Number Systems and Conversions

Mr. Potter explains how to decompose numbers into powers of two and convert between binary, decimal, octal, and hexadecimal systems. He uses the number 91 as an example to demonstrate binary decomposition and discusses place value in terms of powers of ten. The video covers conversion techniques between these number systems, highlighting the differences and applications of each system in computing and human readability.

What is the unique way to represent a number using powers of two?

• By using only even numbers

• By using only odd numbers

• By using prime numbers

• By using powers of two that add up to the number

In the decimal system, what does the '10's place' represent?

• 10 to the power of three

• 10 to the power of two

• 10 to the power of one

• 10 to the power of zero

How do you convert a decimal number to binary?

• By subtracting two

• By adding two

• By dividing by two and noting remainders

• By multiplying by two

What base is the octal number system?

• Base 2

• Base 8

• Base 16

• Base 10

How many binary digits does each octal digit convert to?

• Two

• One

• Three

• Four

What is the base of the hexadecimal number system?

• Base 16

• Base 10

• Base 8

• Base 2

How many binary digits does each hexadecimal digit convert to?

• Four

• Three

• Two

• Five

Which number system is primarily used for human readability?

• Hexadecimal

• Decimal

• Octal

• Binary