Digital Logic Design Exam Paper

What is the simplest form of the Boolean function $F = a'b'c' + a'bc' + ac' + c'd$ using Boolean algebra?

What is the result of subtracting 11011100 - 10101010 using 1's complement?

Which components are required to design a 4-bit parallel adder?

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?

Which type of flip-flop is required to design a counter with a repeated binary sequence using T flip-flops?

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.

Solve problems on Boolean algebra, binary subtraction, and digital circuit design. Quiz covers digital logic design concepts, including code generation and parallel addition.