Let A = {0, 1}

(a) (2 points) List all binary operation on A = {0, 1} that have an identity. (You should write these operations as a table, dont bother finding a formula for them!).

(b) (2 points) Identify which operations in Part (a) are commutative.

(c) (2 points) Identify which operations in Part (a) operations are associative.

(d) (1 point) Does a commutative binary operation on A with an identity also have to be associative?