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Hexadecimal

Unit 4 Summary - Part 2

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 Hexadecimal is shorter than a binary.
It only has 0 1 2 3 4 5 6 7 8 9 A B C D E F
A: 10
B: 11
C: 12
D: 13
E: 14
F: 15

Comp S 142-143 hexadecimal.png
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1 byte has 8 bits. A nibble has only 4 bits.

(Decimal is also called Denary or Base 10)

 

Hexadecimal.png
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Covert hexadecimal to decimal

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Covert decimal to hexadecimal

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Oxford AQA IGCSE 2019

01.1.
State the hexadecimal representation of the decimal number 194. [2 marks]
Show your working.

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Final answer ____________________________

Answer:

Start creating this table:

Hexadecimal.png
Divide 194/16 = 12

put 12 in column 16(sixteens).

Multiply 16*12 = 192, and then 194-192 = 2

put 2 in column 1(units).

Change 12 in column 16(sixteens) into C.

(Because in Hexadecimal, A=10, B=11, C=12, D=13, E=14, F=15.)

So the final answer is C2.

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Oxford AQA IGCSE 2020

Now calculate to answer these questions

01.1.

State the decimal representation of the hexadecimal number A8 Show your working. [2 marks]

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Oxford AQA IGCSE Specimen Paper

Now calculate to answer these questions

01.2.

Convert the binary number 10011100 to hexadecimal. [1 mark]

Final Answer:

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Answer:

​Start creating a binary table:

Binary.png

Convert 10011100 to decimal

10011100 is 156

Then create a hexadecimal table:
Hexadecimal.png

Divide 156/16 = 9.75

Put 9 in the column 16

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01.3.

State two reasons why programmers often use hexadecimal instead of binary. [2 marks]

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Alternative answers:

  • Hexadecimal is easier to read/understand;

  • Hexadecimal can be displayed/printed more compactly;

  • Less likely to be entered inaccurately;

  • Quicker to type in;

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Oxford AQA IGCSE Mock Paper

Now calculate to answer these questions

01.

Figure 1 shows the contents of a byte of memory in binary.

 

Figure 1

Binary AQA IGCSE Mock.png

01.2.

State the contents of the byte in Figure 1 in hexadecimal. [1 mark]

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