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El Naga's Transitions Technique And Its Advantages Compared To The Conventional

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2000 Annual Conference


St. Louis, Missouri

Publication Date

June 18, 2000

Start Date

June 18, 2000

End Date

June 21, 2000



Page Count


Page Numbers

5.250.1 - 5.250.10



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Nagi M. El Naga

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Halima Makady El Naga

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NOTE: The first page of text has been automatically extracted and included below in lieu of an abstract

Session #2793

El Naga’s Transitions Technique and its Advantages Compared to the Conventional Method of Designing Sequential Circuits

Nagi M. El Naga, Halima M. El Naga California State University, Northridge/California State Polytechnic University, Pomona


In most textbooks of logical circuits’ design, only one logical sequential circuits design method has been documented. In this paper, it will be referred to this method as the conventional or traditional method. This conventional method of designing sequential circuits does not provide a mean for the designer to check the correctness of his design until the implementation phase. In this case, if the design fails to do the desired function, the designer has to go through a debugging phase of both the design and the implementation, which could be a big waste of the designer time. In this paper, El Naga's Transitions technique, as a method of designing logical sequential circuit will be first introduced and its advantages compared to the conventional method are presented. This technique is based on the use of the four transitions: α, the transition from 0 to 1, β, the transition from 1 to 0, I, the transition from 1 to 1, and ϕ, the transition from 0 to 0. This technique provides the designer of logical sequential circuits with various testing algorithms that check the correctness of almost every step in the design procedure. If the provided testing algorithms are followed after each step of the design, the final design will almost be error free. The testing algorithms are presented and discussed.

Although, asynchronous counters have been discussed in almost every logical circuits design textbook, they all failed to provide the readers with a systematic procedure to design them. This is due to the fact that the conventional method lacks the means to provide such procedure. Based on El Naga's Transitions technique presented in this paper, a systematic procedure to design asynchronous counters can be driven.

I. Introduction

In this section, a design of a simple synchronous sequential circuit, a sequencer, using the traditional method will be presented and its disadvantages will then be discussed. Starting the design from the state table shown in Figure 1, the design steps using the traditional method are as follows:

El Naga, N. M., & El Naga, H. M. (2000, June), El Naga's Transitions Technique And Its Advantages Compared To The Conventional Paper presented at 2000 Annual Conference, St. Louis, Missouri. 10.18260/1-2--8330

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