This instruction, CMPIC RX$,$ RY compares the two numbers stored in memory at addresses provided by registers RX and RY$.$ It increments the number stored at memory location pointed by RX register, if the number at the memory address provided by RY is smaller than the other number.

a$.$ Write the annotated level $2$ flowcharts for the instruction using the execution unit, following the rules of operation given in the text $($mention changes if any required to the execution unit$).$

b$.$ For the flowchart states drawn, identify the different uses of the following macros: REG, ALU, PC and T$1$ and propose an optimal control$-$word format by assigning suitable number of bits to each macro.

c$.$ If the Processor is connected to a system clock of frequency $100$ MHz and each flowchart state takes one state and each state is made of $4$ phases of clock $($derived using system clock and each phase stays high for one clock cycle of the system clock$)$ compute the time taken to execute the above instruction