When combining multiple transformations, we can build a more complex mapping from the source through intermediate targets to the result. To illustrate this, we'll truncate the colors as well as apply a mapping.
In some problem contexts, truncation can be difficult. In other cases, it's often quite simple. For example, truncating US postal ZIP codes from nine to five characters is common. Postal codes can be further truncated to three characters to determine a regional facility that represents a larger geography.
For colors, we can use the bit-masking shown previously to truncate colors from three 8-bit values (24 bits, 16 million colors) to three 3-bit values (9 bits, 512 colors).
Here is a way to build a color ...
