place value, for example decimal numbers. In order for the decimal number 529 to mean five hundred and twenty nine, the numbers have to be in a specific position. The number 9 is in the ones position, 2 is in the tens position, and the 5 is in the hundreds position. So when you add 9 ones + 2 tens + 5 hundreds = 9+20+500=529.
Non-Positional numbers are numbers that do not have a place values, for example, binary numbers do not have place values. 1000010001 = 529. The number 1000010001 has no place values, otherwise it means a totally different number. Therefore, the difference between positional and non-positional numbers is that postitional number has place values and the other does not.