Q$1)[2$ pts$]$ A light sensor sends regular readings to a server connected by a $10$km copper

line. Each bit takes $62\mathrm{.}5$ ns $($nano seconds$)$ to transmit. What is the number of bits that can be

transmitted in a second $($the bit rate$)?$ Show your work.

Q$2)[2$ pts$]$ Suppose that the electric signal travels in the copper line at a speed of $2\mathrm{.}3108$

m$/$s$.$ How long does it take for an electrical signal from the sensor to reach the server? Show your

work.

Q$3)[3$ pts$]$ Suppose a $16$ bit measurement is taken at time zero. At what time will this mea$-$

surement be received by the server? Show your work. You must take into account the transmission

time and the time the electrical signal propagates along the line.

Q$4)[3$ pts$]$ Suppose that Manchester encoding is used for transmission and that bit $0$ is

represented by a transition of the signal from low to high. Illustrate the signal that corresponds

to the transmission of one byte $(8$ bits$)$ with hexadecimal value $0$xA$5.$ Assume that the most

significant bit is transmitted first. Show your work.