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

Answer: 26

Question 2: Convert the decimal number 45 into hexadecimal.

Answer: 2D

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

Answer: Hexadecimal is used because it is more compact and easier to read than binary, as each hexadecimal digit represents four binary bits.

Question 4: Given the hexadecimal number 'FF', what is its value in decimal?

Answer: 255

Question 5: Describe how a byte (8 bits) can be represented in hexadecimal.

Answer: A byte, consisting of 8 bits, can be represented by two hexadecimal digits, each representing 4 bits, ranging from 00 to FF.

Question 6: Convert the hexadecimal number '3E' to binary.

Answer: 00111110

Question 7: Convert the binary number '101011' to hexadecimal.

Answer: 2B

Question 8: Complete the truth table for a logic gate that performs the AND operation, with inputs A and B, and output C.

Answer: A | B | C 0 | 0 | 0 0 | 1 | 0 1 | 0 | 0 1 | 1 | 1

Question 9: Draw the logic circuit diagram for an OR gate using basic logic gate symbols.

Answer: A correct sketch would show two input lines entering an OR gate symbol, with one output line. The gate should have curved input lines and a pointed output.

Question 10: Sketch a simple diagram illustrating how a byte is stored using hexadecimal notation, including a label for each part.

Answer: A clear diagram showing 8 bits grouped into two sets of 4 bits, each group labeled with its hexadecimal equivalent, e.g., '2D' for 0010 1101.

Question 11: A computer system stores a color value in hexadecimal as '7F00FF'. Explain what this represents in terms of red, green, and blue components.

Answer: The value '7F00FF' represents a color with red component '7F' (127), green component '00' (0), and blue component 'FF' (255), indicating a color with medium red, no green, and full blue.