# Accession Number:

## AD0258579

# Title:

## SOLID-STATE LOGICAL TRANSDUCERS

# Descriptive Note:

# Corporate Author:

## OHIO STATE UNIV RESEARCH FOUNDATION COLUMBUS

# Personal Author(s):

# Report Date:

## 1961-02-01

# Pagination or Media Count:

## 1.0

# Abstract:

ONE CENTRAL PROBLEM IN SWITCHING FUNCTION THEORY IS THE CLASSIFICATION OF ALL BINARY SWITCHING FUNCTIONS OF A GIVEN NUMBER OF INPUT VARIABLES INTO EQUIVALENCE CLASSES BY REARRANGEMENT AND NEGATION OF THE INPUT VARIABLES. Several theorems describing properties of the switching functions which result in various types of symmetries of the functions under input rearrangement and negation are presented. The analysis is based on the representation of the switching function in terms of set of vectors from a finite dimensional vector space over the field of integers modulo 2. This approach makes use of the properties of the groups of transformations on the vector space which are related to the input rearrangements and negations. One type of solid-state logic unit investigated was the field-effect transistor with 2 control gates located concentrically around the source terminal. Another approach to the problem of realizing multiple input logic functions is to employ 4-layer diodes coupled internally in a single piece of semiconductor. A number of 4-layer diodes were fabricated and tested with external coupling. Author