Multiplying two integers given in binary

I'm working on a program that will allow me to multiply/divide/add/subtract binary numbers together. In my program I'm making all integers be represented as vectors of digits.

I've managed to figure out how to do this with addition, however multiplication has got me stumbled and I was wondering if anyone could give me some advice on how to get the pseudo code as a guide for this program.

Thanks in advance!

EDIT: I'm trying to figure out how to create the algorithm for multiplication still to clear things up. Any help on how to figure this algorithm would be appreciated. I usually don't work with C++, so it takes me a bit longer to figure things out with it.


You could also consider the Booth's algorithm if you'd like to multiply: Booth's multiplication algorithm

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