Abstract
The following optimal encoding problems may be defined: (A) Optimal encoding of inputs of a logic function. A problem in class A is the optimal assignment of opcodes for a microprocessor. (B) Optimal encoding of outputs of a logic function. (C) Optimal encoding of both inputs and outputs (or some inputs and some outputs) of a logic function. (D) Optimal encoding of both inputs and outputs (or some inputs and some outputs) of a logic function, where the encoding of the inputs (or some inputs) is the same as the encoding of the outputs (or some outputs). Encoding the states of a finite state machine (FSM) is a problem in class D since the state variables appear both as input (present state) and output (next state) variables. Another problem in class D is the encoding of the signals connecting two (or more) combinational circuits.
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