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I would like to know if operator precedence in programming languages depends on implementation or there is a fixed rule that all languages follow. And if possible, could you order the following operators with highest precedence first: AND, OR, NOT, XOR.
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The order of operations for Boolean algebra, from highest to lowest priority is NOT, then AND, then OR.
The logical-AND operator ( && ) has higher precedence than the logical-OR operator ( || ), so q && r is grouped as an operand. Since the logical operators guarantee evaluation of operands from left to right, q && r is evaluated before s-- .
They have an order of precedence (like BODMAS for arithmetic), and associative, commutative and transitive properties. They are quite simple to understand, though. All Boolean operators can be combined to create complex Boolean expressions.
When two operators share a single operand, the operator having the highest precedence goes first. For example, x + y * z is treated as x + (y * z), whereas x * y + z is treated as (x * y) + z because * operator has highest precedence in comparison of + operator.
I googled and found out this which says that some languages like APL and SmallTalk do not have operator precedence rules and they strictly evaluate expressions from left to right/left to right.
However,relative order of precedence followed is NOT > XOR > AND > OR in most of the languages especially those derived from C
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