Question

Hailey is preparing a questionnaire on the different number systems. He asks the students to write down the correct decimal and hexadecimal digits used to represent any quantity. Which digit should the students place beside the binary number system?
A. 0 and 9
B. 0 and 1
C. A and F
D. 0 and 2

Answer 1

Answer: B. 0 and 1

Explanation:

Almost always we can use number systems as a way to represent numbers. We probably are familiar with the base-10 number system or decimal. This number system has ten digits or symbols that we used to represent any quantity, they are [ 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 ]. With these digits and following some rules we usually represent numbers as high or low as we want.

Naturally, exist many other number systems, an example is a base-16 or hexadecimal system. It uses the same 10 digits as the decimal system and some letters of the alphabet to complete 16 digits [0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F]

The binary system is a base-2 number system. That means that it should use 2 digits to represent any quantity. As the hexadecimal system do, we used the same decimal digits. In our case, we only need the first two one. In other words, the digits for the binary number system are [ 0, 1 ]  

We conclude that the right answer is B. 0 and 1

Answer 2

C. A and F = hex 0 1 2 3 4 5 6 7 8 9 A B C D F