, .
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 .
, .