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I am so sorry, I always worked with numbers that have same long. If one of them is smaller than other, always added 0 in front of the smaller number to have a better calculation. I mean, if M=010 and N = 1 then take N=001 to calculate M(XOR)N. Also, M(XOR)N = 11 but I calculate it as 011. This...

I think, it is not. Assume that Shaq found a new technique for FT and he improved the percentage in one night. In the next match, he would throw with a percentage strictly greater than 60%. It does not have to improve his percentage by 1% for every match or trial. It can jump from 50% to 70%...

One has to assume that M and N have at most 3 digits. Becasue M(XOR)N = 110 which has 3-digits. If M or N has more than 3 digits, then M(XOR)N would have more than 3-digits which is not the case in the question. If both M and N has less than 3 digits, then M(XOR)N would have less than...

Well, Define M as ABC and N as XYZ. A,B,C,X,Y,Z are binary numbers. Now, ABC(XOR)XYZ = 110. This means, C=Z, A!=X and B!=Y. M*M = ABC * ABC and N*N = XYC *XYC and (ABC*ABC)(XOR)(XYC*XYC) = 10110 Try to calculate M*M and N*N in terms of ABC and XYZ. Last digits are C*C and C*C. There is no...

Hello everyone, I am MFE student outside of US/EU. I studied math before MFE. Perfect forum!