Title : 
A Note on the Number of Internal Variable Assignments for Sequential Switching Circuits
         
        
            Author : 
McCluskey, E.J. ; Unger, S.H.
         
        
            Author_Institution : 
Dept. of Electrical Engineering, Princeton University, Princeton, N. J.
         
        
        
        
        
        
            Abstract : 
An important step in the synthesis of sequential switching circuits is the assignment of binary variable states to represent internal states of the circuit. A formula is derived here which indicates the number of different assignments which can be made for flow tables having a given number of rows. There are only three essentially different assignments possible for a four-row table, and there are 140 for a five-row table.
         
        
            Keywords : 
Circuit synthesis; Combinational circuits; Helium; Switching circuits;
         
        
        
            Journal_Title : 
Electronic Computers, IRE Transactions on
         
        
        
        
        
            DOI : 
10.1109/TEC.1959.5222055