A processor with the following characteristics is used for a dynamic LED message display:

The instructions per cycle $($IPC$)$ of the processor $=2$

The number of instructions required to compute each new message is $10$ million $(10\mathrm{.}0$x$106).$

What processor cycle rate, cycles per second $($Hz$),$ is required if the display is to change the message $100$ times every second?

Group of answer choices

$500$Mhz

$2$GHz

$5$GHz