# CS447/CS642 Homework Set 1 — Winter 2001

### Due: Tuesday, January 9

- An 8mm digital tape holds 7 GB (gigabytes). A vehicle carrying a package of 3 digital tapes is traveling a 18 km/hr. For what range of distances does this vehicle's data rate exceed the
typical ATM speed of 155 Mbps (megabits per second)?
- What is the maximum date rate of a binary signal traveling over a 3 kHz channel with 20 dB signal to noise ratio?
- A cable company enters the telephone business using a 10 Gbps fiber optic cable. Assuming that each telephone conversation is digitized into an 8-bit sample every 125 µsecs, how many simultaneous
telephone conversations can the cable carry?
- Give the Manchester Encoding for 0001110101.

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