Answer the following statements true (T) or false (F)

1. If b|a we say that b is a divisor of a.
2. The notation a|b is commonly used to mean b divides a. ?
3. The rules for ordinary arithmetic involving addition, subtraction, and multiplication carry over into modular arithmetic. ?
4. Two theorems that play important roles in public-key cryptography are Fermat’s theorem and Euler’s theorem. ?
5. One of the useful features of the Chinese remainder theorem is that it provides a way to manipulate potentially very large numbers mod M in terms of tuples of smaller numbers.

1. TRUE
2. FALSE
3. TRUE
4. TRUE
5. TRUE