The Binary Trick

Today we performed some Math Magic Tricks using binary numbers.

I started out by asking each student their birthdate, and using the binary trick I was able to guess that number. I was even able to guess any number they were thinking of between 1 and 31.

How?

I asked the students to look at each of the following tiles and asked them if their number was on the following tiles, and they had to answer yes or no for each tile.

Binary Trick Tiles

Binary Trick Tiles

Using this trick, one can guess the number!

How, well I will allow your child to perform the trick on you.

How does it work?

Click above to see a solution using binary numbers.

After playing around with the binary trick we learned to count in a new system of Base Six.

So to count in base six

1

2

3

4

5

10

11

12

13

14

15

20

21

22

……

54

55

100

101

….

So instead of each column being for powers of 2 with 1, 2, 4, 8, and 16

We now have powers of 6 with 1, 6, 36, and 216