IEEE 754 represents floating point Numbers as base 2 decimal Numbers in scientific notation.

IEEE 754用科学记数法以底数为2的小数来表示浮点数。

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However, you then need to account for the extra 1-bit in a normalized number, and then convert back to a floating-point number between 1 and 2.

不过，随后则需要考虑正常数字中多出的1位，然后再转换回范围在1到2之间的浮点数。

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Here in Part 2, I focus on the functions that make sense only when you realize that they're designed for operating on floating-point Numbers instead of abstract real Numbers.

在第2部分中，我主要关注这样一些函数，它们的目的是操作浮点数，而不是抽象实数。

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This half-build system achieved the world's best LINPACK(2) benchmark performance of 8.162 petaflops (quadrillion floating-point operations per second), to place it at the head of the TOP500 list.

ENGADGET: Fujitsu K supercomputer now ranked fastest in the world, dethrones China's Tianhe-1A