Question
Rounding is usually done by rounding up values that have a fractional part that is at least 0.5, and rounding down values that have a
Rounding is usually done by rounding up values that have a fractional part that is at least 0.5, and rounding down values that have a fractional part of less than 0.5. This means 14.55 is rounded to 15, while 2.3 is rounded to 2. C/C++ does not have a rounding function. However, rounding can be achieved using the following math (the floor (Links to an external site.) of x plus half): LaTeX: \mathrm{round}(x)=\lfloor x+\frac{1}{2} floor = \lfloor \frac{2x+1}{2} floorr o u n d ( x ) = x + 1 2 = 2 x + 1 2 In the process of converting base-10 scientific notation to base-2 scientific notation, it not uncommon that we need to divide numbers by 10, and rounding can be integrated in the division: LaTeX: \mathrm{round }(\frac{x}{10}) =\lfloor \frac{x}{10} + \frac{1}{2} floor = \lfloor \frac{x+5}{10} floorr o u n d ( x 10 ) = x 10 + 1 2 = x + 5 10 The nice part is that integer division automatically truncates and for non-negative values, it is the same as taking the floor function. Compute the difference between the rounded version and the truncated version of 19.14/10.
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