Yep. It is normal for me that I can't remember (or have to think very hard about it) that I took my pills (when I don't get withdrawal symptoms I know I must have taken them). It is normal for me that I can't remember what happened last month or how I felt the last couple of months (I also forget my symptoms). I think about a task and minutes later don't know anymore what I actually wanted to do. I forget appointments - important or not - and would be screwed without my calendar where I note everything. My family tells me things that really happened in my past and I think "what, I (we) really did that?"
I learned things for university and days later it was like I never looked into the books once. Sometimes I read complex sentences and at the end I have to restart 'cause I've forgotten the first half of it.
Pretty normal to me...