Question $1)(30$ marks$)$

We want to multiplex the following six sources using a $6-$bit frame.

Source $1$: $100$kbps

Source $2$: $95$ kbps

Source $3$: $50$ Kbps

Source $4$: $75$ Kbps

Source $5$: $75$ kbps

Source $6$: $50$ Kbps

a$)$ Design a multi$-$stage multiplexing that requires the least amount of pulse stuffing and

multiplexers.

b$)$ What is the output frame rate $($# of frames$/$s$)?$

c$)$ What is the output data rate and the duration of each output frame in seconds?