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ClearAll[ShowSetRightBits]
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ShowSetRightBits[b_String,n_Integer]:=Module[{poss,chars},
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chars=Characters[b];
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poss=Position[chars,"1"];
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poss=Union[Flatten[Outer[Plus,poss,Range[n]]]];
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{{"In :",b},{"Out:",StringJoin[ReplacePart[chars,(List/@poss)->"1"]]}}//Grid
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]
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ShowSetRightBits["1000",2]
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ShowSetRightBits["0100",2]
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ShowSetRightBits["0010",2]
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ShowSetRightBits["0000",2]
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ShowSetRightBits["010000000000100000000010000000010000000100000010000010000100010010",0]
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ShowSetRightBits["010000000000100000000010000000010000000100000010000010000100010010",1]
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ShowSetRightBits["010000000000100000000010000000010000000100000010000010000100010010",2]
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ShowSetRightBits["010000000000100000000010000000010000000100000010000010000100010010",3]
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