# If you'd like to omit non-matching lines from the result; add ';d' to the end of the expression.
sed -E 's/^(?![10]*(?<!0)000(?!0)[10]*)[10]+//gm;t' <<< "100100
1000100
00100
000100
0000100
111000
11100001"
Please keep in mind that these code samples are automatically generated and are not guaranteed to work. If you find any syntax errors, feel free to submit a bug report. For a full regex reference for SED, please visit: https://www.gnu.org/software/sed/manual/html_node/The-_0022s_0022-Command.html