Q: No.1: An 8x1 Mux has inputs A, B, C connected to the selection
Lines S2, S1, S0 respectively. Determine the Boolean function if
the data inputs I0 through I7 are as follows:

I1 = I2 = I7 = 0

I0 = I4 = D

I3 = I5 = 1

I6 = D’

Q: No.2: Implement the Boolean function F (A, B, C, D) = Π (2, 6,
11) with

• 8x1 Mux (A,B,C @ Selection Lines)

• 4x1 Mux (B,C @ Selection Lines)

• 2x1 Mux (B @ Selection Line)

Q: No.3: Design a BCD ADDER/SUBTRACTOR (which can perform A+B and
A-B) by using following blocks

• BCD Adder

• 9’s Complementer (Which can produce 9’s Complement of input
BCD)

• Mux (Quadruple 2-to-1 line Mux)

Just use the block diagrams. Don’t need to go into circuit details
of the blocks.

Q: No.4: The system is a speed warning device. It receives, on two
lines, an indication of the speed limit on the highway. There are
three possible values 45, 55, or 65 MPH. It receives from the
automobile, on two other lines, an indication of the speed of the
vehicle. There are four possible values under 45, between 46 and
55, between 56 and 65, and over 65 MPH. It produces two outputs.
The first f indicates whether the car is going above the speed
limit. The second g indicates that the car is driving at “dangerous
speed” – defined as either over 65 MPH or more than 10 MPH above
the speed limit. Show how each of the inputs and outputs is coded
(in terms of binary values) and complete the truth table for the
system. Design the system using the appropriate size of
multiplexers.

Q: No.5: We have a new flip-flop with three inputs S, R and T (in
addition to a trailing edge triggered clock input). No more than
one of these inputs may be 1 at any time. The S and R inputs behave
exactly as they do in an SR flip-flop (that is S puts a 1 into the
flip-flop and R puts a 0 in the flip-flop). The T input behaves as
it does in a T flip-flop (that is it causes the flip-flop to change
state).

(a) Show State diagram for the flip-flop.

(b) Write a state equation of output of S, R, T, and Q.

(c) Create an excitation table for the flip-flop.

Q: No.6:Traffic Control System is being installed on the Islamabad
Highway to decide the speed limit for its Different sections. The
system takes the average of the Speeds of the vehicles in the
morning (7-10 am). It takes the first digit of the average speed to
decide the speed Limit for that particular section (i.e.) if the
average speed Is In the range of 60-69 km/, it will take 6. The BCD
for the very same first digit is being fed into the speed limit
calculator. Calculator will decide the speed limit and turn ON the
indication Light as follows

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