Boolean & Modulo: (a&b)modp - Is it the same as (amodp)&(bmodp)?

  • Thread starter Thread starter dynamoliljosh
  • Start date Start date
dynamoliljosh
Messages
1
Reaction score
0
Please do you know if (a&b)modp(where &stands for bitwise boolean AND operator)is the same as (amodp)&(bmodp)?Or can you direct me to somewhere i can find more information on this?Thanks.
 
Mathematics news on Phys.org
No, consider 6&5 mod 11.
 
Eynstone said:
No, consider 6&5 mod 11.
How is this a counterexample?
(6 & 5) % 11 == 4 % 11 == 4
(6 % 11) & (5 % 11) == 6 & 5 == 4

(Since you're using the C/C++ bitwise AND operator, I'm using the C/C++ modulus operator, %.)
 
How about:

(4&5) % 3 == 4 % 3 == 1
but
(4%3) & (5%3) == 1 & 2 == 0
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »
Thread 'Imaginary Pythagorus'

Thread 'Imaginary Pythagorus'

I posted this in the Lame Math thread, but it's got me thinking. Is there any validity to this? Or is it really just a mathematical trick? Naively, I see that i2 + plus 12 does equal zero2. But does this have a meaning? I know one can treat the imaginary number line as just another axis like the reals, but does that mean this does represent a triangle in the complex plane with a hypotenuse of length zero? Ibix offered a rendering of the diagram using what I assume is matrix* notation...
View full post »

Similar threads

I Modulo and Modulus in math and computer programming
Replies
5
Views
3K
B Traditional logic and its usefulness in the past
Replies
21
Views
2K
Boolean Algebra in the Context of Mathematics
Replies
3
Views
2K
Can C1 and C2 be converted while maintaining the same boolean function B?
Replies
1
Views
1K
One wayness of boolean functions
Replies
4
Views
2K
B Quantum Entanglement & Hybridization
Replies
7
Views
2K
B Question about Georg Cantor's Diagonal
Replies
19
Views
2K
Creating a simple boolean logic calculator in C
Replies
6
Views
6K
B Mistake in my complex exponentiation: where?
Replies
2
Views
1K
B Self-descriptive Physical Object
Replies
33
Views
3K

Hot Threads

Recent Insights

Back
Top