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

Answer: 26

Question 2: Convert the decimal number 45 into its hexadecimal form.

Answer: 2D

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

Answer: Hexadecimal is used because it provides a more compact way to represent binary data, with each hex digit representing four binary bits, making it easier to read and interpret.

Question 4: Describe how the hexadecimal number 'FF' relates to the number 255 in decimal.

Answer: 'FF' in hexadecimal is equal to 255 in decimal because F represents 15 in decimal, and 'FF' is (15×16) + 15 = 255.

Question 5: A computer stores a color value as the hexadecimal code '00FF00'. What is the equivalent in decimal for each color component (red, green, blue)?

Answer: Red: 0, Green: 255, Blue: 0

Question 6: Describe how hexadecimal numbers are related to binary numbers in terms of bits.

Answer: Each hexadecimal digit corresponds to four binary bits because 16 (hexadecimal base) equals 2^4 (binary).

Question 7: Complete the following truth table for a logic AND gate:

Answer: A | B | Output 0 | 0 | 0 0 | 1 | 0 1 | 0 | 0 1 | 1 | 1

Question 8: Draw a simple logic circuit for an OR gate. Label the inputs, gate symbol, and output.

Answer: A correct sketch would include two input lines entering an OR gate symbol (curved shape with a pointed output), and an output line coming from the gate.

Question 9: Describe a scenario where hexadecimal data might be used to represent information in a computer system.

Answer: Hexadecimal data is often used to represent color codes in web design, memory addresses in programming, or machine instructions because it is more compact and easier to read than binary.

Question 10: Sketch a diagram of a memory address consisting of 4 hexadecimal digits, and label the parts that represent the address.

Answer: A large blank rectangle divided into four sections, each labeled as a hexadecimal digit (e.g., 'A', 'F', '3', 'C'), with labels indicating 'Address' and 'Hexadecimal digits'.