In binary, each place value column is twice the value of the one on its right.
Thus 10010011 {in base 2} = 1 x 128 + 0 x 64 + 0 x 32 + 1 x 16 + 0 x 8 + 0 x 4 + 1 x 2 + 1 x 1 = 128 + 16 + 2 + 1 = 147
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A base, mathematically speaking, defines the digits which you use to count. Normally, we tend to use base ten - meaning that we have ten values (0-9); if we used base two instead (binary - this is what computers use) then only have two (0 or 1). An example of how numbers compare in different bases: Decimal (base 10): 147 Binary (base 2): 10010011 Octal (base 8): 223 Hexatridecimal (base 36): 43
10 base 2 = 2 base 10
0011001 in base 2 = 49 in base 10
100110 base 2 = 38 base 10
If that's base 2, it's 55 base 10.