$1.$ Answer both parts: a$.(15$ points$)$ Convert the following RV$32$I instructions to machine code $($binary or hex$)$: i$.$ SUB X$10,$ X$11,$ X$12$ ii$.$ ADDI X$20,$ X$21,32$ iii. ANDI X$15,$ X$18,16$ b$.(10$ points$)$ What are the values of all the control signals, and the values of Q$8,$ Q$9,$ Q$4,$ Q$0,$ Q$1$ when the following instruction is executed? XORI X$9,$ X$10,20$ Given, Reg$[$X$10]=20,$ PC$=1028$ Datapath diagram is given on the last page