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The binary ______ operation impacts your study of encryption the most. It checks to see whether there is a one in a number in a given place, but not in both numbers at that place. If it is in one number but not the other, then the resultant number is one. If not, the resultant number is zero. It has a very interesting property in that it is reversible. A) XOR

B) AND

C) OR

D) NOT

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Final answer:

The binary operation that impacts the study of encryption the most is the XOR operation because of its reversibility, which is crucial in encrypting and decrypting data.

Step-by-step explanation:

The binary operation that most significantly impacts the study of encryption and behaves in the manner described is the XOR (exclusive or) operation. This operation is used in various encryption algorithms due to its useful property of being reversible. In the XOR operation, two bits are compared, and if exactly one of them is 1 (but not both), the result is 1; otherwise, the result is 0. An important characteristic of XOR is that if you apply the same operation again with the same number, you revert to the original number. For example, if you have a bit pattern A and you XOR it with a key pattern B, you get the encrypted result. If you then XOR this result again with B, you get back to A, thus demonstrating the reversibility of the operation.

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