Counting and Counters by R. M. M. Oberman (auth.)
By R. M. M. Oberman (auth.)
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Extra resources for Counting and Counters
This up-down count can be performed in two different ways. (i) The pulse source is single so that a gate circuit is required to switch over from up-count to down-count and vice versa. (ii) There are two pulse sources, one for up-count and one for down-count. Single pulse source There are two different ways to change the operation of this type of counter from up-count into down-count and vice versa. (i) Complement the variables in the switching equations of all counter flip-flops. (ii) Use separate add-l subtract-l circuits which have to be enabled by an UjD signal (up-down signal).
Single pulse source There are two different ways to change the operation of this type of counter from up-count into down-count and vice versa. (i) Complement the variables in the switching equations of all counter flip-flops. (ii) Use separate add-l subtract-l circuits which have to be enabled by an UjD signal (up-down signal). BINARY COUNTERS 35 Both types of circuit can be found in the commercially available counter circuits. An example of the first type of circuit is the SN74LS169A binary counter.
B) Check whether or not the switching equations for the J and K inputs of each flip-flop can be made equal without too many complications. In that case T flip-flops can be used. This procedure will automatically yield a correct operating counter circuit, but it is possible that after completion of the circuit the designer will still have no insight into the algorism behind its operation. The design of a 4-bit synchronous binary counter via four pairs of Karnaugh maps will now be worked out. The flip-flops to be used are J-K flip-flops.