What would be the permissions "mode" of a file accessed via a UNIX$-$based operating system be if:

The user owner has Read, Write, and Execute permissions

The group owner has Execute permissions

Everyone else $("$other$")$ has Execute permissions

For instance, if using the is $-$al command on UNIX the permissions might be represented by:

rwx$--$x$--$x

Your answer should be a decimal number with three digits $($for instance, $600$ or $777).$

Each digit represents the decimal equivalent of one of the principals' permissions, where a $1$ bit represents having the permissions and a $0$ bit represents NOT having the permission $($that is$,rwx=111,rw-=110).$