The Laws of Badminton and Competition Regulations (linked here) in the BWF Statutes provide the detail on every aspect of the game of badminton. Below is a brief overview - simplified rules.
Scoring System
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A match consists of the best of 3 games of 21 points. Every time there is a serve there is a point scored. The side winning a rally adds a point to its score. At 20 all, the side which gains a 2 point lead first, wins that game. At 29 all, the side scoring the 30th point, wins that game. The side winning a game serves first in the next game.
Interval and Change of Ends
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When the leading score reaches 11 points, players have a 60 second interval. A 2 minute interval between each game is allowed. In the third game, players change ends when the leading score reaches 11 points.
Singles
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At the beginning of the game (0, the server serves W service court. If the server wins a rally, the server scores a point and then serves again from the alternate service court. If the receiver wins a rally, the receiver scores a point and becomes the new server. They serve from the appropriate service court left if their score is odd, and right if it is even. Doubles
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