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IEICE TRANSACTIONS on Information

Output Phase Optimization for AND-OR-EXOR PLAs with Decoders and Its Application to Design of Adders

Debatosh DEBNATH, Tsutomu SASAO

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Summary :

This paper presents a design method for three-level programmable logic arrays (PLAs), which have input decoders and two-input EXOR gates at the outputs. The PLA realizes an EXOR of two sum-of-products expressions (EX-SOP) for multiple-valued input two-valued output functions. We developed an output phase optimization method for EX-SOPs where some outputs of the function are minimized in the complemented form and presented techniques to minimize EX-SOPs for adders by using an extension of Dubrova-Miller-Muzio's AOXMIN algorithm. The proposed algorithm produces solutions with a half products of AOXMIN-like algorithm in 250 times shorter time for large adders with two-valued inputs. We also proved that an n-bit adder with two-valued inputs requires at most 32n-2+7n-5 products in an EX-SOP while it is known that a sum-of-products expression (SOP) requires 62n-4n-5 products.

Publication
IEICE TRANSACTIONS on Information Vol.E88-D No.7 pp.1492-1500
Publication Date
2005/07/01
Publicized
Online ISSN
DOI
10.1093/ietisy/e88-d.7.1492
Type of Manuscript
Special Section PAPER (Special Section on Recent Advances in Circuits and Systems--Part 1)
Category
Digital Circuits and Computer Arithmetic

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