Perl 6:

0/FALSE: 0, "0", "", undef ("0" is true if the type is Str)
1/TRUE:  everything else

 AND    OR     XOR   NOT
+&     +|     +^     +^    <-- bitwise, numeric
~&     ~|     ~^     ~^    <-- bitwise, string
?&     ?|     ?^     ?^    <-- bitwise, boolean
&&     ||     ^^     !     <-- logical, high precedence
and    or     xor    not   <-- logical, low precedence
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• The difference between logical and bitwise boolean is that logical AND and OR return an operand, while bitwise AND and OR return boolean values (the original values are lost).
• ?^/^^, and ?^/! are practically the same.
• ^^ was missing in Perl 5.
• +^, ~^, ?^ are both XOR and NOT, depending on whether they are used infix (in between) or prefix (in front).