How to output a sequence of binary numbers in a range without converting from decimal to binary?

Question

C++ / C#

How can you quickly display a sequence of binary numbers in the range (for example
, from 100 to 111) without going from 10 to 2?
Output for range 100-111:
100
101
110
111
The range can be large. The start and end of the range are powers of two in increments of 1 (for example, from 2^20 to 2^21.)

Answer 1

You create an array of characters 0000...0000, and then do the increment operation until you get all the ones 1111...1111.