The binary point is assumed to be immediately left of the high-order bit of the fraction.
2.
These may be called " binary point groups "; most familiar is the 3-dimensional case, known as binary polyhedral groups.
3.
Use where x is the decimal number and y is the decimal precision ( positive numbers, defaults displays up to 10 digits following the binary point ).
4.
For multiplication and division, he proposes placing the binary point after sign bit, which means all numbers are treated as being between-1 and 1 and therefore computation problems must be scaled accordingly.
5.
The true significand includes 23 fraction bits to the right of the binary point and an " implicit leading bit " ( to the left of the binary point ) with value 1, unless the exponent is stored with all zeros.
6.
The true significand includes 23 fraction bits to the right of the binary point and an " implicit leading bit " ( to the left of the binary point ) with value 1, unless the exponent is stored with all zeros.
7.
:: : : : A thought : presumably if you can do supertasks, you can make an arbitrary non-negative integer by just adding random binary digits to the left of the binary point, and arbitrary reals between 0 and 1 by just adding them to the right of the binary point.
8.
:: : : : A thought : presumably if you can do supertasks, you can make an arbitrary non-negative integer by just adding random binary digits to the left of the binary point, and arbitrary reals between 0 and 1 by just adding them to the right of the binary point.
9.
I was thinking about binary fractions with N bits after the binary point . . . but with Double precision floating-point format, numbers are represented as " mantissa " x 2 " exponent " . . . where the mantissa is in the range 1 to 2 and has 53 bits.
10.
The term " floating point " refers to the fact that a number's radix point ( " decimal point ", or, more commonly in computers, " binary point " ) can " float "; that is, it can be placed anywhere relative to the significant digits of the number.
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