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The exponent is 3 (and in the biased form it is therefore (+) = = ( )) The fraction is 100011 (looking to the right of the binary point) From these we can form the resulting 32-bit IEEE 754 binary32 format representation of 12.375:
pdfTEX, but not plain TeX or LaTeX, also supports a new Didot point (nd) at 3 ⁄ 8 mm or 0.375 mm and refers to a not further specified 1978 redefinition for it. The French National Print Office adopted a point of 2 ⁄ 5 mm or 0.400 mm in about 1810 and continues to use this measurement today (though "recalibrated" to 0.398 77 mm ).
3/8 or 3 ⁄ 8 may refer to: 3rd Battalion, 8th Marines; the calendar date March 8 (United States) the calendar date August 3 (Gregorian calendar) the fraction, three eighths or 0.375 in decimal; a time signature; 3/8, a 2007 album by Kay Tse
A minifloat in 1 byte (8 bit) with 1 sign bit, 4 exponent bits and 3 significand bits (in short, a 1.4.3 minifloat) is demonstrated here. The exponent bias is defined as 7 to center the values around 1 to match other IEEE 754 floats [3] [4] so (for most values) the actual multiplier for exponent x is 2 x−7. All IEEE 754 principles should be ...
0.4 Vulgar Fraction Two Fifths 2156 8534 ⅗ 3 ⁄ 5: 0.6 Vulgar Fraction Three Fifths 2157 8535 ⅘ 4 ⁄ 5: 0.8 Vulgar Fraction Four Fifths 2158 8536 ⅙ 1 ⁄ 6: 0.166... Vulgar Fraction One Sixth 2159 8537 ⅚ 5 ⁄ 6: 0.833... Vulgar Fraction Five Sixths 215A 8538 ⅛ 1 ⁄ 8: 0.125 Vulgar Fraction One Eighth 215B 8539 ⅜ 3 ⁄ 8: 0.375 ...
It is the first unique prime, such that the period length value of 1 of the decimal expansion of its reciprocal, 0.333..., is unique. 3 is a twin prime with 5, and a cousin prime with 7, and the only known number such that ! − 1 and ! + 1 are prime, as well as the only prime number such that − 1 yields another prime number, 2.
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 ...
In a third layer, the logarithms of rational numbers r = a / b are computed with ln(r) = ln(a) − ln(b), and logarithms of roots via ln n √ c = 1 / n ln(c).. The logarithm of 2 is useful in the sense that the powers of 2 are rather densely distributed; finding powers 2 i close to powers b j of other numbers b is comparatively easy, and series representations of ln(b) are ...