Pawns only move forward one square at a time. They can never move backwards. They cannot jump over other pieces. If a pawn has never been moved (i.e. in the starting position), it can move one or two squares forward.

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Since the white pawn has not moved, it has the option to move forward one or two square. On the other hand the black pawn has moved from its starting position so it can only move one square forward.

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