A telemetry system has to transmit messages to indicate the
A telemetry system has to transmit messages to indicate the status of an electricity generator. To transmit a message, the modem generates 5 binary symbols (bits). (A symbol can be either 0 V or +5 V.)
How many different messages can it transmit?
Another modem uses ternary signaling to do the task described in problem 2. To transmit a message, the modem generates 5 ternary symbols. (A symbol can be -5V, 0V or +5V.) How many different messages can it transmit?
Solution
A telemetry system has to transmit messages to indicate the status of an electricity generator. To transmit a message, the modem generates 5 binary symbols (bits). (A symbol can be either 0 V or +5 V.)
How many different messages can it transmit?
Solution:
You can think of it as case in which you have 5 vacant places and each place can take 2 values. Thus the total number of possible messages will be 25 or 32.
Another modem uses ternary signaling to do the task described in problem 2. To transmit a message, the modem generates 5 ternary symbols. (A symbol can be -5V, 0V or +5V.) How many different messages can it transmit?
In this case each of the vacant places described in above case can take 3 values. Thus the total number of possible messages will be 35 or 243.
