Published August 1998 | public
Book Section - Chapter

Efficient digital to analog encoding

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Abstract

An important issue in analog circuit design is the problem of digital to analog conversion, namely, the encoding of Boolean variables into a single analog value which contains enough information to reconstruct the values of the Boolean variables. Wegener (1996) proved that [3n-1/2] 2-input arithmetic gates are necessary and sufficient for implementing the encoding function of n Boolean variables. However, the proof of the upper bound is not constructive. We present an explicit construction of a digital to analog encoder that is optimal in the number of 2-input arithmetic gates.

Additional Information

© 1998 IEEE. Date of Current Version: 06 August 2002. Supported in part by a National Science Foundation Graduate Research Fellowship, by NSF Young Investigator Award CCR-9457811 and by a Sloan Research Fellowship.

Additional details

Created:
August 19, 2023
Modified:
October 24, 2023