Question $2$: The following MIPS Code is executed using the MIPS multicycle architecture. Include all iterations of the loop. Initial values for the registers are: $$s0=0230,$$$s1=0240$ and $$t1=1($a$)$ Data Path $-$ For the given code, trace the steps of execution using the image below.$($b$)$ Control Path $-$ For the given code, write the values of the control signals for each instruction.

You may group the instructions with the same control signals.

The control signals to be included are: ALUOp, ALU control output $($ALU ctrl$),$ IorD, ALUSrcA, ALUSrcB, IRWrite, PCWrite, PCWriteCond, PCSource, Regdst, RegWrite, MemRead and MemWrite

$($c$)$ Execution Time $-$ For the given code, compute the execution time for the program with Processor clock rate $4GHz.$