01.09.2005 - domasna
description
Transcript of 01.09.2005 - domasna
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1.
a) (10100111.1)2 -> (167.5)10
10100111.1 = 27 + 2
5 + 2
2 + 2
1 + 2
-1 = 167.5
b) (1011 0111 1111)2 = (B7F)16
11 7 5
2.
f1=x1x2+x1x3x4+x1x2x3+x1x2x4 f2=x1x2+x1x3+x1x3x4+x1x2x3x4
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f3=x2x4+x2x3+x2x3x4 f4 =x3
PLA:
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3.
I0=x1x2x2x3=0 I1=x1x2x2x3=0
I2=x1x2x2x3=x1x2x3 I3=x1x2x2x3=x1x2x3
A1=I3 XOR x4
A2 =(A1+I2+I1) = A1I2I1 = A1I2*1=A1I2
f=A2+I0 = A2+0 = A2 = A1I2 = (I3 XOR x4)(x1x2x3) =
= (I3x4+I3x4)(x1+x2+x3)=(x1x2x3x4+(x1+x2+x3)x4)(x1+x2+x3)=
= (x1x2x3x4+x1x4+x2x4+x3x4)(x1+x2+x3) =
= x1x2x3x4+ x1x4+x1x2x4+x1x3x4+x1x2x4+x2x4+x2x3x4+
+x1x3x4+x2x3x4 = x1x2x3x4 + x1x4(1+x3+x3+x2)+x2x4(1+x3+x3)=
= x1x2x3x4 + x1x4+ x2x4 =
= x1x2x3x4 + x1x2x4+ x1x2x4+ x1x2x4+ x1x2x4 =
= x1x2x3x4 +x1x2x3x4+x1x2x3x4+ x1x2x3x4+ x1x2x3x4+
+x1x2x3x4+x1x2x3x4 ;
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4.
Q1Q2Q3 X D1 D2 D3
0 1 X=0 X=1 X=0 X=1 X=0 X=1
A->000 000,0 001,1 0 0 0 0 0 1
B->001 000,0 010,0 0 0 0 1 0 0
C->010 011,0 010,0 0 0 1 1 1 0
D->011 000,0 100,0 0 1 0 0 0 0
E->100 000,0 101,1 0 1 0 0 0 1
F->101 011,1 001,1 0 0 1 0 1 1
0 1
A A,0 B,0
B A,0 C,0
C D,0 C,0
D A,0 E,0
E A,0 F,1
F D,1 B,1
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x Q1Q2Q3 Q1+Q2
+Q3
+,Z D1 D2 D3
0 000 000.0 0 0 0
0 001 000.0 0 0 0
0 010 011.0 0 1 1
0 011 000.0 0 0 0
0 100 000.0 0 0 0
0 101 011.1 0 1 1
0 110 b b b b
0 111 b b b b
1 000 001.1 0 0 1
1 001 010.0 0 1 0
1 010 010.0 0 1 0
1 011 100.0 1 0 0
1 100 101.1 1 0 1
1 101 001.1 0 0 1
1 110 b b b b
1 111 b b b b
D1 = xQ2Q3 + xQ1Q3 D2 = xQ1Q2Q3 + xQ1Q3 + Q2Q3
D3 = xQ2Q3 + xQ2Q3 + Q1Q3 Z= xQ2Q3 + Q1Q3
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5.
Q5 Q4 Q3 Q2 Q1
0 0 0 0 0 0
1 0 0 0 0 1
2 0 0 0 1 1
3 0 0 1 1 1
4 0 1 1 1 1
5 1 1 1 1 1
6 1 1 1 1 0
7 1 1 1 0 0
8 1 1 0 0 0
9 1 0 0 0 0
0 0 0 0 0 0