Number Systems and Conversions

This video tutorial covers the conversion between binary, decimal, and hexadecimal number systems. It explains the fundamentals of each system, including their base values and how they represent numbers. The tutorial provides step-by-step methods for converting numbers between these systems, using binary as a foundational system. It includes practice problems to reinforce learning and offers tips for handling numbers that don't fit neatly into a byte.

What are the two fundamental components of number systems?

• Base and Height

• Length and Width

• Digits and Symbols

• Place and Value

In the decimal system, what is the base value?

• 8

• 10

• 2

• 16

Which number system is primarily used by computers?

• Binary

• Hexadecimal

• Decimal

• Octal

What is the base value of the hexadecimal system?

• 10

• 8

• 16

• 2

What is the hexadecimal representation of the decimal number 255?

• AA

• 1F

• FF

• 10

What is the first step in converting a decimal number to hexadecimal?

• Convert to binary

• Divide by 16

• Multiply by 2

• Add 10

What is the hexadecimal equivalent of the decimal number 183?

• D2

• B7

• A3

• C1

What is the binary representation of the hexadecimal number AF?

• 10101010

• 11001100

• 11110000

• 10101111

How do you handle a binary number that doesn't fit into a byte?

• Multiply by 2

• Remove extra bits

• Add leading zeros

• Convert to decimal