
a mod b, when b is greater than a - Mathematics Stack Exchange
Apr 21, 2020 · The modulo operator a mod b gives the remainder when you divide a by b. Can you then work out the remainder when 6 is divided by 10?
How to calculate a mod b in Python? - Stack Overflow
Jun 13, 2009 · mod = a % b This stores the result of a mod b in the variable mod. And you are right, 15 mod 4 is 3, which is exactly what python returns: >>> 15 % 4 3 a %= b is also valid.
How to calculate a Modulo? - Mathematics Stack Exchange
Feb 28, 2018 · Can someone show me a general step-by-step procedure on how I would be able to find out the 5 modulo 10, or 10 modulo 5.
What is b mod (a)? Answer Here - Physics Forums
Feb 21, 2008 · In summary, "b mod (a)" refers to the remainder of b/a and can be written as b = a*n + c, where c is the smallest positive number. This is similar to the concept of an analog …
Prove a mod b = b mod a iff a=b - Mathematics Stack Exchange
Oct 6, 2020 · But b mod a, as we noted, is strictly less than a, so it cannot be equal to a and hence can’t be equal to a mod b. Case 2: a > b Then b < a, and the proof is the same as …
How to calculate a Mod b in Casio fx-991ES calculator
Dec 7, 2011 · Does anyone know how to calculate a Mod b in Casio fx-991ES Calculator. Thanks
elementary number theory - Why $\,\gcd (a,b) = \gcd (b,a\bmod b ...
Aug 23, 2011 · The basic idea is this: if you want gcd (a a, b b) and a> b a> b, then we can instead compute gcd (b, a mod b b, a mod b) and we've made progress. It's progress because …
Show that $a^2 \\bmod b = (a \\bmod b)^2 \\bmod b$
Hint let a¯:= a mod b. a ¯:= a m o d b. Then mod b: a ≡a¯ ⇒CPR a2 ≡a¯2 m o d b: a ≡ a ¯ ⇒ C P R a 2 ≡ a ¯ 2 thus a2mod b =a¯2mod b a 2 m o d b = a ¯ 2 m o d b Above we employed CPR …
Why is $a$ and $b$ coprime if $a\\equiv 1 \\pmod{b}$?
Jun 15, 2012 · a a and b b are coprime if their greatest common divisor is 1. How do I conclude that from the fact that b b divides a − 1 a − 1?
Modular exponentiation by hand ($a^b\\bmod c$)
How do I efficiently compute ab mod c: When b b is huge, for instance 5844325 mod 21 5 844325 mod 21 ? When b b is less than c c but it would still be a lot of work to multiply a a by itself b b …