0 = 00000 1 = 00001 2 = 00010 3 = 00011
4 = 00100 5 = 00101 6 = 00110 7 = 00111
8 = 01000 9 = 01001 10 = 01010 11 = 01011
12 = 01100 13 = 01101 14 = 01110 15 = 01111
16 = 10000 17 = 10001 18 = 10010 19 = 10011
20 = 10100
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The number 20 in binary is 10100
0.15 = 15/100 = 3/20
1102 = 1*22 + 1*21 + 0*20 = 4 + 2 + 0 = 6
In binary this would be written as 1010. This is because in binary (from right to left) the digits in this number mean:(0 * 20) + (1 * 21) + (0 * 22) + (1 * 23).This is equal to (0 * 1) + (1 * 2) + (0 * 4) + (1 * 8), which equals 0 + 2 + 0 + 8, which equals 11 (in decimal).
The vigesimal, or base-20 numbering system is based on twenty, just like the decimal system is based on ten.