2.6 Hexadecimal and denary

Question 1

Hexadecimal place values

Answer 1

0 1 2 3 4 5 6 7 8 9 A B C D E F

Question 2

steps to convert denary to hexadecimal

Answer 2

• divide the number by 16
• round down the lowest integer
• x 16 by that number
• take it from the original
• write the remainder in the second column

Question 3

converting hexadecimal to denary

Answer 3

• multiply the first digit by 16

- add the second digit

Question 4

a) Convert the denary number 236 into a hexadecimal number. [1]
b) Convert the hexadecimal number 9C into a denary number. [1]

Answer 4

a) EC

b) 156

Question 5

In a colour selector in a graphics program, the code for a 24-bit colour called firebrick can be represented by the RGB code 178-34-34 consisting of 3 denary numbers.

How would the colour be represented in hexadecimal notation in the colour selector?

Explain your answer [3]

Answer 5

each denary number is converted to hexadecimal
178 = B2
34= 22

therefore the colour would be represented as B22222