Explain why hexadecimal numbers are often used to represent binary numbers. (2)

The pixels in RGB computer images are programmed by three, 8 bit numbers for the red, green and blue channels. These binary numbers are usually represented by their hexadecimal equivalents. In the following table insert the binary and hexadecimal equivalents for the following colours.(6)

(e) convert positive denary whole numbers (0-255) into 2-digit hexadecimal numbers and vice versa

Denary > Hex method
Divide by 16 for the second digit and use the remainder as the first digit
182 = 11 remainder 6 > B6
Convert the following numbers from DENARY to HEX in your books, showing your workings:

96

201

141

In pairs, give your partner 3 DENARY numbers and ask them to covert them to HEX. Check their answers using green pen

Hex > Denary method
Multiply the second digit by 16 and add the first digit
2E = (2 * 16) + E > 32+14 > 46
Convert the following numbers from HEX to DENARY in your books, showing your workings:

9C

EB

23

In pairs, give your partner 3 HEX numbers and ask them to covert them to DENARY. Check their answers using green pen

Date =Title =Hexadecimal numbersObjectives =KeywordExtension:http://www.teach-ict.com/gcse_computing/ocr/214_representing_data/units/quizzes_units.html## (g) explain the use of hexadecimal numbers to represent binary numbers.

http://www.cambridgegcsecomputing.org/representation-of-data-in-computer-systems-main34: Hexadecimal Numbers

Questions:## (e) convert positive denary whole numbers (0-255) into 2-digit hexadecimal numbers and vice versa

help here: http://www.teach-ict.com/gcse_computing/ocr/214_representing_data/number/miniweb/pg7.htmDenary > Hex methodDivide by 16 for the second digit and use the remainder as the first digit

182 = 11 remainder 6 > B6

Convert the following numbers from DENARY to HEX in your books, showing your workings:

- 96
- 201
- 141

In pairs, give your partner 3 DENARY numbers and ask them to covert them to HEX. Check their answers using green penHex > Denary methodMultiply the second digit by 16 and add the first digit

2E = (2 * 16) + E > 32+14 > 46

Convert the following numbers from HEX to DENARY in your books, showing your workings:

- 9C
- EB
- 23

In pairs, give your partner 3 HEX numbers and ask them to covert them to DENARY. Check their answers using green pen