Not knowing what you have to work with, these will get you started.
Be sure to follow local building code!
The sole plate (bottom 2x4) must be treated lumber.
You’ll need to buy TapCon’s or Red Head’s and anchor the sole plate into the concrete.
These things are specific to basement walls.
The rest is standard framing.
Yes, research your local building codes.
For example if you want to build a bed room in the basement, and it doesn’t comply with building codes, it will actually Decrease the value of your home.
FUI, Bedrooms require legal egress windows ($3500 if you have one excavated and cut in) and bedrooms require a closet.
Be sure to use pressure treated wood where the wall contacts the concrete floor. Also use galvanized nails when nailing through the PT wood into the studs.
How do I locate a craft I had seen earlier on home talk?
Go to the top of the screen. See where it says "Find your next project" click on that and type in the subject of the project.