THE PUZZLET PAGE


PUZZLET 198

Counting 1's and 0's in Binary

The count of 1's in binary numbers generally exceeds the count of 0's.   Look at the table:

Denary
Binary
Total 1's
Total 0's
Difference (1's - 0's)
0
0
0
1
-1
1
1
1
1
0
2
10
2
2
0
3
11
4
2
2
4
100
5
4
1
5
101
7
5
2
6
110
9
6
3
7
111
12
6
6

That cumulative difference keeps growing all the time. When will it amount to more than 1,000, that is, there will have been at least a thousand more 1's generated in total than 0's?


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Last Updated: January 17th, 2010.