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Questions and Answers
What is the simplest form of the Boolean function $F = a'b'c' + a'bc' + ac' + c'd$ using Boolean algebra?
What is the simplest form of the Boolean function $F = a'b'c' + a'bc' + ac' + c'd$ using Boolean algebra?
- a' + c'd
- a'c' + d
- a + c'd
- c' + d (correct)
What is the result of subtracting 11011100 - 10101010 using 1's complement?
What is the result of subtracting 11011100 - 10101010 using 1's complement?
- 00110011
- 01010100
- 00110010
- 01010011 (correct)
Which components are required to design a 4-bit parallel adder?
Which components are required to design a 4-bit parallel adder?
- 4 full adders (correct)
- 2 half adders and 2 full adders
- 4 half adders
- 1 full adder and 3 half adders
What is the purpose of a 2x4 decoder in implementing Boolean functions?
What is the purpose of a 2x4 decoder in implementing Boolean functions?
In the state table for a sequential circuit with two D flip-flops and the given next-state equations, what is the next state if the current state is AB=00 and x=1?
In the state table for a sequential circuit with two D flip-flops and the given next-state equations, what is the next state if the current state is AB=00 and x=1?
Which type of flip-flop is required to design a counter with a repeated binary sequence using T flip-flops?
Which type of flip-flop is required to design a counter with a repeated binary sequence using T flip-flops?
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Study Notes
Digital Logic Design Exam Paper
Boolean Functions and Number Systems
- Given a Boolean function F, the simplest form can be found using Boolean algebra.
- 1's complement and 2's complement methods can be used to subtract binary numbers.
Code Generators and Adders
- An excess-3 code generator can be designed for a four-bit binary number using logic gates.
- The circuit has four inputs and four outputs.
- A 4-bit parallel adder can be constructed using full adders.
Boolean Function Implementation
- The Boolean function F = ab'cd + abc'd' + a'bc'd + abcd can be implemented using 2x4 decoders.
Sequential Circuits
- A sequential circuit can be designed using two D flip-flops, A and B, with one input x and one output z.
- The circuit can be specified by next-state and output equations.
- The logic diagram, state table, and state diagram can be derived from the equations.
- Counters can be designed with a repeated binary sequence using T flip-flops.
- Sequential circuits can be designed with two J-K flip-flops, A and B, and one external input x to achieve specific state transitions.
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