AP® Computer Science Principles Crash Course by Jacqueline Corricelli

Author:Jacqueline Corricelli
Language: eng
Format: epub
Publisher: Research & Education Association
Published: 2018-09-14T16:00:00+00:00

You cannot have 0 to the right of the MOD.

Example: 20 MOD 0 does not make sense since this would be like dividing by 0.

You can have 0 to the left of the MOD.

Example: 0 MOD 4 is 0 since 0 divided by any number that is not 0 is 0 with a remainder of 0.

Watch for division by 0 errors in MOD calculations — this can get a little confusing. 20 MOD 0 is not valid. 0 MOD 20 is 0. The 0 cannot be to the right of MOD.

iii.Modulus is often used in a program for the following purposes:

To determine if numbers are even or odd.

– If 2 is to the right of MOD, the result of this operation will tell you if the number to the left of MOD is even or odd.

Example 1: 7 MOD 2 is 1. This means 7 is odd.

Example 2: 8 MOD 2 is 0. This means 8 is even.

– General Rule:

If x MOD 2 is 1, x is ODD.

If x MOD 2 is 0, x is EVEN.

To convert between number systems.

– Suppose you want to convert 1600 hours (military time) to our normal AM/PM clock time. 1600 hours is 16:00. The “normal” clock time is a 12–hour system. Applying a modulus of 12 will do the trick!

16 MOD 12 is 4. 16:00 in military time is 4:00.

– If you research MODULUS online, you might see it referred to as “clock time” for this reason.

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