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ð 21 Þ
Comparing Eqs. ( 20 ) and ( 21 ), it can be seen that the proposed method uses 6
levels and 37 majority gates while the method in [ 15 ] uses 9 levels and 46 gates. The
number of levels is reduced by 33.3 % and the number of gates used is reduced by
19.6 %. The circuit diagrams for the results obtained by both methods are shown in
Figs. 18 and 19 .
More benchmark comparisons are provided in Table 2 . It can be seen that on
average, there is 8.13 % reduction in terms of majority gates and 7.94 % reduction in
terms of logic levels by the proposed method as compared to the best existing
method [ 15 ].
 
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