In case anybody is still confused about logic operators, more information can be found here: http://www.categories.acsl.org/wiki/index.php?title=Bit-String_Flicking (or you can look it up yourself). I've also attached a table of what each operation outputs for reference.
HW Questions (Do stuff in brackets first!):
LSHIFT-2(10011 XOR 00110) OR (LCIRC-2(RCIRC-2(10001)))
( (RSHIFT-3(01000) XOR NOT(00110) ) AND (01101 OR RCIRC-2(10011))
What should X be to satisfy the following equation? (There are multiple answers; name as many as you want!)
X AND 11010 = 01000