Suppose x is an integer where 0 x 3, and F(x, n) = xⁿ .

(a) (2 Points) What is the minimum sized ROM required to implement F(x, 2)?

(b) (3 Points) What is the minimum sized ROM required to implement F(x, n)?

(c) (5 Points) Suppose a programmable logic device only has two ROMs of size 4 words X 4 bits and multiple 2-input MUXes as programmable blocks. Using this programmable device, implement a circuit where if input H = 0, the device reads input x and outputs F(x, 1), and if H = 1, the device reads input x and outputs F(x, 2).