Design a circuit, 8x1 memory, d flip flops

Question 12 (8 points) In this question, you will design a circuit for an 8xl memory, where writing to the memory is hifting-in bits, and reading is "random access", as in a typical RAM. You will then use the circuit to realize a 3-input logic function. i) First, draw an 8-bit shift register with 8 D-type flip-flops. Label the flip-flop OO...7. The shift register input should be called S. Then, extend the circuit to hav inputs A, B, C and an output Z. The circuit's behaviour should be as follows: when ABC is 000 Z-Q0, when ABC is 001, Z-Q1, and so on. Your circuit should contain ONLY the 8-bit shift register, and 2-to-1 multiplexers. (Aside: this circuit is called a 3-input look-up-table (LUT). (6 points)