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On the Number of Negations Needed to Compute Parity Functions
Tetsuro NISHINO Jaikumar RADHAKRISHNAN
IEICE TRANSACTIONS on Information and Systems
Publication Date: 1995/01/25
Print ISSN: 0916-8532
Type of Manuscript: LETTER
Category: Algorithm and Computational Complexity
computational complexity, boolean circuit, parity function,
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We exactly determine the number of negations needed to compute the parity functions and the complement of the parity functions. We show that with k NOT gates, parity can be computed on at most 2k+11 variables, and parity complement on at most 2k+12 variables. The two bounds are shown to be tight.