1、基于 2-5 混值编码的十值乘法器(?B?L)JournalofEastChinaUniversityofScienceandTechnology(NaturalScienceEdition)Vol.32No.82006208?B?K?8:2005206208?:?B?(60273093);?(?B?(Y104135)?u?V(662),?x,?k?c?,?,?8,?i?p?r?y?I)2j?N?I?,2I?I?c?:100623080(2006)0821002205?2-5?b?c?(?b?V1,2,I?I?2,I?1(1.?Y?p?C?y?w,?315211;2.?.?r?Y?C?E?,?
2、f?200237)I?I?:?N?b?D?c?(?P?y?,?225?b?c?(?L?l?L?B?(,?b?c?(?L?I100%I)?225?b?c?(?L,?8?T?,?225?b?T?D?h?p?;?G?8?b?,?4?1T?,?225?b?PSPICE9.0?E,?10.5mCMOS?,?w?p?H?6?,?D?YI)?%?:225?b?c?(;T?;?b?;?p?-?r?:TN79?%?n?(:ATen-ValuedMultiplicationBasedon2-5Mixed-ValuedCodingWANGPeng2jun1,2,I?HUANGDao2,I?YUJun2jun1(1.
3、InstituteofCircuitsandSystems,NingboUniversity,Ningbo315211,China;2.SchoolofInformationScienceandEngineering,EastChinaUniversityofScienceandTechnology,Shanghai200237,China)Abstract:Thispaperfindsoutthe225mixed2valuedcodingmethodcaneffectivelyrestrainredundantstates,andobtain100%codingefficiencyforon
4、ebitten2valuedsignalbystudyingten2valuedlogiccodingtechnique.Firstthe225mixed2valuedcodingmethodisproposed.Thefunctionexpressionandcircuitstructureof225mixed2valued?ten2valuedTgatearederivedusingToperations.Then,the225mixed2val2ued?ten2valuedmultiplicationisdesignedusingthetruthtablesandTgates.Final
5、ly,theabovedesignedcircuitsaresimulatedinthecomputerbyPSPICE9.0using0.5mCMOStechnology.Theresultsprovethatthedesignedcircuitshavecorrectlogicfunctions.Keywords:225mixed2valuedcoding;Tgate;ten2valuedmultiplication;circuitdesignI?I?f?D?,?H?o?r?y?,?-?,?y?H?N?b?p?y?I)?y?i?t?U?i?p?R?C?S?N?,?U?,?s?y?H?1?,
6、?8?0?N?s?8?,?y?h?k?C?1?P?t?s?1I)?N?b?D?p?y?Y?N?l?b?b?p?N?b?D?1?7,?b?D?p?y?UI)?f,?W?8?D?-?B?,?s?b?D?C?!?I)?b?D?p?t?p?p?,?s?y?a?b?!?I)?H?a?r?b?D?p?,?%3?l?L?23?b?c?(?b?I)?L?1?,?l?b?,?b?B?,?m?3?,?H2001?:19Email::Email:2123?2?2,?12?,?(,?c?(?L?H10?12=83.33%I)?1?l?b?c?(,?g?l?l?b?,?H?(?H33,?l17?,?(,?c?(?L?H
7、10?27=37.04%,?t?G?i?p?,?s?y?r?p?YI)?1225?b?D?1?g?i?B?c?(,?c?(?L?I100%I)?225?b?c?(?!,?4?1T?,?225?b?T?225?b?1I?225?b?c?(?CT?H?H?b?,?4?1225?b?c?(,?b?b?,?1?w?HI)?-a2?H?b?(0,4),a5?H?b?(0,1,2,3,4),?b?a2?D?b4?b?a5?D?b4?w?p?kI)a2a5?i?c?(?L?C?-?,?H?c?(,?e?w?,?y?l?=I(?k?Y1I)?1?225?b?c?(?l?(,?c?(?L?I100%I)?1I?
8、225?b?c?(Table1I?225Mixed2valuedcodingTa2a5Ta2a5000540101641202742303843404944I?I?H?r?C?b?,?1?%1?n?bT?p?I)n?bT?k?E:?s=i?,T(x0,x1,:?,xn-1;s)=x0s0+x1x1+:?+xisi+:?+xn-1sn-1=xi,?-s?H?B?,xi?H?,si?H?I)?H?U?p?w?1T?I)?N?W?1?T?c?,?c?g8?E:(1)?,T?o?x,?,T?(?,?rT?H?;()?7?,?c?7?,?fT?s,?g?1?,T?I)?1T?N?b?H:?L?G?N?b
9、?h?c?d?8?b?,?B?C?l?c?c?,?C?D?D?p?I)2I?225?b?T?G?T?k?225?b?T?I)?r?b?a2?b?a5?H?B?,?b?T?H?(?-x0I(x1I(:?I(x9?H?b?D?p?),?G?225?b?c?(?g,?I:T=Tx0,x1,:?,x9;a5,a2=x0a20a5 0+x1a20a51+x2a20a52+x3a20a53+x4a20a54+x5a24a5 0+x6a24a5 1+x7a24a52+x8a24a53+x9a2 4a54(1)?m?h(1)?,?T?L?b?a?I(?b?a?b?I(?b?I)?m?%9?10?p?l?0?r
10、?,?225?b?a?,?a2?H?b?,a5?H?b?,y20I(y24?r?j?Ha2?k?0I(4?,y50I(y5 1I(y5 2I(y53I(y54?r?j?Ha5?k?0I(1I(2I(3I(4?I)?g?l:I?y20=0?a24+4?a20=0a2?4a:?2;(2)I?y24=4?a2 4+0?a2 0=4a 2?0a 2(3)I?y50=0?a51234+4?a50=0a51234?4a50=00.5a5?43.5a:?5(4)I?y51=0?a50234+4?a51=0a50234?4a51=0a500ca5 234?4a5 1=03.5a50c1.5a5?4a501234R=03.5a50c1.5a5?=4(5)I?y52=0?a50134+4?a52=0?a501+0?a534+4?a52=0a5010ca5 34?4a5 2R=0a5010ca534?4a501234R=02.5a50c2.5a5?=4(6)I?y53=0?a50124+4?a53=0a50124?4a5
