The best way to do bit manipulation/unsigned bytes is through using ints. Even though they are signed they have plenty of spare bits (32 total) to treat as an unsigned byte. Also, all of the mathematical operators will convert smaller fixed precision numbers to int. Example:
short a = 1s;
short b = 2s;
int c = a + b; // the result is up-converted
short small = (short)c; // must cast to get it back to short
Because of this it is best to just stick with integer and mask it to get the bits that you are interested in. Example:
int a = 32;
int b = 128;
int foo = (a + b) | 255;
Here is some more info on Java primitive types http://mindprod.com/jgloss/primitive.html
One last trivial note, there is one unsigned fixed precision number in Java. That is the char primitive.