I.

, .

- , "1", . "0" .

- , . , m , 2m . .

, K.. , .

, , m = log2 K., m .

:

: , , , .

, , ( ) .

: , , . K..

. .

, .

(K . = 2m) K . = 8. m = log2 8 = 3 , .

(. 13), xn 1, Q3n , Q1n .

13

xn

Q3n

Q2n

Q1n

Q3n+1

Q2n+1

Q1n+1

1

1

1

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1

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1

1

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, . , .

JK-, (. 40).

. 40. JK- ;

. .

, . , . , .

( ).

, , .

, .

, , .

K . = 8.

:

  1. m. m = log2 8 = 3.
  2. . 13.
  3. . Qin → Qin+1 n (. 41).
  4. , . 13 . Q1 , Q2 Q3 , Q1 01, Q2 Q3 00 ..

  5. , , JK-, . JK-, , , , (. 42).

, 01 JK- J = 1, K (* ), J1 , K1 ..

5. , , .

, , .

:

  1. , (. 43).

. 43. K . = 8

JK- ( 1551), J K R S .

.

, 13, :

J1 = K1 =1

J2 = K2 =

J3 = K3 = .

, , J K . , -.

- , , , .

, K.=8, , , . , , , , T.

:

K1 = J1 = 1,

J2 = K2 = TQ1 ,

J3 = K3 = TQ1 Q2,

. 44.

. 44. K . = 8

T = 1 T = 0.

, K . 2m, . (2m K .) . .

K . = 3.

  1. :
  2. .

    m .

  3. :
  4. 22 3 = 1

  5. , ,
  6. Q1 = Q2 = 1

  7. :
  8. , , , :
  9. (D-). D- , :
  10.  

    :

  11. (. 45):

. 45. K . = 3 D-

, 11 .

JK- :

J1 =, J2 = Q1 , K1 = K2 = 1,

. 46:

 

 

. 46. K . = 3 JK-

-

- K . = 10. , N = 2m K . = 24 10 = 6 . 6 16 , 76 106 .

, . . - .

- , , . , . :

- .

II.

- , . , . , , , . , ,

( ), ( ), - (, , ).

() , n , n .

- . ( ) , , .

. , , .

( ), . .

. 47.

. 47.

( ) A ( = 0 = 1) . D-, , RS-, (. 48)

. 48. : ;

R .

(. 49)

. 49.

m , (A0) Q0 . m , .

(Pm i)- (Pm i + 1)- ( ), (Pm i 1)- ( ).

, .

D- (. 50).

. 50. D-

, D, D- . ( Q0), ( Q0 ).

, (Pm i)- (Pm i 1)- .

. , T. . , T. . , (. 51).

. 51.

, . , . . .

, .

III.

, . Ln, , .

, .

, Ln = K. , m . m > log2 Ln, . K = Ln (), .

3 2 12 4. Ln = 4, K. = 4, 0 1 2 3. , . 14, , (. 52).

. 52.

. 53

. 53.

.

.

. .

, z0 . m- , Ln 2m.

(. 54), , , , , .

. 54.

, . , .

, , z0.

0 1 3 7 6 5 2 4.

1. (. 15).

15

Q2n

Q1n

Q0n

Q2n+1

Q1n+1

Q0n+1

0

0

0

0

0

0

1

1

0

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2. z0. , D-, z0 = D0 (. 55)

. 55.

3. D0:

.

4. , D0 , (. 56)

. 56.

, .

. , .

, 2m 1 , . m , , m > 10, , .


, " " - ?
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, . 1795 :
" , , 250 , ; , , ." [ .., . . . - ., , 1985]
, 20- , . - , , . , . - . ( : , , ). FAQ .


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