Form 4 Mathematics Bab 2: Number Bases
Instructions
Answer all questions clearly. Show all working steps where required.
10 questions · 22 marks total
1. A digital watch stores two values in Base 2: A = 11011₂ and B = 10110₂. (a) Calculate A + B in Base 2. (b) Convert the sum A + B into Base 8.
Short Answer · 4m2. Convert the number 341₆ to Base 10.
Short Answer · 2m3. Convert 142₁₀ into a number in Base 8.
Short Answer · 2m4. Raju buys a shirt costing RM 132₅ and a pair of trousers costing RM 64₈. (a) Convert both prices into Base 10. (b) Calculate the total amount Raju needs to pay in Base 10. (c) Express the total amount paid as a number in Base 9.
Short Answer · 4m5. Which of the following is equivalent to the octal number 63₈ in Base 2?
Multiple Choice · 1m6. True or False: 1010₂ + 101₂ = 1111₂.
True / False · 1m7. True or False: To convert a Base 8 number directly to Base 2, each octal digit is replaced by a 4-digit binary number.
True / False · 1m8. Convert 423₅ to Base 7.
Short Answer · 3m9. Fill in the blank: The maximum digit allowed in a Base 7 number system is ________.
Fill in the Blank · 1m10. Given that 1023₄ + y₄ = 3101₄, find the value of y in Base 4.
Short Answer · 3m