DATA REPRESENTATION

In your own words, explain how to convert a decimal value to its Sign and Magnitude representation

Calculate the 8-bit Sign and Magnitude representation of the following decimal values:

(a) 22

(b) -51

(c) 7

In your own words, explain how to calculate the Twos Complement representation of a decimal value

Calculate the Twos Complement representation of the following decimal values:

(a) -61

(b) 23

(c) -72

List TWO (2) similarities and TWO (2) differences between Sign and Magnitude representation and Twos Complement representation

What is a binary number system?

• Two people walking in pairs

• A pair of numbers in a table

• A number system that only uses two digits: 1 and 0.

• Two canaries

Computers use binary to ............ data.

The binary system is known as a ‘base 2’ system. This is because:

• There are only two options

• There are only two digits to select from (1 and 0)

• 2 is a lucky number

• Data is converted using the power of two.

.................... is the number system most commonly used by people.

How many digits can the decimal number system use?

• 2

• 4

• 10

• 100