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Editorial Team
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Editorial Team
Asked: May 14, 20262026-05-14T06:23:36+00:00 2026-05-14T06:23:36+00:00

I have been trying to solve this problem for a while, but couldn’t with

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I have been trying to solve this problem for a while, but couldn’t with just integer arithmetic and bitwise operators. However, I think its possible and it should be fairly easy. What am I missing?

The problem: to get an integer value of arbitrary length (this is not relevant to the problem) with it’s X least significant bits sets to 1 and the rest to 0. For example, given the number 31, I need to get an integer value which equals 0x7FFFFFFF (31 least significant bits are 1 and the rest zeros).

Of course, using a loop OR-ing a shifted 1 to an integer X times will do the job. But that’s not the solution I’m looking for. It should be more in the direction of (X << Y - 1), thus using no loops.

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  1. Editorial Team
    Editorial Team
    2026-05-14T06:23:36+00:00Added an answer on May 14, 2026 at 6:23 am

    Try this: (1 << X) – 1

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