Boolean Algebra Simplification (3 mark)
Simplify the Boolean expression to its simplest form: (D . 0) + (D . 1)
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Logic
Simplify Some Boolean Algebra (1 mark)
Using Boolean algebra rules, simplify the expression: (B + C) . (B + C)
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Simplifying Boolean Algebra (1 mark)
Simplify the following Boolean expression using Boolean algebra rules: A + A
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Simplifying Boolean Algebra (3 marks)
Simplify the following Boolean expression using Boolean algebra rules: (X . ‘X) + Y
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OR and XOR Logical Operators (3 marks)
Explain the difference between the OR and XOR logical operators.
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Truth Table (4 marks)
Fill in the truth table below using the correct values for the given logical operations. A B NOT A A AND B A OR B A XOR B 0 0 0 1 1 0 1 1
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Truth Table Problem-Solving (1 marks)
Given that A=1, B=0, C=1, apply the AND operator to inputs A and B, and the OR operator to the result with input C. What is the final result? Explain your answer.
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Truth Table Application (2 marks)
Explain how you would apply the NOT operator to a single input A to solve a problem. Provide a description of the resulting truth table.
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Using Logical Operators (3 marks)
Describe what the logical operators AND, OR, and NOT represent when used in truth tables.
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Interpreting a Truth Table (2 marks)
A B NOT B A AND (NOT B) 0 0 1 a 0 1 0 b 1 0 1 c 1 1 0 d What are the values of a, b, c and d?
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