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.
You need to be careful with negative numbers. They are usually not congruent to their positive counter parts, as you can see in the above examples. Congruence is an equivalence relation, if a and b are congruent modulo n, then they have no difference in modular arithmetic under modulo n.Because of this, in modular n arithmetic we usually use only n numbers 0, 1, 2, ..., n-1. All the other numbers can be found congruent to one of the n numbers.lso 37 â¡ 2 mod 5 so 373 â¡ 23 â¡ 8 â¡ 3 mod 5. But for division, it is not so simple because division is not defined for every number. That means that it is not always possible to perform division in modular arithmetic. First of all, as in ordinary arithmetic, division by zero is not defined so 0 cannot be the divisor.