Understanding Hexadecimal Numbers

The video tutorial explains the decimal and hexadecimal number systems, focusing on how numbers are represented in base 10 and base 16. It covers methods to calculate two-digit and three-digit hexadecimal numbers, using both additive and multiplicative approaches. The tutorial also addresses more complex problems involving overlap in hexadecimal calculations, applying principles of set theory to solve them.

What is the base of the decimal number system?

• Base 16

• Base 2

• Base 8

• Base 10

In hexadecimal, which digit comes after 9?

• D

• C

• B

• A

How many two-digit hexadecimal numbers start with the digit 'B'?

• 32

• 8

• 16

• 24

Using the multiplicative method, how many two-digit hexadecimal numbers can start with 'A', 'B', or 'C'?

• 48

• 60

• 24

• 36

How many three-digit hexadecimal numbers start with 'B' and end with '0'?

• 96

• 16

• 48

• 288

What is the total number of three-digit hexadecimal numbers that start with 'B', 'C', or 'D'?

• 1024

• 768

• 384

• 192

How many choices are there for the third digit if it must be between 0 and 5?

• 5

• 4

• 7

• 6

What principle is used to solve the problem of three-digit hexadecimals that start with 'B' through 'D' or end with '0' through '5'?

• Additive Principle

• Subtraction Principle

• Multiplicative Principle

• Inclusion-Exclusion Principle

How many three-digit hexadecimal numbers end with a digit between 0 and 5?

• 720

• 1920

• 960

• 1440

What is the final count of three-digit hexadecimals that start with 'B' through 'D' or end with '0' through '5'?

• 2880

• 1440

• 960

• 1920