there is a legend that the inventor of chess asked fora small payment in return

Question

there is a legend that the inventor of chess asked fora small payment in return for the marvelous game he had developed; one grain of rice for the first square on the chess board, two for the second square, four for the third square, and so on. there are 64 squares on a chess board. a) how many grains of rice were placed on the 16th square? b) how many grains of rice were placed on the 64th square? c) how many grains of rice were placed on the chess board? this problem is intended to give you some practice working with very large numbers in excel. you may want to try using the scientific format. creating a series of values from 1 to 64 for the "square number" column is a good place to use the fill handle

Explanation / Answer

a) 16th square has 2^15 = 32768 grains b) 64th square has 2^63 = 9223372036854775808 grains c) The whole board has 2^64 - 1 = 18446744073709551615

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