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A.S. Wojcik, G. Metze, "On the Cost of Base N Adders," IEEE Transactions on Computers, vol. 20, no. 10, pp. 11961203, October, 1971.  
BibTex  x  
@article{ 10.1109/TC.1971.223105, author = {A.S. Wojcik and G. Metze}, title = {On the Cost of Base N Adders}, journal ={IEEE Transactions on Computers}, volume = {20}, number = {10}, issn = {00189340}, year = {1971}, pages = {11961203}, doi = {http://doi.ieeecomputersociety.org/10.1109/TC.1971.223105}, publisher = {IEEE Computer Society}, address = {Los Alamitos, CA, USA}, }  
RefWorks Procite/RefMan/Endnote  x  
TY  JOUR JO  IEEE Transactions on Computers TI  On the Cost of Base N Adders IS  10 SN  00189340 SP1196 EP1203 EPD  11961203 A1  A.S. Wojcik, A1  G. Metze, PY  1971 KW  Adders KW  binarycoded logic KW  cost analysis KW  cost functions KW  multivalued logic KW  multivalued switching theory KW  Post algebras. VL  20 JA  IEEE Transactions on Computers ER   
The use of Nvalued logics in the design of base N adder circuits is considered. Two types of Nvalued logics are examined, Post Nvalued logics and binarycoded Nvalued logics. Specific implementations of these nonbinary logics are discussed. General formulas for the sum and carry functions of an adder are established in order to calculate the cost of base N adder stages using the Post logics. Relative costs of the base N adders using both types of Nvalued logics are discussed in terms of a cost function. It is shown that for the model used, the binarycoded logics yield adders that have, in general, lower relative cost than comparabloe adders based on the Post logics, and that base 2 adders have a lower relative cost than the base N adders.
Index Terms:
Adders, binarycoded logic, cost analysis, cost functions, multivalued logic, multivalued switching theory, Post algebras.
Citation:
A.S. Wojcik, G. Metze, "On the Cost of Base N Adders," IEEE Transactions on Computers, vol. 20, no. 10, pp. 11961203, Oct. 1971, doi:10.1109/TC.1971.223105
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