The Free On-line Dictionary of Computing (30 December 2018):

bitwise

    A bitwise operator treats its operands as a
   vector of bits rather than a single number.  Boolean
   bitwise operators combine bit N of each operand using a
   Boolean function (NOT, AND, OR, XOR) to produce bit
   N of the result.

   For example, a bitwise AND operator ("&" in C) would
   evaluate 13 & 9 as (binary) 1101 & 1001 = 1001 = 9, whereas,
   the logical AND, (C "&&") would evaluate 13 && 9 as TRUE &&
   TRUE = TRUE = 1.

   In some languages, e.g. Acorn's BASIC V, the same operators
   are used for both bitwise and logical operations.  This
   usually works except when applying NOT to a value x which is
   neither 0 (false) nor -1 (true), in which case both x and (NOT
   x) will be non-zero and thus treated as TRUE.

   Other operations at the bit level, which are not normally
   described as "bitwise" include shift and rotate.

   (1995-05-12)