On the Data tab, in the Sort & Filter group, click Sort. The Sort dialog box is displayed. Under Column, in the Sort by or Then by box, select the column that you want to sort by a custom list. Under Order, select Custom List. In the Custom Lists dialog box, select the list that you want.elect a column of numeric data in a range of cells, or make sure that the active cell is in a table column containing numeric data. On the Data tab, in the Sort & Filter group, do one of the following: To sort from low numbers to high numbers, click Sort Smallest to Largest.
Modular arithmetic (sometimes called clock arithmetic) is a system of arithmetic for integers, where numbers wrap around after they reach a certain valueâthe modulus.ongruence relation. Modular arithmetic can be handled mathematically by introducing a congruence relation on the integers that is compatible with the operations of the ring of integers: addition, subtraction, and multiplication.
The modern approach to modular arithmetic was developed by Carl Friedrich Gauss in his book Disquisitiones Arithmeticae, published in 1801. A familiar use of modular arithmetic is in the 12-hour clock, in which the day is divided into two 12-hour periods. If the time is 7:00 now, then 8 hours later it will be 3:00.ince modular arithmetic has such a wide range of applications, it is important to know how hard it is to solve a system of congruences. A linear system of congruences can be solved in polynomial time with a form of Gaussian elimination, for details see linear congruence theorem.