, -

2.

1234

5678

(18) (28) (38) (48)

(17) (27) (37) (47)

(16) (26) (36) (46)

(15) (25) (35) (45)

38 47 Y7 1

0 0 0 0

0 1 1 0

1 0 1 0

1 1 0 1

Y7 = ( + b) + (a + b); a = x3x8; b = x4x7 P1 = ab

a b c P1 P2 Y6 P2 '

0 0 0 0 0 0 0

0 0 0 1 0 1 0

0 0 1 0 0 1 0

0 0 1 1 1 0 0

0 1 0 0 0 1 0

0 1 0 1 1 0 0

0 1 1 0 1 0 0

0 1 1 1 1 1 0

1 0 0 0 0 1 0

1 0 0 1 1 0 0

1 0 1 0 1 0 0

1 0 1 1 1 1 0

1 1 0 0 1 0 0

1 1 0 1 1 1 0

1 1 1 0 1 1 0

1 1 1 1 0 0 1

ϳ Y6 = (cp1 + cp1) (ab + ab) + (cp1 + cp1) (ab + ab)

P2 = a (bp1 + bp1) + p1 (bc + bc) + abc a = x2x8; b = x3x7; c = x4x6

P2 '= abcp1

a b c d P2 P3 Y5 P3 '

0 0 0 0 0 0 0 0

0 0 0 0 1 0 1 0

0 0 0 1 0 0 1 0

0 0 0 1 1 1 0 0

0 0 1 0 0 0 1 0

0 0 1 0 1 1 0 0

0 0 1 1 0 1 0 0

0 0 1 1 1 1 1 0

0 1 0 0 0 0 1 0

0 1 0 0 1 1 0 0

0 1 0 1 0 1 0 0

0 1 0 1 1 1 1 0

0 1 1 0 0 1 0 0

0 1 1 0 1 1 1 0

0 1 1 1 0 1 1 0

0 1 1 1 1 0 0 1

1 0 0 0 0 0 1 0

1 0 0 0 1 1 0 0

1 0 0 1 0 1 0 0

1 0 0 1 1 1 1 0

1 0 1 0 0 1 0 0

1 0 1 0 1 1 1 0

1 0 1 1 0 1 1 0

1 0 1 1 1 0 0 1

1 1 0 0 0 1 0 0

1 1 0 0 1 1 1 0

1 1 0 1 0 1 1 0

1 1 0 1 1 0 0 1

1 1 1 0 0 1 1 0

1 1 1 0 1 0 0 1

1 1 1 1 0 0 0 1

1 1 1 1 1 0 1 1

ϳ :

Y5 = (dp2 + dp2) (a (bc + bc) + a (bc + bc)) + (dp2 + dp2) c (ab + ab)

P3 = bd (ac + ac) + cp2 (ac + ab) + ab (cp2 + cp2) + dp2 (ab + ab) + abcp2

P3 = bd (ac + ac) + cp2 (ad + ad) + (ab + ab) (dp2 + cp2) + abcp2 a = x1x8; b = x2x7; c = x3x6; d = x4x5

A b c P2 'P3 P4 Y4 P4'

0 0 0 0 0 0 0 0

0 0 0 0 1 0 1 0

0 0 0 1 0 0 1 0

0 0 0 1 1 1 0 0

0 0 1 0 0 0 1 0

0 0 1 0 1 1 0 0

0 0 1 1 0 1 0 0

0 0 1 1 1 1 1 0

0 1 0 0 0 0 1 0

0 1 0 0 1 1 0 0

0 1 0 1 0 1 0 0

0 1 0 1 1 1 1 0

0 1 1 0 0 1 0 0

0 1 1 0 1 1 1 0

0 1 1 1 0 1 1 0

0 1 1 1 1 0 0 1

1 0 0 0 0 0 1 0

1 0 0 0 1 1 0 0

1 0 0 1 0 1 0 0

1 0 0 1 1 1 1 0

1 0 1 0 0 1 0 0

1 0 1 0 1 1 1 0

1 0 1 1 0 1 1 0

1 0 1 1 1 0 0 1

1 1 0 0 0 1 0 0

1 1 0 0 1 1 1 0

1 1 0 1 0 1 1 0

1 1 0 1 1 0 0 1

1 1 1 0 0 1 1 0

1 1 1 0 1 0 0 1

1 1 1 1 0 0 0 1

1 1 1 1 1 0 1 1

ϳ :

Y4 = (p2'p3 + p2'p3) (abc + abc + abc) + ap2'p3 (bc + bc) + abcp2 '+ abcp2'p3

P4 = (p2 '+ p3) b (ac + ac) + abc (p2' + p3) + abp (p2 '+ c) + abc (p2' + p3) + abcp2'p3

P4 '= p2'p3 (bc + ac + ab) + abc (p2' + p3) a = x1x7; b = x2x6; c = x3x5

A b P3 'P4 P5 Y3

0 0 0 0 0 0

0 0 0 1 0 1

0 0 1 0 0 1

0 0 1 1 1 0

0 1 0 0 0 1

0 1 0 1 1 0

0 1 1 0 1 0

0 1 1 1 1 1

1 0 0 0 0 1

1 0 0 1 1 0

1 0 1 0 1 0

1 0 1 1 1 1

1 1 0 0 1 0

1 1 0 1 1

1 1 0 1 1

1 1 1 1 0 0

ϳ :

Y3 = (ab + ab) (p3'p4 + p3'p4) + (ab + ab) (p3'p4 + p3'p4)

P5 = p4b (a + p3 ') + b (ap3' + p3'p4 + ap4)

a = x1x6; b = x2x5

A P4 'P5 P6 Y2

0 0 0 0 0

0 0 1 0 1

0 1 0 0 1

0 1 1 0

1 0 0 0 1

1 0 1 1 0

1 1 0 1 0

1 1 1 1 1

ϳ :

Y2 = p4 '(ap5 + ap5) + p4' (ap5 + ap5)

P6 = p4'p5 + a (p4 '+ p5) a = x1x5

Y1 = P6 = p4'p5 + a (p4 '+ p5)

Y8 = x4x8

1.

: 1. ? (t + 1) = 2?t + P (t)

2. , 6.

3. "11"

1 2 3 4 ??5

11 0 1 0 1 1

22 1 0 1 1 0

12 0 1 1 0 0

24 1 1 0 0 0

16 1 0 0 0 0

0 0 0 0 0 0

1 0 0 0 0 1

3 0 0 0 1 1

6 0 0 1 1 0

13 0 0 1 1 0

26 0 1 1 0 1

20 1 1 0 1 0

8 0 1 0 0 0

16 1 0 0 0 0

0 0 0 0 0 0

: "1" "3" "6" "13" "26" "20" "8" "16"

= 12345 + 12345 + 12345 = 1345 (2 + 2) + 12345 =

= (1 + 3 + 4 + 5) + (1 + 2 + 3 +

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