Question 1: What is the hexadecimal equivalent of the decimal number 255?

Answer: FF

Question 2: Convert the hexadecimal number 1A to decimal.

Answer: 26

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

Answer: Hexadecimal numbers are shorter and easier to read than binary, making it simpler to represent large binary numbers compactly.

Question 4: A computer memory location is labeled as 3F in hexadecimal. What is this value in binary?

Answer: 0011 1111

Question 5: Write the hexadecimal number that represents the decimal number 100.

Answer: 64

Question 6: Describe what a hexadecimal digit is and how many possible values it can have.

Answer: A hexadecimal digit is a single character used in base-16 numbering, which can be 0-9 or A-F, giving 16 possible values.

Question 7: Convert the hexadecimal number 9C to decimal.

Answer: 156

Question 8: Draw a simple representation of a table showing the decimal numbers 0 to 15 alongside their hexadecimal equivalents.

Answer: A table with two columns: one labeled 'Decimal' listing 0 to 15, and the other labeled 'Hexadecimal' listing 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F.

Question 9: Complete the following truth table for a logic gate that outputs true only when both inputs are true. Fill in the missing output values for each combination of inputs A and B.

Answer: A=0, B=0, Output=0; A=0, B=1, Output=0; A=1, B=0, Output=0; A=1, B=1, Output=1

Question 10: Draw a logic circuit diagram for an AND gate using verbal descriptions. Label the input terminals, the gate, and the output.

Answer: A rectangular symbol with two input lines labeled 'A' and 'B' entering the gate, and one output line leaving the gate labeled 'Output'. The gate is shaped as a D-shaped symbol representing AND logic.

Question 11: If a hexadecimal number is 2F, what would its binary representation be?

Answer: 0010 1111

Question 12: Sketch a simple diagram showing how hexadecimal digits are used to represent data in a computer's memory. Leave space for a diagram illustrating memory locations labeled with hexadecimal addresses and corresponding binary data.

Answer: A series of labeled blocks each showing a memory address in hexadecimal (e.g., 1A, 2F, 3C) and their corresponding binary data (e.g., 1010 1100). The sketch should clearly connect addresses to data.