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Представление вещественных чисел

7016 байт добавлено, 04:51, 1 ноября 2010
Диапазон чисел, представимых в формате с плавающей запятой
!style="background-color: transparent; border: none"|
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|colspan=4 style="border: none; border-left: 1px solid gray; text-align: left"|31
|colspan=4 style="border: none; border-right: 1px solid gray; text-align: right"|24
|colspan=4 style="border: none; border-left: 1px solid gray; text-align: left"|23
|colspan=4 style="border: none; border-right: 1px solid gray; text-align: right"|16
|colspan=4 style="border: none; border-left: 1px solid gray; text-align: left"|15
|colspan=4 style="border: none; border-right: 1px solid gray; text-align: right"|8
|colspan=4 style="border: none; border-left: 1px solid gray; text-align: left"|7
|colspan=4 style="border: none; border-right: 1px solid gray; text-align: right"|0
|}
 
'''Число́ двойно́й то́чности''' —
компьютерный формат представления чисел, занимающий в памяти две последовательных ячейки (компьютерных слова; в случае 32-битного компьютера — 64 бита или 8 байт). Как правило, обозначает формат числа с плавающей запятой стандарта IEEE 754.
 
{|class="wikitable" style="border-collapse: collapse; border: none"
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!colspan=7 style="background-color: powderblue; border: thin solid black; border-bottom: none"|Знак
|-
!style="background-color: powderblue; border: thin solid black; border-top: none"|
!colspan=11 style="background-color: lightgreen; border: thin solid black"|(11 бит)<br />Экспонента
!colspan=52 style="background-color: lightcoral; border: thin solid black"|(52 бита)<br />Мантисса
|-style="text-align: right"
!style="background-color: powderblue; border: thin solid black"|&nbsp;
!style="background-color: lightgreen; border: thin solid black"|&nbsp;
!style="background-color: lightgreen; border: thin solid black"|&nbsp;
!style="background-color: lightgreen; border: thin solid black"|&nbsp;
!style="background-color: lightgreen; border: thin solid black"|&nbsp;
!style="background-color: lightgreen; border: thin solid black"|&nbsp;
!style="background-color: lightgreen; border: thin solid black"|&nbsp;
!style="background-color: lightgreen; border: thin solid black"|&nbsp;
<!-- 56 бит -->
!style="background-color: lightgreen; border: thin solid black"|&nbsp;
!style="background-color: lightgreen; border: thin solid black"|&nbsp;
!style="background-color: lightgreen; border: thin solid black"|&nbsp;
!style="background-color: lightgreen; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
<!-- 48 бит -->
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
<!-- 40 бит -->
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
<!-- 32 бита -->
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
<!-- 24 бита -->
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
<!-- 16 бит -->
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
<!-- 8 бит -->
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
!style="background-color: lightcoral; border: thin solid black"|&nbsp;
|-
|colspan=4 style="border: none; border-left: 1px solid gray; text-align: left"|63
|colspan=4 style="border: none; border-right: 1px solid gray; text-align: right"|56
|colspan=4 style="border: none; border-left: 1px solid gray; text-align: left"|55
|colspan=4 style="border: none; border-right: 1px solid gray; text-align: right"|48
|colspan=4 style="border: none; border-left: 1px solid gray; text-align: left"|47
|colspan=4 style="border: none; border-right: 1px solid gray; text-align: right"|40
|colspan=4 style="border: none; border-left: 1px solid gray; text-align: left"|39
|colspan=4 style="border: none; border-right: 1px solid gray; text-align: right"|32
|colspan=4 style="border: none; border-left: 1px solid gray; text-align: left"|31
|colspan=4 style="border: none; border-right: 1px solid gray; text-align: right"|24
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