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, .

n .

: + 0, - 1. , . . . n-1 . 0 X 2n-1 1, 0 X -(2n-1 1).

 

X, X ³ 0

[X] = (7)

q n-1 +lXl, X £ 0

 

q n-1 , ( q n-1 =1).

, (7) .

 

: :

1. ) 1 = +110112; ) 3 = +0.110112

2 = -110112; 4 = -0.110112

 

2. ) 1 = +7318; ) 3 = +0.7318

2 = -7318; 4 = -0.7318

 

3. ) 1 = +13; ) 3 = +0.13

2 = -13; 4 = -0.13

:

1. qn-1 = 25 = 100000

) [X1] = 0 11011, [X2] = 1 11011

.

) [X3] = 0. 11011

[X4] = 1. 11011

, , , 1. .

2. qn-1 = 83 = 1000

) [X1] = 0.731 ) [X3] = 0.731

[X2] = 1.731 [X4] = 1.731

3. q n-1 = 163 = 1000

) [X1] = 0.B13 ) [X3] = 0.B13

[X2] = 1.B13 [X4] = 1.13

 

q n, n - . q n= 10 .

:

 
 


, >=0

[X] = (8)

q n - X , X<0

 

 

:

 
 

 


, >=0

[X] = (9)

1- X , X<0

 

. , B B = 1000 - B ,

A B = A + {1000 - B } 1000 = A + B 1000.

, . , 1000 .

. , .

: , , .

: :

1. ) 1 = +11011; 2 = -(X1); ) 3 = +0.11011; 4 = -(X3);

 

2. ) 1 = +731; 2 = -(X1); ) 3 = +0.731; 4 = -(X3);

 

3. ) 1 = +13; 2 = -(X1); ) 3 = +0.13; 4 = -(X3);

 

:

1. q n = 26 = 1000000

) [X1]= 0 11011; [X2] =1000000 011011= 100101;

[X2] = 100100 + 000001 = 1 00101;

) [X3] = 0.11011 [X4] = 10.00000 0.11011 = 1. 00101;

[X4] = 1.00100 + 0.000001 = 1. 00101

 


2. q n = 84 = 10000

) [X1] = 0 731; [X2] =10000 0731= 7 047;

) [X3] = 0.731 [X2] =1.0000 0.731= 7. 047;

 

3. q n+1 = 164 =1 0000

) [X1] = 0.013

[X2] = 1.F4 + 0.0001 = 1.F4ED

) [X3] = 0.B13

[X4] = 1.4 + 0.001 = 1.4ED

 

q n+1 1 0 .

, .

 





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