Binary and Denary Number Systems

This video tutorial by Craig explains how computers store numbers using binary and how to convert between denary (base-10) and binary (base-2) systems. It covers the basics of both number systems, including how numbers are represented and stored. The tutorial introduces two methods for converting denary numbers to binary: the divide-by-two method and the binary number line method. It also explains how to convert binary numbers back to denary. The video provides practical tips for exams, emphasizing the importance of showing work and using a binary number line to avoid mistakes.

Why do computers use binary to store numbers?

• Because binary is the same as denary.

• Because binary numbers are shorter.

• Because computers can only represent two states: 0 and 1.

• Because binary is easier to understand.

What is the base of the denary number system?

• Base-16

• Base-2

• Base-10

• Base-8

How do we represent the number 10 in denary?

• As a single digit 10

• As 1 followed by 0

• As 2 followed by 5

• As 0 followed by 1

What is the base of the binary number system?

• Base-16

• Base-10

• Base-8

• Base-2

How is the number 3 represented in binary?

• 101

• 10

• 11

• 100

Which method uses modulus to convert denary to binary?

• Addition method

• Subtraction method

• Divide-by-two method

• Binary number line method

What is the binary representation of the number 89 using the divide-by-two method?

• 1011001

• 1101101

• 1011010

• 1011101

When converting denary to binary using the binary number line method, what should you do if the number is greater than or equal to the column value?

• Write a 1 and reduce the number by the column value

• Skip the column

• Double the column value

• Write a 0 and move to the next column

How do you convert from binary to denary?

• Subtract the values of the columns with 0s

• Multiply each binary digit by 2

• Add the values of the columns with 1s

• Divide each binary digit by 2

What is the denary equivalent of the binary number 01100110?

• 100

• 110

• 102

• 96