So why doesn't C do it this way? Probably the hardware didn't do this at the time C was designed. My first computer was a Control Data mainframe and it used one's complement for integers as well as floats. A pattern of 60 ones meant negative zero! Tim Peters, who knows where all Python's floating point skeletons are buried, has expressed some worry about my desire to extend these rules to floating point modulo. But that's a totally separate story; see PEP The modulus is a mathematical operation, sometimes described as "clock arithmetic.
It really is used to wrap around cycles. Think of a clock: Suppose you look at a clock in "military" time, where the range of times goes from - Now if you wanted something to happen every day at midnight, you would want the current time mod 24 to be zero:. You can think of all hours in history wrapping around a circle of 24 hours over and over and the current hour of the day is that infinitely long number mod It is a much more profound concept than just a remainder, it is a mathematical way to deal with cycles and it is very important in computer science.
It is also used to wrap around arrays, allowing you to increase the index and use the modulus to wrap back to the beginning after you reach the end of the array. Python is no exception. The remainder has the sign of y. On Python 3 the calculation yields 6. Modulus operator, it is used for remainder division on integers, typically, but in Python can be used for floating point numbers. It's a modulo operation, except when it's an old-fashioned C-style string formatting operator, not a modulo operation.
See here for details. You'll see a lot of this in existing code. Also, there is a useful built-in function called divmod :. Take two non complex numbers as arguments and return a pair of numbers consisting of their quotient and remainder when using long division.
Hope this helps clarify questions like this:. Modulus division returns the remainder of a mathematical division operation. It is does it as follows:. Say we have a dividend of 5 and divisor of 2, the following division operation would be equated to x :. The calculation of the modulus when applied to a fraction is the same as above; however, it is important to note that the integer division will result in a value of zero when the divisor is larger than the dividend:.
The integer division results in 0 whereas the; therefore, when step 3 above is performed, the value of the dividend is carried through subtracted from zero :. Floor division occurs in which the value of the integer division is rounded down to the lowest integer value:. In the previous example a is divided by b , and the remainder is returned.
Let's see an example with numbers. The result of the previous example is one. Two goes into seven three times and there is one left over. The single logo on the right side with the green arrow pointing at it is the remainder from the division problem. This will result in three. Pay particular attention to the first two examples above. Notice that the result of floating point division is 1. Take care that you choose the correct flavor of the division operator.
The modulus operator , sometimes also called the remainder operator or integer remainder operator works on integers and integer expressions and yields the remainder when the first operand is divided by the second. The syntax is the same as for other operators. Find Your Bootcamp Match. Career Karma matches you with top tech bootcamps Get exclusive scholarships and prep courses. Please enter a valid phone number. Start your career switch today. Please insert a number: 19 Please insert the number you want to divide by the previous number: 2.
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