Writing moves down
Every square has a name, so every move can be written in a few letters. Here is how to read and write them.
Square names
The files are lettered a to h, from left to right for White. FIDE Laws of Chess The ranks are numbered 1 to 8, from bottom to top for White. FIDE Laws of Chess
So every one of the 64 squares has its own letter-and-number name. FIDE Laws of Chess
Piece letters
In English, each piece is shown by a capital letter: K king, Q queen, R rook, B bishop and N knight (N, so it is not mixed up with the king). FIDE Laws of Chess Pawns get no letter: a pawn move is written just as its square, such as e5 or d4. FIDE Laws of Chess
Captures, promotion and castling
An x can be written for a capture, as in Bxe5. A pawn capture starts with the pawn’s file, as in dxe5. FIDE Laws of Chess For a promotion, write the pawn move and then the new piece’s letter, as in d8Q. FIDE Laws of Chess
0-0 means castling kingside (with the rook on h1 or h8), and 0-0-0 means castling queenside (with the rook on a1 or a8). FIDE Laws of Chess
Extra marks
+ means check, ++ or # means checkmate, and e.p. means an en passant capture. These marks are optional. FIDE Laws of Chess A draw offer is marked (=). FIDE Laws of Chess
Reading a game
1 e4 means White’s first move pushes the e-pawn two squares, and 1 … Nf6 means Black answers by bringing a knight from g8 to f6. Britannica: chess