function for addition 2^16 modulo

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Saranya Krishnamurthy
Saranya Krishnamurthy il 17 Apr 2021
Addition modulo (denoted with a boxed plus ⊞)
what is the command for 2^16 addition modulo: a ⊞ b?
Can someone help?
  2 Commenti
James Tursa
James Tursa il 17 Apr 2021
Are a and b type double, or an integer type?
Saranya Krishnamurthy
Saranya Krishnamurthy il 19 Apr 2021
binary
even if its integer its fine

Accedi per commentare.

Risposte (2)

Bjorn Gustavsson
Bjorn Gustavsson il 19 Apr 2021
Just make sure that your ints a and b are in int32 or larger number of bit-formats, then use:
C = mod(a+b,2^16)
HTH

John D'Errico
John D'Errico il 19 Apr 2021
Modificato: John D'Errico il 19 Apr 2021
Your numbers are in BINARY form, and you want to add modulo 2^16.
The simplest solution is to convert to a decimal integer. I'll assume they are stored as chars. But if they are boolean vectors, just as easy.
A = '101100110001';
B = '10010000001';
AplusB = mod(bin2dec(A) + bin2dec(B),2^16) % as a base 10 integer result
AplusB = 4018
AplusB = dec2bin(AplusB)
AplusB = '111110110010'
You can do it all in one line. Or, you could even write a little function.
binplus16 = @(a,b) dec2bin(mod(bin2dec(A) + bin2dec(B),2^16));
binplus16(A,B)
ans = '111110110010'
As you can see, the result is the same. We could have done it in a variety of ways. But this is simplest.

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