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Question

Find the remainder when 10211022 is divided by 1023.
(correct answer + 2, wrong answer 0)


Solution

Note that 1024=2101(mod 1023)
Then 10211022(2)1022
                       (2)1022
                       (2)10×102+2
                       1024102×22
                       1102×22
                       4(mod 1023)

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