What are the first fifteen counting numbers in base two?

Answer 1

0,1,10,11,100,101,110,111,1000,1001,1010,1011,1100,1101,1110

In base 10 (the number system normally used) each digit in the number is valued 0-9, and the placement of each digit corresponds to the amount of times the number is to be multiplied by ten. Fore example, the number one hundred and twenty two when put in to base 10 is 122, or more clearly:

100 10 1

1 2 2

In base 2 its all but the same except, instead of 100, 10, 1, you use powers of two (1, 2, 4, 8, 16, 32, 64...) and instead of each number being valued 0-9 it is valued 0-1.

So, to write 122 in base 2 or binary you would write 1111010, or put more simply:

64 32 16 8 4 2 1

1 1 1 1 0 1 0