GATE CSE
First time here? Checkout the FAQ!
x
+1 vote
66 views
a mod n : tell the formula ?
asked in Mathematical Logic by Active (1.9k points)   | 66 views

2 Answers

+1 vote
Best answer

In arithmetic modulo b, we express any $a$  as $nb + r$, where $r$ must be a non-negative integer.

-4 can be expressed as $-2 * 2 + 0$, So -4 mod 2 = 0

One good example would be -2 mod 6.

-2 can be expressed as $(-1 * 6) + 4$, so -2 mod 6 = 4.

Hope it's clear now.

answered by Loyal (3.1k points)  
selected by
+1 vote
I dont give exact answer,but i can give you approach that i follows.

Lets say we have a number n (say 13),now if i find mod of this with some number(+ve) say m=4, it will give me 1(13%4).

Now suppose i add multiple of 4(4x) into n.Say 13+(4*2),will it change my Mode?No way ,right?

Now say i have -ve number -13,now if i add multiple of 4,that is greater that 13 say 16,now it becomes -13+16,which is 3%4=3.

Hope this clears,-4mod2,will be (-4+2*3)=(-4+6)=(2)mod2,which is 0.
answered by Loyal (2.8k points)  
ya right but tell

-9 mod 4 =3

rt?
there is a formula behind that

i searched google but it showing confusion. somebody know that

a mod n formula ?
@wanted: you're right.  -9 mod 4 indeed equals 3.

You can check my answer to get precise mathematical definition.
yes.You can write as (-9mod4)=(-9+12)mod4=(3)mod4=3
tie buddy

Related questions

0 votes
1 answer
1
asked in Digital Logic by Shefali Active (1.1k points)   | 161 views
0 votes
1 answer
2
Top Users Jan 2017
  1. Debashish Deka

    9716 Points

  2. sudsho

    5560 Points

  3. Bikram

    5290 Points

  4. Habibkhan

    4920 Points

  5. Vijay Thakur

    4498 Points

  6. Arjun

    4418 Points

  7. saurabh rai

    4236 Points

  8. Sushant Gokhale

    4230 Points

  9. Kapil

    3848 Points

  10. santhoshdevulapally

    3808 Points

Monthly Topper: Rs. 500 gift card

19,449 questions
24,228 answers
53,958 comments
20,373 users