Imagine you want to enter a club with a bouncer who requires proof of age. A zero-knowledge proof would be like showing the bouncer a special gadget that confirms you're old enough without revealing your actual birthday.
In the world of cryptography, it's a way to prove something is true (like your age) without disclosing any additional information (like your birthdate). This is useful for things like online transactions where you might need to prove you have enough money to buy something without showing your entire bank account balance.
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