#2**+5 **

This site will give you an idea.

----------------------------------------

A clock is an example of modular arithmetic It is mod 12

What time is it 297 hours after 00:00

299/12 = 24 remainder 11

Only the 11 is important the time is 11:00

Have a look at the nrich site to get more of an idea.

Melody
May 15, 2014

#1**+5 **

modulo

don't know the exact english word, but it's the rest of the division.

For example

10%3 = 1

11%3 = 2

12%3 = 0

Guest May 15, 2014

#2**+5 **

Best Answer

This site will give you an idea.

----------------------------------------

A clock is an example of modular arithmetic It is mod 12

What time is it 297 hours after 00:00

299/12 = 24 remainder 11

Only the 11 is important the time is 11:00

Have a look at the nrich site to get more of an idea.

Melody
May 15, 2014

#3**0 **

Anonymous has got the right idea too

10%3 = 1 ==> 10mod3 is 1 because 10 divided by 3 has a REMAINDER OF 1

11%3 = 2 ==> 11MOD3 is 2

12%3 = 0 ==> 12 mod 3 is 0

Melody
May 15, 2014

#4**0 **

$$\\\boxed{(a\bmod b)=a-b\lfloor\frac{a}{b}\rfloor}\\

\\

Example: \quad 299\bmod 12=299-12*\lfloor\frac{299}{12}\rfloor\\

= 299-12*24=299-288=11$$

latex code:

\\\boxed{(a\bmod b)=a-b\lfloor\frac{a}{b}\rfloor}\\

\\

Example: \quad 299\bmod 12=299-12*\lfloor\frac{299}{12}\rfloor\\

= 299-12*24=299-288=11

$$\lfloor \dots \rfloor = floor function$$

latex code:

\lfloor \dots \rfloor = floor function

heureka
May 15, 2014

#5**0 **

Please Heureka,

When you post your fancy LaTex can you please post the code as well.

There is a LaTex thread in the sticky notes and I will transfer your output and code into posts within it. (Unless you want to)

I am very excited about having a LaTex expert on the forum. Thank you so much for joining us!

Thank you in advance.

Melody
May 15, 2014

#6**0 **

$$\\\boxed{(a\bmod b)=a-b\lfloor\frac{a}{b}\rfloor}\\

\\

Example: \quad 299\bmod 12=299-12*\lfloor\frac{299}{12}\rfloor\\

= 299-12*24=299-288=11$$

latex code:

\\\boxed{(a\bmod b)=a-b\lfloor\frac{a}{b}\rfloor}\\

\\

Example: \quad 299\bmod 12=299-12*\lfloor\frac{299}{12}\rfloor\\

= 299-12*24=299-288=11

$$\lfloor \dots \rfloor = floor function$$

latex code:

\lfloor \dots \rfloor = floor function

heureka
May 15, 2014