You can use the Linux dynamic linker/loader directly to run ELF executables for which you have read, but not execute rights:
$ /lib/ld-linux.so.* /home/user1/binary_program
When an ELF executable is executed ordinarily, the dynamic linker which is stored in the
.interp section of the program code is used. Reasons for invoking the dynamic linker directly (outside job interviews) include passing it command-line options to modify its behaviour.
Note that the actual location of the dynamic linker may very depending on the environment, for instance in 64-bit Ubuntu the linker is at