|
To make this trick work you need to place the numbers from 1 to 63 in the lists in a particular arrangement. Notice that each of the numbers in the upper left corner of a list is a power of two.
32 = 25, 16 = 24, 8 = 23, 4 = 22, 2 = 21 and 1 = 20.
Start to create the lists by putting the powers of 2 in the upper left corners.
Each integer from 0 to 63 can be written in the form
a x 25 + b x 24 + c x 23 + d x 22 + e x 21 + f x 20
where a, b, c, d, e and f are either 0 or 1. This is often written abcdef2 and called base two notation.
For each number between 1 and 63 first write it in base two notation. For example for 41.
41 = 1 x 32 + 0 x 16 + 0 x 8 + 1 x 4 + 0 x 2 + 1 x 1
= 1 x 25 + 0 x 24 + 1 x 23 + 0 x 22 + 0 x 21 + 1 x 20
= 1010012
Place the number on each card that corresponds to a 1 in the base 2 representation. Thus, reading from left to right, 41 is placed on the first, third and sixth cards.
|
|