答疑时间:周四下午2:30~5:30 地点:西主楼4区210室 习题1 2-1(a),2-2(b),2-3(c),2-6(c) 3-1,3-2(a),3-3(b),3-4(c),3-5(d),3-9(a) 请用VHDL语言描述与或非门和异或门
答疑时间:周四下午2:30~5:30 地点:西主楼4区210室 习题1 2-1(a), 2-2(b), 2-3(c), 2-6(c) 3-1,3-2(a), 3-3(b), 3-4(c), 3-5(d), 3-9(a) 请用VHDL语言描述与或非门和异或门
2-1(a)(12.062)10=(100001舍入误差<28 2-2(b)(10111.010)2=25+23+22+222+2<(A63125) 23()(6237)86×82+2×81+3×8+7×81+780 (403984375)10 =(11001001111238 =(110010012 =(000110010011111100216 =(193FC)16 26(c)(0011010001110001)210=(3471)10
2-1(a) (12.062)10=(1100.00001111)2 舍入误差<2-8 2-2(b)(101110.0101)2=25+23+22+21+2-2+2-4=(46.3125)10 2-3(c)(623.77)8=6×8 2+2×8 1+3×8 0+7×8 -1+7×8 -2 =(403.984375)10 =(110 010 011.111 111)2-8 =(110010011.111111)2 =(0001 1001 0011.1111 1100)2-16 =(193.FC)16 2-6(c)(0011 0100 0111 0001)2-10 =(3471)10
三个控制开关A,B,C,有动作为1,A 无动作为0,通道灯的状态Y有变B Y 化为1,无变化为0 C A B C A00 cY 001 B0011001 0 Y 111 01001 Y=ABC+ABC+ABC+ABC=ABoC 3-1能从三处分别独立进行控制的通道灯电路
3-1 能从三处分别独立进行控制的通道灯电路 A B Y C 三个控制开关A,B,C,有动作为1, 无动作为0,通道灯的状态Y有变 化为1,无变化为0 A B C Y 0 0 0 0 0 0 1 1 0 1 0 1 0 1 1 0 1 0 0 1 1 0 1 0 1 1 0 0 1 1 1 1 Y = ABC + ABC + ABC + ABC = A B C Y + _ A B C
3-2(a)求反函数,并化简 Y=(BC + AD(AB+CD) Y=(B+C)(A+D)+(A+B)(C+D) ab+bd+ ac +cd+ a- c+ ad+bc t bd =AB+Ac+bc+cd+ac +ad+bd+bd abC+ bc+Cd+Acd+bd+BD =A+BC+cd+a+bd+ bd =1+bC +cd+bd+Bd 1
3-2(a) 求反函数,并化简 1 1 ( )( ) ( )( ) ( )( ) = = + + + + = + + + + + = + + + + + = + + + + + + + = + + + + + + + = + + + + + = + + BC CD BD BD A BC CD A BD BD ABC BC CD ACD BD BD AB AC BC CD A C AD BD B D AB B D AC CD A C AD BC BD Y B C A D A B C D Y BC AD AB CD
3-3(b)写成最大项和最小项的形式 FW, X,Y,2=YZ+WXY+WXZ+w. X. Z (WX+WX+Wx+W·X)Y2+WYY(Z+2)+WX(Y+Y)Z+W·X·(Y+Y)z WXYZ+W.Z+WXYZ+W.X.YZ+WXY.2+WXY2+W.X.YZ =m13+m+ms+m1+m12+m14+m3 ∑m,i=1.39121314 =M,k=0.246,7:810115 (W+X+Y+ow+X+Y+ZO+X+Y+2) +X+Y+Zw+X+r+Zo+X+r+2) (W+X+r+Z +X+r+z)(w+X+r+2) 3-4(c)变换成另一种形式 F(¥,Y,Z)=∏M(O,3,6,7)=∑m(1,2,4
3-3(b) 写成最大项和最小项的形式 ( )( )( ) ( )( )( ) ( )( )( ) , 0,2,4,6,7,8,10,11,15 , 1,3,5,9,12,13,14 ( ) ( ) ( ) ( ) ( , , , ) 1 3 9 5 1 1 2 1 4 3 W X Y Z W X Y Z W X Y Z W X Y Z W X Y Z W X Y Z W X Y Z W X Y Z W X Y Z M k m i m m m m m m m WXYZ WX YZ WXYZ W X YZ WXY Z WXYZ W X YZ WX WX WX W X YZ WXY Z Z WX Y Y Z W X Y Y Z F W X Y Z YZ WXY WXZ W X Z k i + + + + + + + + + + + + + + + + + + = + + + + + + + + + = = = = = + + + + + + = + + + + + + = + + + + + + + + + = + + + 3-4(c) 变换成另一种形式 F(X,Y,Z) = M(0,3,6,7) = m(1,2,4,5)