[Solved] One Properties Johnson Counter Decoding Circuitry Simpler Decoding Circuitry Normal Ripple Q37217978
- One of the properties of a Johnson counter is that the decodingcircuitry is simpler than
the decoding circuitry for a normal ripple counter. In fact, fora 3-bit Johnson counter, we only have to analyze two of the threebits in order to determine what state the counter is in. Because ofthe abnormal counting sequence, however, decoding this counter doesNOT mean that we are trying to determine what binary number thecounter is holding – we are only trying to determine what statenumber the counter is in. The startup state is <000> andtherefore we count that as state “0”. The next state will be<100> and this is considered to be state “1” (although 100 isnot the binary number for the decimal number 1). The next state iscounted as state “2”, and so on.
The parallel wires to the left of the AND gates are the normal andinverted outputs of each of the flip-flops. Connect the AND gateinputs as necessary to the counter ouputs so that they properlydecode the six states of this counter. If you have done thiscorrectly, the six LEDs, which are connected to the AND gates,should illuminate one after another in sequential order from top tobottom as the counter increments.
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