210 = 102
810 = 10002
1010 = 10102
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The binary equivalent is 101110000. If you're using Windows 7, the built-in calculator will convert numbers between base 10, 8, 2 & hex
1001 (base 2) = 1(2)3 + 0 + 0 + 1 = 8 + 1 = 9 (base 10)9 (base 10) = 1(8) + 1 = 11 (base 8).
25 + 23 + 21 + 20 = 32 +8 +2+1 = 43
To find the decimal equivalent of an 8-bit binary number, you can use the positional numbering system. Each bit in the binary number represents a power of 2, from right to left. Starting from the rightmost bit, you assign a value of 2^0, 2^1, 2^2, and so on, doubling the value for each position. Then, you sum up the values of the positions where the binary digit is 1. This sum is the decimal equivalent of the 8-bit binary number.
If we are using base 8 then 127 = (7 * 80) + (2 * 81) + (1 * 82) = 7 + 16 + 64 = 87 [i.e. (7 * 100) + (8 * 101)] in the decimal (base 10) system. In binary (base 2) we would write this as:1010111.