I want to make the binary class fun for my students, and I would like to apply activities to make it easier.
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2$\begingroup$ Can I just check what the goal is here: is it simply for the students to be able to perform the calculations on paper on their own? Is there some other purpose for learning this? $\endgroup$– DavidButlerUofANov 10, 2014 at 19:47
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$\begingroup$ Thanks for answer!!! Right now the main idea is that they can make the calculation by their own. Later when they domain the subject I'll look for something where they can apply it. $\endgroup$– Jearson Narvaez RojasNov 11, 2014 at 0:55
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1$\begingroup$ Is there anything at this question that is relevant? matheducators.stackexchange.com/questions/4367/… $\endgroup$– DavidButlerUofANov 12, 2014 at 5:33
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1$\begingroup$ The standard 'stacking' procedure works correctly for adding, subtracting and multiplying numbers in any base (youtube.com/watch?v=vJ_ZEkKLZ8M). The standard 'long division' procedure is going to be difficult in base 2 (where almost every number is multi-digit) for the same reasons that it's difficult for multi digit divisors in base 10 (eg: can you work out $\frac{20328}{132}$ using the long division procedure?). $\endgroup$– NiloCKNov 24, 2014 at 19:36
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1$\begingroup$ I upvoted this question because I think division in binary is super easy to learn and understand. $\endgroup$– TimothyApr 16, 2019 at 2:13
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One suggestion: You could you focus on binary operations on $\mathbb Z$, the integers, and then talk about the parity of your two inputs as compared with the outputs? This could lead nicely into classifying all even numbers as 0 mod 2 and all odd numbers as 1 mod 2.
answered Nov 24, 2014 at 6:08