1.Simplify the following expression using tabulation method ONLY: F(A,B,C) = ABC + ABC + ABC + ABC + ABC

2.Design a circuit diagram for the following comparator system that takes three 3-bit binary numbers [A, B and C] as inputs and outputs in the following fashion: Output=1; if A-5>2B ;Output=0; otherwise.

NB1: You need to show a gate level diagram for the comparator, meaning you cannot use block diagram of magnitude comparator. However, you may use block diagrams of any other ICs you require.

NB2: Drawing the circuit diagram horizontally in your script may help you.

NB3: You cannot change the equation.You must draw the circuit for the given equation.

3.Construct the circuit of the following function using 3:8 decoder and 2:4 decoder only: F(A,B,C,D) =(A+B)(C+D) NB: You must use both the decoders in a single circuit. Your circuit should be cost efficient, meaning you have to use the lowest number of components possible. You should use external gates for connecting inputs/outputs if required.

4.Consider the following sequential circuit. Determine its state table and state diagram.