Base Conversion and Exponential Functions

The video tutorial explains how to convert numbers between different bases, focusing on converting a decimal number to base three (ternary). It introduces the concept of base notation, discusses the importance of place value, and demonstrates the conversion process using powers of three. The tutorial provides a step-by-step example, ensuring a clear understanding of the conversion method.

What is the purpose of writing a number's base as a subscript?

• To indicate the number's value

• To show the number's base

• To simplify the number

• To convert the number to another base

Which base is known as ternary?

• Base 2

• Base 10

• Base 16

• Base 3

In a place value system, what does the digit '4' represent in the number 47 in base 10?

• Four lots of one

• Four lots of ten

• Four lots of hundred

• Four lots of thousand

What is the largest power of 3 that fits into 47?

• 9

• 27

• 81

• 3

How many lots of 9 can fit into the remainder when converting 47 to base 3?

• One

• Two

• Four

• Three

What is the value of 3 to the power of zero?

• Zero

• One

• Nine

• Three

In base 3, what digits are available for use?

• 1, 2, 3

• 0, 1

• 0, 1, 2, 3

• 0, 1, 2

What is the representation of 47 in base 3?

• 1210

• 1120

• 1021

• 1201

How many digits are there to choose from in base 10?

• Two

• Three

• Ten

• Sixteen

What is the significance of the number 47 in the context of this lesson?

• It is a hexadecimal number

• It is the largest number in base 3

• It is used as an example for base conversion

• It is a prime number