* Pulsars are formed from the collapsed cores of massive stars. These stars are at least 8 times more massive than our Sun. The Sun is considered a "medium-sized" star.
* The Sun's mass is too small to create a neutron star. A neutron star is the extremely dense remnant of a collapsed star that forms a pulsar.
* The Sun will become a white dwarf. After the Sun runs out of hydrogen fuel, it will expand into a red giant, eventually shedding its outer layers. The remaining core will cool and shrink into a white dwarf, a very dense but much smaller object.
In short, the Sun doesn't have enough mass to create a neutron star, which is a requirement for forming a pulsar.