e) (20 points) Using Shannon's expansion, implement F using a 2-to-1 MUX, some AND gates, some OR gates, and some NOT gates. (65 points) A 4-bi rotator circuit is defined in the last two slides in the mini-lecture notes of Class 21. This rotator rotates the input bits to the left by 0, 1, 2 or 3 bit positions. We call it a left-rotator. A right-rotator is the same as a left-rotator except that it rotates to the right instead of to the left. In this question, you are asked to design a right-rotator circuit using one left-rotator. a) (30 points) Design a right-rotator by converting its X Y inputs by some AND, OR, and NOT gates into the X Y inputs to the left-rotator such that the left-rotator will behave like a right- rotator. Note that you are not allowed to modify the internal circuitry of the left-rotator b) (35 points) Design a right-rotator with one left-rotator and without any other gate. Note that you are not allowed to modify the internal circuitry of the left-rotator e) (20 points) Using Shannon's expansion, implement F using a 2-to-1 MUX, some AND gates, some OR gates, and some NOT gates. (65 points) A 4-bi rotator circuit is defined in the last two slides in the mini-lecture notes of Class 21. This rotator rotates the input bits to the left by 0, 1, 2 or 3 bit positions. We call it a left-rotator. A right-rotator is the same as a left-rotator except that it rotates to the right instead of to the left. In this question, you are asked to design a right-rotator circuit using one left-rotator. a) (30 points) Design a right-rotator by converting its X Y inputs by some AND, OR, and NOT gates into the X Y inputs to the left-rotator such that the left-rotator will behave like a right- rotator. Note that you are not allowed to modify the internal circuitry of the left-rotator b) (35 points) Design a right-rotator with one left-rotator and without any other gate. Note that you are not allowed to modify the internal circuitry of the left-rotator