GRAPHICAL-METHOD FOR THE CONVERSION OF MINTERMS TO REED-MULLER COEFFICIENTS AND THE MINIMIZATION OF EXCLUSIVE-OR SWITCHING-FUNCTIONS

被引:37
作者
TRAN, A
机构
[1] Univ of Lowell, Lowell, MA, USA, Univ of Lowell, Lowell, MA, USA
来源
IEE PROCEEDINGS-E COMPUTERS AND DIGITAL TECHNIQUES | 1987年 / 134卷 / 02期
关键词
LOGIC CIRCUITS - Design;
D O I
10.1049/ip-e.1987.0016
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
A graphical method extended from a folding technique developed by Wu et al. is used to convert the minterms of a switching function to the coefficients of its Reed-Muller polynomial with fixed polarity. The conversion starts from a Karnaugh map and results in a Reed-Muller coefficient map. An algorithm which finds a minimal exclusive-OR realization for the switching function in mixed polarity by grouping the Reed-Muller coefficient map is presented. The graphical method of converting minterms to Reed-Muller coefficients and the minimization algorithms are applied to incompletely specified functions. (Edited athor abstract)
引用
收藏
页码:93 / 99
页数:7
相关论文
共 9 条
[1]   EFFICIENT COMPUTER METHOD FOR EXOR LOGIC DESIGN [J].
BESSLICH, PW .
IEE PROCEEDINGS-E COMPUTERS AND DIGITAL TECHNIQUES, 1983, 130 (06) :203-206
[2]  
BIOUL G, 1973, PHILIPS RES REP, V28, P17
[3]   MINIMIZATION OF EXCLUSIVE OR AND LOGICAL EQUIVALENCE SWITCHING CIRCUITS [J].
MUKHOPADHYAY, A ;
SCHMITZ, G .
IEEE TRANSACTIONS ON COMPUTERS, 1970, C 19 (02) :132-+
[4]  
PAPAKONSTANTINOU G, 1979, IEEE T COMPUT, V28, P163, DOI 10.1109/TC.1979.1675308
[5]   EASILY TESTABLE REALIZATIONS FOR LOGIC FUNCTIONS [J].
REDDY, SM .
IEEE TRANSACTIONS ON COMPUTERS, 1972, C 21 (11) :1183-+
[6]  
ROBINSON JP, 1982, IEEE T COMPUT, V31, P800, DOI 10.1109/TC.1982.1676087
[7]  
SALUJA KK, 1979, IEEE T COMPUT, V28, P535, DOI 10.1109/TC.1979.1675401
[8]   MAPPING OF REED-MULLER COEFFICIENTS AND THE MINIMIZATION OF EXCLUSIVE OR-SWITCHING FUNCTIONS [J].
WU, X ;
CHEN, X ;
HURST, SL .
IEE PROCEEDINGS-E COMPUTERS AND DIGITAL TECHNIQUES, 1982, 129 (01) :15-20
[9]  
Zhang Y. Z., 1984, IEE Proceedings E (Computers and Digital Techniques), V131, P177, DOI 10.1049/ip-e.1984.0035