Assignment:
Boolean Algebra and Digital Logic
Q1. Convert the following binary numbers to their decimal equivalents
a. 1101
b. 0011
c. 11100111
d. 10101011
Q2. Convert the following decimal numbers to their binary, octal, and hexadecimal equivalents
a. 16
b. 32
c. 48
d. 80
Q3. Do the following work and answer the following questions
a. Explain the relationship between an AND gate and a NAND gate in terms of Boolean Algebra and draw truth tables for both types of gate
b. Explain the relationship between an OR gate and a NOR gate in terms of Boolean Algebra and draw truth tables for both types of gate
Q4. In the following problems, use 0 to stand for False and 1 to stand for True. Indicate whether the answer is true or false
a. Jack is a boy AND Jill is a girl
b. Jack is NOT a girl
c. Jack is a boy OR Jill is a boy
d. Jack is NOT a boy AND Jill is NOT a boy
e. Jack is a boy OR Jill is NOT a boy
Q5. Fill in the following truth tables
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A
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B
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NOT A
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NOT B
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A OR B
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NOT (A OR B)
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A AND B
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NOT A AND NOT B
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NOT (A AND B)
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NOT A OR NOT B
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0
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0
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0
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1
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1
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0
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1
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1
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Provide complete and step by step solution for the question and show calculations and use formulas.