Question $2[12$ pts$]$:

A real$-$time system receives data through an I$/$O device, the CPU processes the data, then the results of the processing are transferred to system memory. The I$/$O device, the CPU, and the memory controller are all on the same system bus, which runs at $2MHz.$ The CPU runs at $8MHz.$ Assume that each bus transaction $($transfer$)$ between the I$/$O device and CPU on the bus takes $3$ bus cycles, one cycle is used to transfer data, and the remaining two cycles are used by the bus protocol. Assume that the transfer between the CPU and memory is done using a burst of $16$ transfers such that the overhead for each burst is $4$

cycles while each data transfer takes $2$ cycles. The bus has $32$ data lines, transferring $32$ bits per data$-$transfer cycle.

The I$/$O device receives $1024$ bytes at a time. While processing the received data, for each received byte, the CPU generates $2$ bytes. Only generated data is transferred from the CPU to system memory.

If the I$/$O device receives new data at a rate of $150$ times per second $(1024$ bytes each$),$ how many CPU cycles can be spent processing each byte without violating the real$-$time requirements?

Assume that the memory is fast enough to handle any number of requests received by the memory controller.