How to get the last seven digit of a big binary number?

62 Views Asked by At

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?

1

There are 1 best solutions below

0
On

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?