How Many Patterns from Three Bits?

Repeat the trick. Make two copies of the table for two bits:

  0 0
  0 1
  1 0
  1 1
  
  0 0
  0 1
  1 0
  1 1

Now make each row unique by putting a "0" in front of the first group and a "1" in front of the second group:

0 0 0
0 0 1
0 1 0
0 1 1
  
1 0 0
1 0 1
1 1 0
1 1 1

Now you have all the patterns that can be formed from three bits.