Discrete Structure (COS 203) CA

Convert hexadecimal 5C3 to a decimal value.

• 1475

• 1575

• 1675

• 1775

Determine the two's complement for hexadecimal value 4B.

• 4A

• B5

• 4B

• A5

Which of the following options is the appropriate representation for such A is a subset of B and A might be equal to B.

• A ⊆ B

• A ∉ B

• A ⊂ B

• A ∅ B

Let A = {9, 10, 11, 12, 13, 14, 15} and B = {14, 15, 16, 17, 18, 19}. Find the result for A ∪ B.

• {9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19}

• {9, 10, 11, 17, 18, 19}

• {14, 15}

• {10, 11, 12, 13, 14, 15, 16, 17, 18}

Given F = {3, 5, 6, 7, 9, 11}, G = {2, 4, 6, 7, 10}, H= {3, 4, 7, 12}, determine the symmetric for F union G.

• {3,4, 6, 7}

• {2, 3, 6, 10, 12}

• {6, 7}

• {2, 3, 4, 5, 6, 7, 9, 10, 11}

Given X = { 1, 4, 6, 8, 12}, Y = { 1, 2, 4, 5, 6, 7, 8}, Z = {1, 3, 5, 6, 7, 8, 9, 11}, determine the difference of Y - Z

• {1, 3, 5, 6, 7, 8}

• {1, 3, 5, 9, 11}

• {2, 4}

• {9, 11}

"It’s raining and it’s not raining" is an example of

• Contradiction

• Tautology

• Valid sentence

• None of the above

Truth tables are used to define

• Logical Connectives

• Logics

• symbols

• Tabular form

The science or study of how to evaluate arguments and reasoning

• Logic

• Discrete

• Mathematics

• Symbolic

What type of logic is this table showing:

• AND

• OR

• NOR

• XOR