$.$ Hosts A and B are connected via a $2$km optical link $($propagation speed $2.$ x $10^8$ m$/$s$)$ with $100$ Gbps bandwidth.

a$)$ Calculate the propagation delay for the optical link in seconds.

b$)$ Calculate the transmission delay for a $125000-$byte frame in seconds.

c$)$ What is the total delay for transmitting the $125000-$byte frame from A to B $($ignore queuing delay and processing delay$)?$

$2.$ Node A is connected to node B by a $200$km fiber link having a bandwidth of $100$Mbps$.($light speed $2*10^8$ m$/$s$)$

What is the total time required to transmit a $40000$ byte file using packets that include

$1000$ Bytes of data plus $40$ Bytes of header.

Propagation:

Number of Packets:

Transmission:

Total:

$3.$Representing $0$ on eight bits is achieved by $"00000000",$ representing $1$ is achieved by $"00000001",$ representing $2$ is achieved by $"00000010",$ representing $3$ by $"00000011",,,$ representing $192$ is by $"11000000".$

What is the binary representation on $8$ bits for:

a$)37$

b$)60$

c$)123$

d$)193$

e$)254$