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Issue No.08 - August (1980 vol.29)
pp: 737-738
P. Klein , Department of Mathematics, University of Bielefeld
Let gk:{0,1}n+k ? {0,1}, where n = 2k, be the binary function defined by gk(a1,???, ak, X0,???, xn-1) = x(a) where (a) is the natural number with binary representation a1,???, ak. This function models the reading operation in a random-access storage. In [1] Paul proved a 2n lower bound to the combinational complexity of gk. This correspondence derives a realization for gk in a circuit with 2n + 0(vn) gates and a depth asymptotic to k.
combinational complexity, Boolean function
P. Klein, M.S. Paterson, "Asymptotically Optimal Circuit for a Storage Access Function", IEEE Transactions on Computers, vol.29, no. 8, pp. 737-738, August 1980, doi:10.1109/TC.1980.1675657
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