To divide the counters we will look at into two types: asynchronous and synchro- nous. When used with respect to counters' these adjectives describe whether the Alip-flops holding the states of the circuit are all clocked together (i.e. synchronously) by a master clock or rather asynchronously, with each flip-flop clocked by the one preceding it.
are also known as ripple counters;
are very simple;
use the minimum possible hardware (logic gates);
employ flip-flops connected serially, with each one triggering (clocking)the next;
have an overall count which 'ripples'through, meaning the overall operation is relatively slow;
require virtually no design.
use interconnected flip-flops, but all are clocked together by the system clock;
use the outputs from the fip-flops, to determine the next states of the following flip-flops (rather than simply clocking them);
require no settling time due to rippling (as all fip-flops are clocked synchro- nously);
need designing, to determine how the present state of the circuit must be used to determine the next state (i.e. count);
usually need more logic gates for their implementation.
Although we will not consider such circuits it is possible to design hybrid asynchronous/synchronous counters (e.g. two synchronous four-bit counters connected asynchronously to produce an eight-bit hybrid) that possess some of the advantages of both types and which are appropriate in some applications.
Due to their universal use in logic circuits, counters are widely available as logic elements in a wide range of forms. These often include clear and preset facilities (which can be used to load a particular count state), and up-down counts available within the same device. Because the design of binary counters is largely intuitive the approach we will take is to firstly consider simple circuits that act as mod-2n counters, and then how they must be modified to produce a general mod-N count.