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What is 8 written in base 2?
2³, I believe.
What does 'Zero' and 'one' are the only numbers that are written the same in any base mean?
This refers to numbers written in base-2, base-3, etc. The lowest number that can be used as a base for such an "base n" calculation is 2. The first few numbers in binary are as follows (left: base-10; right: base 2): 0 = 0 1 = 1 2 = 10 3 = 11 4 = 100 As you can see, starting from the number 2, in base-2 it is written differently.
What is 111 base 2 plus 111 base 2?
Oh, isn't that just a happy little math problem we have here! When we add 111 base 2 (which is 7 in base 10) to 111 base 2 (also 7 in base 10), we get 1110 base 2 (which is 14 in base 10). Just like painting a beautiful landscape, sometimes all it takes is a few simple brushstrokes to create something wonderful.
What is 777 in base 8 when converted to base 10?
This would be 7 times 64 (8^2) + 7 times 8 + 7 = 511.
What should be the base when 81 is written as a power of which the index is 2?
92 = 81
