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Problem 6 Construct truth tables for the 16 Boolean functions of two variables. How many of these functions are commutative? Problem 7 The binary exclusiveor

Problem 6

Construct truth tables for the 16 Boolean functions of two variables. How many of these functions are commutative?

Problem 7

The binary exclusiveor function, , is defined to have value TRUE if and only if exactly one of its arguments are TRUE.

a) Draw the truth table for . b) Is commutative? Is it associative?

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