Is it possible to have faint lines and have a positive digital? Anyone ever had this happen?

I thought digitals take more hcg. I had a negative on first response and cheapie Tuesday morning/night. I got my first faint positive Wednesday morning(cheapie and first response, both very light positive). And then Wednesday night I took a first response digital and another cheapie. The cheapie came darker then that morning and the digital positive. I waited two days, tested again this morning. The cheapie is still faint no darker than Wednesday night. And the clearblue digital is positive. Could my hcg just have doubled enough to be detected finally?