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Description:

Using the modulo in arithmetic.

Language:
English Language

Transcript

00:00

Sorry And here's your shmoop du jour brought to you

00:05

by supreme galactic leader module o All praise modelo All

00:13

right If mod took precedence over multiplication what would be

00:16

the result of while the following All right And here

00:22

the potential answers Okay well we already know that computer

00:32

science and math are joined at the hip and it

00:34

sounds like this is at its core a simple math

00:37

question The module o operator often represented by a percent

00:40

sign and shortened to mod will return the remainder of

00:44

those two values after division takes place So for example

00:47

the result of five mod too would be one since

00:50

that's the remainder you'd get from dividing two into five

00:55

in another case twelve mod for would return zero because

00:57

there'd be no remainder after dividing twelve by four just

01:00

be three and nothing left over So this question is

01:03

asking us to give mod precedence over multiplication This brings

01:06

us all the way back to the order of operations

01:08

Or pam does he remember pim das Rights are buddy

01:12

We're going to be using that here with ma djalo

01:14

ahead of multiplication in line So let's show that preference

01:18

by putting ma djalo operations in parentheses Well we'll start

01:21

with four mod five before divided by five zero with

01:25

a remainder of four so we'll get a four There

01:28

are ten mod seven would be three because ten divided

01:30

by seven is one with remainder of three Then we

01:32

have four month three which will be one of three

01:35

dozen foreign there's One left over and now we're left

01:37

with two times four divided by three times one Well

01:41

two times four eight of course and three times one

01:44

is three So now we're down A divided by three

01:47

eight five two three is too pulling six six six

01:50

six six forever like devil But all the possible answers

01:53

here our imagers So we'll convert this rather than rounding

01:56

up converting the repeating two point six six six two

01:58

an imager is this name is mouring The number that

02:02

will get two instead of three on Our answer is

02:05

c it's all well and good That module exists But

02:08

when would a person actually use it Well one real

02:11

world application of modular is to check if the number

02:14

is odd or even if ex mod to return zero

02:17

That means there was no remainder X is divisible by

02:20

two And therefore even if you were to expand that

02:23

idea outward and write a method to check any given

02:25

number to see if it's divisible by anything but one

02:28

and itself well you have built your first automated prime

02:31

number validator conquering mathematics and ushering in the reign of 00:02:35.275 --> [endTime] universal king module it's One a Divisive Later indeed

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