The STMicroelectronics chip STM$32407$VG we use in the lab is clocked at $168$MHz and can perform

$168$MIPS $($million instructions per second$).$ Consider $256$ x $256$ color images where each pixel value is

represented using $24$ bits.

a$)$ For a slide show, each image needs to be processed within $1$ second. Using the STM$32407$VG$,$

what is the maximum number of instructions that can be used for processing an image within $1$

second?

b$)$ For real$-$time video transmission or playback, a rate of $30$ frames $($images$)$ per second is used.

Using the STM$32407$VG$,$ what is the maximum number of instructions that can be used to

process a video frame?

c$)$ For real$-$time color video at $30$ frames $($images$)$ per second, how many memory locations are

needed to store $0\mathrm{.}5$ second of video using the STM$32407$VG$?($Hint: each memory location is $8$

bits$)?$