Year 8 Assignment

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Section A: Objectives Choose the correct answer

1. The base of the hexadecimal number system is...  
   A. 2    B. 8    C. 10    D. 16

2. In hexadecimal, the letter E represents the decimal number...  
   A. 11    B. 12    C. 14    D. 15

3. Convert (25)₁₀ to hexadecimal.  
   A. 19    B. 1A    C. 21    D. 31

4. Convert (1A)₁₆ to decimal.  
   A. 16    B. 24    C. 26    D. 32

5. Which of these is NOT a valid hexadecimal digit?  
   A. 7    B. B    C. G    D. F

6. The hexadecimal number (100)₁₆ is equal to which decimal number?  
   A. 16    B. 100    C. 256    D. 4096

7. Convert (1111)₂ to hexadecimal.  
   A. E    B. F    C. 15    D. 1E

8. Computers use hexadecimal mainly because...  
   A. It uses fewer symbols than binary   
   B. It is easier for humans to read than long binary numbers  
   C. Both A and B   
   D. It is faster than decimal


Section B: Theory. Show working.

1. a) Convert (45)₁₀ to hexadecimal.  
   b) Convert your answer in 1a back to decimal to check.

2. a) Convert (3C)₁₆ to decimal.  
   b) Convert (3C)₁₆ to binary.

3. Add (A5)₁₆ + (1B)₁₆. Leave your answer in hexadecimal.

4. Ama wrote a colour code as #FF0000.  
   a) What number system is this?  
   b) Convert FF₁₆ to decimal. What does this tell you about the amount of red?



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