Odd Binary Asynchronous Counters

This paper describes a general method for modifying conventional binary asynchronous counters such that the counting register advances by any desired odd integer for each received count. The pertinent design features of conventional additive and subtractive asynchronous counters are reviewed. Simplification of the design of a counter which advances by an odd integer is achieved through use of a set of alternately additive and subtractive subcounters. An example of the logical design of a counter which advances by 13 is presented.