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Multiplexer Knowledge
Recommended
Multiplexer is One of the More Useful Logic Functions
One of the more useful logic functions is the multiplexer. You can think of a multiplexer as a "voltage-controlled switch". A binary-encoded select input is used to choose one of a number of inputs and pass the value of the chosen input to the output. Although they could be formed from many logic gates, multiplexers are most easily implemented on the Nord Modular using X-Fade (Cross-Fader) modules.
The following figure shows how to construct a 1-of-4 multiplexer on the Nord Modular. You could use these circuits in place of the 1-of-4 switches in the universal logic module patch, to obtain a voltage-controlled universal logic module. The multiplexer circuit works in a hierarchical fashion. The first select bit is fed into the fade control input of two X-Fade modules. This selects one of the two inputs to the X-Fade modules.
The outputs of the 2 X-Fade modules are then fed into another X-Fade module. The fade input of this module is controlled by the second select bit. This circuit can be extended to larger numbers of inputs, by adding more levels. The number of levels that is needed is given by the logarithm base 2 of the number of inputs (rounded up to the next integral value).
A Nord Modular implementation of a 4 to 1 multiplexer circuit using X-Fade modules
For example, if you had 12 inputs (which we do in the arpeggiator circuit described later in this chapter) you would need ceil(log_2(12))=4 levels. The last level always has one X-Fade module, the preceding level has two, and so on, increasing the number by a multiple of 2 for every level. Thus, for a 4-level circuit there would be a total of 1+2+4+8 = 15 X-Fade modules. Since, in our example, we only have 12 inputs, some (2 in this case) of the X-Fade modules in the first level can be deleted, as they will have no inputs.
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