. : . .
, (. 2.32.).
2.32.
01111111 = 26 + 25 + 24 + 23 + 22 + 21 + 20 =
= 64 + 32 + 16 + 8 + 4 + 2 + 1 =
= +127
10000000. = 11111111 + 1 = -128
, , :
+127 ≥ X ≥ -128,
X .
: .
, , - .
.
. , , , , .
.
, ( : ) - , xj . , (. 2.36.).
xj | xj-1 | x1 | x0 | . | x-1 | x-2 | x-i | ||
:
X = xj xj-1x1x0. x-1 x-2 x-i
.
:
347.764, -563.957783, +7307823645.3
1100.0010101, -1.111101, 11110000010001.001
, .
:
P-s ≤ N ≤ m - -s,
P
s - ;
m - ;
N - .
: P = 2, s = 0, m = 7.
2-0 ≤ N ≤ 27 - 2-0
1 ≤ N ≤ 128 - 1
1 ≤ N ≤ 127.
: P = 2, s = 2, m = 5.
2-2 ≤ N ≤ 25 - 2-2
0.25 ≤ N ≤ 32 0.25
0.25 ≤ N ≤ 31.75
, , .
|
|
, , .
.
.
, ( : ) - , , . , - .
:
X = 0. x1 x2 xi * 10p, x1 x2 xi ; p .
. 2.37.
6541.7645310 | 0.65417645310 * 104 = 0.0065417645310* 106 |
111000011.11012 | 0.11100001111012 * 101001 = 0.011100001111012 * 101010 |
, . . .
, ( ) , . .
, , ( , ..).
, - , .. . . , , . , , .
. 2.38.
0.00101* 101100 | 0.101* 101110 |
0.0001* 1010 | 0.1* 10101 |
. 2.38 , :
1. - ;
2. , ( ).
, .
, , . , . , , .
|
|
. . , , . , , .
, . , , .