**Part A**

**1**. Using the appropriate methods taught in class, please follow the instructions to complete Table 1.

(a) Convert the decimal number to hexadecimal.

(b) Convert the hexadecimal number to octal.

(c) Convert the octal number to binary.

(d) Add the two binary numbers.

(e) Convert the binary sum to octal.

(f) Convert the octal number to hexadecimal.

(g) Convert the hexadecimal to decimal.

Please show your workings, no mark will be awarded if no working is shown.

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**2**. Using the appropriate methods taught in class, please follow the instructions to complete Table 2.

(a) Convert the decimal fraction to binary fraction

(b) Add the two binary fractions

(c) Convert the binary fraction to hexadecimal fraction

Please show your workings, no mark will be awarded if no working is shown.

**3**. Simplify the following Boolean expression:

(a) AB + A‘C + BC

(b) A‘BC + A‘BC‘ + AC

(c) (A + B) (A‘ + B)

(d) (A + AB) + A‘B

Please show your workings, no mark will be awarded if no working is shown.

**4**. Using the truth table, prove the following expressions are equivalent:

(a) (AB)‘ = A’ + B’

(b) (BC‘ + A‘C)’ = AB‘ + AC + B‘C‘

**5**. Construct a truth table for (x’ + z)(y + z’) and draw the corresponding logic circuits.

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**Part B**

You are required to write a C programme that keeps the score of a golf game for 1 player. The rules of the game are as follows:

The player needs to complete two rounds and each round comprises 9 holes (Hole 1 through Hole 9). Each hole has an assigned score, and the player will play the hole trying to score as close to the assigned score as possible. The player will try to score lower than the assigned score for each hole, the lower the total score the better the player performs. Table 1 & 2 denote the scoring format.

The C programme should have the following features:

• Prompt the user to enter the player’s name.

• Prompt the scorer to input the scores for the 2 rounds.

• Print the holes in which the player scored less than the assigned score.

• Print the holes in which the player scored the same as the assigned score.

• Print the total score for each round.

• Print the average score for both rounds (18 holes)

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