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What are the last seven digits of binary from of $$\left(65^{2016} - 65^{2015}\right) ?$$ How can I calculate it?

Also, are there any shortcut techniques?

PinkyWay
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marajul
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  • Welcome to MSE. Your question is phrased as an isolated problem, without any further information or context. This does not match many users' quality standards, so it may attract downvotes, or closed. To prevent that, please [edit] the question. This will help you recognise and resolve the issues. Concretely: please provide context, and include your work and thoughts on the problem. These changes can help in formulating more appropriate answers. – José Carlos Santos Mar 27 '20 at 06:36
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    Well yes there are some observations you could make to make this rather easier. What is it that you have tried already? – Mark Bennet Mar 27 '20 at 06:36

1 Answers1

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Hint:

What action precedes the carry flag?

What are the last six digits of $64_{(2)}$?

What is the last digit of $65_{(2)}^n$ in general?

PinkyWay
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