@article{ART001672604},
author={Eungi Kim},
title={Multi-Level Groupings of Minterms Using the Decimal-Valued Matrix Method},
journal={Journal of The Korea Society of Computer and Information},
issn={1598-849X},
year={2012},
volume={17},
number={6},
pages={83-92},
doi={}
TY - JOUR
AU - Eungi Kim
TI - Multi-Level Groupings of Minterms Using the Decimal-Valued Matrix Method
JO - Journal of The Korea Society of Computer and Information
PY - 2012
VL - 17
IS - 6
PB - The Korean Society Of Computer And Information
SP - 83
EP - 92
SN - 1598-849X
AB - This paper suggests an improved method of grouping minterms based on the Decimal-Valued Matrix (DVM) method. The DVM is a novel approach to Boolean logic minimization method which was recently developed by this author. Using the minterm-based matrix layout, the method captures binary number based minterm differences in decimal number form. As a result, combinable minterms can be visually identified. Furthermore, they can be systematically processed in finding a minimized Boolean expression. Although this new matrix based approach is visual-based, the suggested method in symmetric grouping cell values can become rather messy in some cases. To alleviate this problem, the enhanced DVM method that is based on multi-level groupings of combinable minterms is presented in this paper. Overall, since the method described here provides a concise visualization of minterm groupings, it facilitates a user with more options to explore different combinable minterm groups for a given Boolean logic minimization problem.
KW - Karnaugh Map;Quine-McCluskey;Minterm;Prime Implicant
DO -
ER -
Eungi Kim. (2012). Multi-Level Groupings of Minterms Using the Decimal-Valued Matrix Method. Journal of The Korea Society of Computer and Information, 17(6), 83-92.
Eungi Kim. 2012, "Multi-Level Groupings of Minterms Using the Decimal-Valued Matrix Method", Journal of The Korea Society of Computer and Information, vol.17, no.6 pp.83-92. Available from: doi:
Eungi Kim "Multi-Level Groupings of Minterms Using the Decimal-Valued Matrix Method" Journal of The Korea Society of Computer and Information 17.6 pp.83-92 (2012) : 83.
Eungi Kim. Multi-Level Groupings of Minterms Using the Decimal-Valued Matrix Method. 2012; 17(6), 83-92. Available from: doi:
Eungi Kim. "Multi-Level Groupings of Minterms Using the Decimal-Valued Matrix Method" Journal of The Korea Society of Computer and Information 17, no.6 (2012) : 83-92.doi:
Eungi Kim. Multi-Level Groupings of Minterms Using the Decimal-Valued Matrix Method. Journal of The Korea Society of Computer and Information, 17(6), 83-92. doi:
Eungi Kim. Multi-Level Groupings of Minterms Using the Decimal-Valued Matrix Method. Journal of The Korea Society of Computer and Information. 2012; 17(6) 83-92. doi:
Eungi Kim. Multi-Level Groupings of Minterms Using the Decimal-Valued Matrix Method. 2012; 17(6), 83-92. Available from: doi:
Eungi Kim. "Multi-Level Groupings of Minterms Using the Decimal-Valued Matrix Method" Journal of The Korea Society of Computer and Information 17, no.6 (2012) : 83-92.doi:
