Question 1: Convert the hexadecimal number '3F' to its decimal equivalent.

Answer: 63

Question 2: Convert the decimal number 255 into its hexadecimal form.

Answer: FF

Question 3: Explain why hexadecimal is often used in computing instead of binary.

Answer: Hexadecimal is used because it is more compact than binary, making it easier to read and write. Each hex digit represents four binary digits, simplifying the representation of large binary numbers.

Question 4: Given the hexadecimal number '7A', what is its value in binary?

Answer: 0111 1010

Question 5: Describe the main advantage of using hexadecimal numbers in programming and data storage.

Answer: Hexadecimal numbers are more concise and easier to read compared to binary, making it simpler for programmers to interpret binary data and debug code.

Question 6: Convert the hexadecimal number 'B4' to decimal.

Answer: 180

Question 7: Convert the decimal number 4095 into hexadecimal.

Answer: FFF

Question 8: Complete the truth table for a hexadecimal to binary conversion: Hexadecimal digit: 0, 1, 9, A, F Corresponding binary: ____

Answer: 0000, 0001, 1001, 1010, 1111

Question 9: Draw a simple circuit diagram using logic gates that takes a hexadecimal input and outputs '1' if the input is greater than 'A' and '0' otherwise. Label the components clearly.

Answer: A correct sketch would include an input point labeled with hexadecimal input, a comparator logic gate (or equivalent), and output indicating '1' or '0'. The input should connect to the comparator, which checks if the value exceeds 'A'.

Question 10: Sketch a representation of how a computer might store the hexadecimal number '2E' in memory. Use labeled boxes or lines to show bits and the hexadecimal value.

Answer: A correct sketch would show a memory cell containing 8 bits (e.g., 0010 1110) and label indicating that this binary sequence corresponds to the hexadecimal '2E'.

Question 11: Explain how hexadecimal numbers relate to binary numbers in data storage.

Answer: Each hexadecimal digit directly represents four binary digits (bits). This makes it easier to convert between binary and hexadecimal, simplifying data representation and debugging.