Compressing A byte

I will prove theoretically how it possible:
Every byte N contains 8 bits, due format.
However the space of a byte is not optimally used.
This a table of how much space is used by certain bytes:
Byte Value:       Size
128-155       8bits
64-127       7bits
32-63       6bits
16-31   5 bits
8-15  4bits
4-7  3 bits
2-3  2 bits
0-1 1 bit
Notice a pattern? The lower the byte value, the less data it contains!
Aggregation of such truncated bytes would take less bits than initial byte.
a value of 31 will take only 5 bits in a bitstring.

1010 as 4-bit bitstring is 10, and it will occupy only 4 bits at ideal compression level, not 8.