Can a woman's snowboard use girls/boys (youth) bindings?

I have a woman's snowboard that is 135 cm. However, my feet are very small. I fit a size 3-4 in kids and a size 5 in womens. I see that kids bindings are cheaper. Can I buy kids bindings for my board or will it not fit on my board? Also, if I can get kids bindings, can I still buy womens boots? Will it fit in the binding? Help!!!! I'm so lost when it comes to snowboarding gear. Thanks!