Question: Find 79307 mod 724 using the techniques described in Example 8.4.4 and Example 8.4.5. First compute the following. 791 mod 724 = 792 mod 724

Find 79307 mod 724 using the techniques described in Example 8.4.4 and Example 8.4.5. First compute the following. 791 mod 724 = 792 mod 724 = 449 794 mod 724 = 329 798 mod 724 = 7916 mod 724 = 181 )XXXXXXX 7932 mod 724 = 7964 mod 724 = 662 79128 mod 724 = 590 79256 mod 724 = 594 Since 307 = 256 + 32 + 16 + 2 + 1, 79307 mod 724 = (79256 . 7932 . 79 . 792 . 791 ) mod 724 = ((79256 mod 724) . (7932 mod 724) . ( 79 16 mod 724 ) . (792 mod 724) . (791 mod 724) ) mod 724 681 X

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