1. Let H := {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e, f} denote the set of hexadecimal digits. 2. Let S := {0 + 0, 0 + 1, 1 + 0, 1 + 1, 0 0, 0 1, 1 0, 1 1} be the set of results of adding any...

1. Let H := {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, a, b, c, d, e, f} denote the set of hexadecimal digits.

2. Let S := {0 + 0, 0 + 1, 1 + 0, 1 + 1, 0 0, 0 1, 1 0, 1 1} be the set of results of adding any two bits together or multiplying any two bits together

1. Which of 0, 1, 2, and 3 are elements of S?

2. What is |S|?