The conversation between human and AI assistant.
What's the remainder when [(2) ³] ³¹ is divided by 7?
Can you explain what modular arithmetic is?
Modular arithmetic is a form of arithmetic where numbers "wrap around" when they reach a certain value, called the modulus. For example, when using modulo 7 arithmetic, the numbers "wrap around" when they reach 7. So, 1 modulo 7 is equivalent to 8 modulo 7, which is equivalent to 15 modulo 7, and so on. This is useful when dealing with remainders, as we can use modular arithmetic to find the remainder of a division problem.