Why does 2 mod 4 = 2?

Question

I'm embarrassed to ask such a simple question. My term does not start for two more weeks so I can't ask a professor, and the suspense would kill me.

2/4 = .5 so why does 2 mod 4 = 2?

Sorry if I'm missing something obvious.

Thanks!

Answer 1

Modulo (mod, %) is the Remainder operator.

2%2 = 0 (2/2 = 1 remainder 0)
1%2 = 1 (1/2 = 0 remainder 1)
4%2 = 0 (4/2 = 2 remainder 0)
5%2 = 1 (5/2 = 2 remainder 1)

Answer 2

mod means the reaminder when divided by. So 2 divided by 4 is 0 with 2 remaining. Therefore 2 mod 4 is 2.

Answer 3

Modulo is the remainder, not division.

2 / 4 = 0R2
2 % 4 = 2

The sign % is often used for the modulo operator, in lieu of the word mod.

For x % 4, you get the following table (for 1-10)

 x x%4
------
 1  1
 2  2
 3  3
 4  0
 5  1
 6  2
 7  3
 8  0
 9  1
10  2

Answer 4

Mod just means you take the remainder after performing the division. Since 4 goes into 2 zero times, you end up with a remainder of 2.

Answer 5

2 / 4 = 0 with a remainder of 2

Answer 6

For a visual way to think about it, picture a clock face that, in your particular example, only goes to 4 instead of 12. If you start at 4 on the clock (which is like starting at zero) and go around it clockwise for 2 "hours", you land on 2, just like going around it clockwise for 6 "hours" would also land you on 2 (6 mod 4 == 2 just like 2 mod 4 == 2).

Answer 7

As all the above comments have mentioned is the fact that its the remainder.

i just wanted to put my 2 pence on where i use the "mod" keyword alot in xsl

To get a html table with rows that have alternative colours (Red, Blue, Red, Blue, Red etc...)

i use

<!-- if the rows position is a even number then give it a class of red -->

<xsl:if test="position() mod 2 = 0">
     <xsl:attribute name="class">
            red
     </xsl:attribute>
</xsl:if>


.....

<tr>
<tr class="red">
<tr>
<tr class="red">
<tr>
<tr class="red">