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Excel maintains 15 figures in its numbers, but they are not always accurate; mathematically, the bottom line should be the same as the top line, in 'fp-math' the step '1 + 1/9000' leads to a rounding up as the first bit of the 14 bit tail '10111000110010' of the mantissa falling off the table when adding 1 is a '1', this up-rounding is not undone when subtracting the 1 again, since there is no ...
This variant of the round-to-nearest method is also called convergent rounding, statistician's rounding, Dutch rounding, Gaussian rounding, odd–even rounding, [6] or bankers' rounding. [ 7 ] This is the default rounding mode used in IEEE 754 operations for results in binary floating-point formats.
Quarter hours are expressed relative to the nearest whole hour – for example, 6:15, "kwart over 6" (quarter past six) and 6:45, "kwart voor zeven" (quarter to seven). Minutes are usually rounded off to the nearest five minutes and are expressed relative to the closest half-hour.
The time of day is sometimes represented as a decimal fraction of a day in science and computers. Standard 24-hour time is converted into a fractional day by dividing the number of hours elapsed since midnight by 24 to make a decimal fraction. Thus, midnight is 0.0 day, noon is 0.5 d, etc., which can be added to any type of date, including (all ...
Alternative rounding options are also available. IEEE 754 specifies the following rounding modes: round to nearest, where ties round to the nearest even digit in the required position (the default and by far the most common mode) round to nearest, where ties round away from zero (optional for binary floating-point and commonly used in decimal)
Written time is almost always in the 24-hour clock. In spoken language, a mixture of the two systems are used: When giving exact times, or when speaking in official settings (radio, TV, etc.), the 24-hour clock is always used. When speaking informally, the 12-hour clock is often used. Minutes are usually rounded off to the nearest five minutes.
time zone is the desired time zone abbreviation (see below and also the list of time zone abbreviations); If no time zone is given or if the given time zone is not supported, then the output will default to 0; In this case, instead of giving a time zone, an offset (e.g. -30, 45, etc.) can also be given;
The time is usually based on a 12-hour clock. A method to solve such problems is to consider the rate of change of the angle in degrees per minute. The hour hand of a normal 12-hour analogue clock turns 360° in 12 hours (720 minutes) or 0.5° per minute. The minute hand rotates through 360° in 60 minutes or 6° per minute. [1]