. .
M × 10 p, 1 £ M < 10, p . , 120100000 = 1,201 × 108. 10, 10 . 10 . : 120100000 = 1,201 × 108 = 0,1201 × 109 = 12,01 × 107. "" .
M , p . , , , , 1(10) 2(10) (1 £ M < 2). , , 2. , . , , .. , . , , . , .
( ; ):
Real | 2,9×10-39..1,7×1038 | 11-12 | |
Single | 1,5×10-45..3,4×1038 | 7-8 | |
Double | 5,0×10-324..1,7×10308 | 15-16 | |
Extended | 3,4×10-4932..1,1×104932 | 19-20 |
Double.
, 8 . , ( ):
S | ||
62..52 | 51..0 |
, , , 51, .. 52 . . , 1, ( ). , . , .. . , . , Double 11 2-1023 21023, 1023(10) = 1111111111(2). , 63 .
|
|
, :
1. ;
2. , .. M × 2 p, M ( 1(2)) p , ;
3. ;
4. (0 ; 1 ), .
. -312,3125.
1. 100111000,0101.
2. 100111000,0101 = 1,001110000101 × 28.
3. 8 + 1023 = 1031. 1031(10) = 10000000111(2).
4.
62..52 | 51..0 |
, : C073850000000000(16).
.
. 3FEC600000000000(16)
62..52 | 51..0 |
1. , , 63 . : 01111111110(2) = 1022(10); 1022 - 1023 = -1.
2. 1,1100011 × 2-1 0,11100011.
3. 0,88671875.