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Bulls and Cows - Logic Puzzle
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Bulls and Cows

description Bulls and Cows Overview

Bulls and Cows is a classic code-breaking logic game in which one player thinks of a secret, usually four-digit, number and the other tries to guess it. After each guess, the first player provides feedback: a "bull" indicates a correct digit in the correct position, while a "cow" indicates a correct digit in the wrong position. The game's paper-and-pencil format predates the 20th century and directly inspired the popular 1970s board game Mastermind, which replaced numbers with colored pegs. It is designed for puzzle enthusiasts looking to practice deductive reasoning.

help Bulls and Cows FAQ

What is the difference between a bull and a cow?

A bull means a guessed digit is correct and in the correct position. A cow means the digit occurs in the secret number but was placed in the wrong position.

Can the secret number in Bulls and Cows contain repeated digits?

Traditional four-digit versions usually require four distinct digits, which keeps the feedback unambiguous. Variants may allow repeats, but players must agree on that rule before choosing the code.

How is Bulls and Cows related to Mastermind?

Both games provide positional feedback about a hidden code after each guess. Mastermind, commercially released in the 1970s, uses colored pegs, while Bulls and Cows is traditionally played with numbers or words.

What is a useful first guess in a four-digit game?

A guess containing four different digits, such as 1234, tests more possibilities than one containing repeats. The returned bulls and cows then reveal how many of those four digits belong in the secret before the player focuses on their positions.

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