1. Determine the number of conditions possible for a binary code containing the following

      number of bits:

      a. 3

      b. 5

      c. 7

      d. 12

2. Determine the highest bit rate possible for a circuit propagating a four-bit binary code with a

      bandwidth of 10,000 Hz.

1. Determine the minimum Nyquist rate for a maximum analog input frequency of the following:

    a. 4 kHz

    b. 10 kHz

    c. 7 kHz

            = minimum Nyquist sample rate (Hz)

            = maximum analog input frequency (Hz)

3. For the following sample rates, determine the maximum analog input frequency.

    a. 20kHz

    b. 8kHz

    c. 6kHz

4. For a resolution of 0.004 V, determine the voltages for the following linear seven-bit PCM

    codes:

    a. 0110101

    b. 0000011

    c. 1000001

    d. 0111111

    e. 1000000

Determine the information capacity in bps for a circuit with a 100-kHz bandwidth and a                  

      signal-to-noise ratio of 40 db (10,000).

            Shannon limit for information capacity:

signal to noise ratio, SNR = 20 dB or 10000

S/N = 10000

B = 100 kHz

C = 1328785.66 bps