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4. The rows of the map can obviously be identified in a similar way. 4 is referred to as the Karnaugh form. The particular form used is a matter of personal preference. The Karnaugh form probably assists in the construction of the map and labelling the cells although the author is of the opinion that the techniques described later for identifying logic functions from the map are understood more easily using the Veitch form. For this reason, all future maps used for deriving logic functions in the text will be labelled in the Veitch manner.

5 expresses a relationship between the four inputs A, 8, C, D to a system and the three outputs F, G and H. Use Karnaugh maps to derive appropriate simplified expressions for F, G and H. 5 A 0 0 0 0 0 0 0 0 8 0 c D 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 0 F 0 G 0 H 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 0 0 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 2 A logic system has four inputs A, 8, C and D. The logic levels of the inputs· represent a four-digit binary number with A as the most significant digit. The output F of the system is required to be 1 1f the number at the input is less than or equal to eight.

Restoring the inputs toR= 0, S = 0 will leave the system in the reset condition. In a similar manner, making the input stateR= 0, S = 1 forces the outputs to become Q = 1, Q = 0 and the bistable is then set. Restoring the input condition to R = 0, S = 0 leaves the system set with Q = 1. With R = 0, S = 0 therefore, observation of the logic level Q will tell us which of RandS was most recently a logical 1. The system 'remembers' the most recent event at this input. The situation R = 1, S = 1 has not been considered since this input is not normally regarded as appropriate for this type of system.

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