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e=5; s=1.234571 − e=5; s=1.234567 ----- e=5; s=0.000004 e=−1; s=4.000000 (after rounding and normalization) The floating-point difference is computed exactly because the numbers are close—the Sterbenz lemma guarantees this, even in case of underflow when gradual underflow is supported.
They then became famous for their men's union suits made of heavy knitted fabric. In 1908, that bulky and tight-fitting garment was turned into a new kind of loose-fitting underwear. They went on to introduce a two-piece and the popular union suit [ 5 ] [ 2 ] as well as a lightweight waffle-like fabric with the advertising slogan , "Next to ...
For comparison, the same number in decimal representation: 1.125 × 2 3 (using decimal representation), or 1.125B3 (still using decimal representation). Some calculators use a mixed representation for binary floating point numbers, where the exponent is displayed as decimal number even in binary mode, so the above becomes 1.001 b × 10 b 3 d or ...
The value encoded is (−1) s ×10 q ×c. In both formats the range of possible values is identical, but they differ in how the significand c is represented. In the decimal encoding, it is encoded as a series of p decimal digits (using the densely packed decimal (DPD) encoding).
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the 4 to the right of the tenths place is in the hundredths place, and is called the hundredths digit. [10] The total value of the number is 1 ten, 0 ones, 3 tenths, and 4 hundredths. The zero, which contributes no value to the number, indicates that the 1 is in the tens place rather than the ones place.