EE 作业代写 ITI 1100 SAMPLE FINAL EXAM

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ITI 1100

SAMPLE FINAL EXAM

Solutions

EE 作业代写 The solutions to the quadratic equation x²-10x + 14 = 0 are x = 2 and x = 6. What is the base of the numbers? Show your work.

Question 1 (8 points)

a.The solutions to the quadratic equation x²-10x + 14 = 0 are x = 2 and x = 6. What is the base of the numbers? Show your work.

base=8

b.Show that the dual of the exclusive-OR is equal to its complement.

Q2.24 of the book EE 作业代写

x xor y = x’y + xy’ and (x xor y)’ = (x + y’)(x’ + y)

Dual of x’y + xy’ = (x’ + y)(x + y’) = (x xor y)’

c.Find the complement of F = wx + yz; What is the value of FF’ ?

Q2.8 of the book

F’ = (wx + yz)’ = (wx)'(yz)’ = (w’ + x’)(y’ + z’)

FF’ = wx(w’ + x’)(y’ + z’) + yz(w’ + x’)(y’ + z’) = 0

F + F’ = wx + yz + (wx + yz)’ = A + A’ = 1 with A = wx + yz

Question 2 (8 points)

A majority circuit is a combinational circuit whose output is equal to 1 if the input variables have more 1’s than 0’s. The output is 0 otherwise.

Design a 3 input majority circuit by finding the circuit’s truth table, Boolean equation and a logic diagram.

Q4.6 of the book EE 作业代写

F = xz + yz + xy

Question 3 (11 points)

Design a combinational circuit that generates the 9’s complement of a BCD digit by finding the circuit’s truth table, Boolean equation and a logic diagram.

Q4.18 of the book

Inputs: ABCD Outputs: wxyz

d(A, b, c, d) = S(10, 11, 12, 13, 14, 15)

w = A’B’C’

x = BC’ + B’C = B xor C

y= C z = D’

Question 4 (5 points) EE 作业代写

A combinational circuit is specified by the following two Boolean functions:

F₁(A,B,C) = ∑(1,4,6)

F₂(A,B,C) = ∑(3,5)

Implement the circuit with a decoder. Use a block diagram for the decoder and use NAND gates for the gates connected to the decoder outputs.

Q4.27 of the book

Question 5 (8 points)

Implement the following Boolean function with a multiplexer.

F(A,B,C) = ∑(2,4,6)

Q4.32 of the book EE 作业代写

Similar to this one

Question 6 (11 points)

A PN flip-flop has four operations: clear to 0, no change, complement, and set to 1, when the inputs P and N are 00, 01, 10, and 11, respectively.

Q5.4 of the book EE 作业代写

a.Tabulate the characteristic EE 作业代写

b.Derive the characteristic

c.Tabulate the excitation table or the transition table.

Question 7 (8 points)

Derive the state table, state equations and the state diagram of the following sequential circuit:

Q5.8 of the book

Question 8 (10 points) EE 作业代写

For the following state table:

Present State	Next State		Output
	x = 0	x = 1	x = 0	x = 1
a	e	d	0	0
b	d	c	0	1
c	a	e	1	0
d	a	b	1	0
e	d	c	0	1

Q5.12 and 5.13 of the book EE 作业代写

5.13 (a) State: a f b c e d g h g g h a

Input: 0 1 1 1 0 0 1 0 0 1 1

Output: 0 1 0 0 0 1 1 1 0 1 0

(b) State: a f b a b d g d g g d a

Input: 0 1 1 1 0 0 1 0 0 1 1

Output: 0 1 0 0 0 1 1 1 0 1 0

a.Draw the corresponding state diagram. EE 作业代写

b.Tabulate the reduced table.

c.Draw the state diagram corresponding to the reduced state table.

d.Starting from state a, and the input sequence 0111000, determine the output sequence for the above reduced state table.

Question 9 (12 points)

a.The contents of a four-bit register is initially The register is shifted six times to the right with the serial input being 1011100. What is the content of the register after each shift.

Q6.4 of the book EE 作业代写

6.4 0110 => 0011, 0001, 1000, 1100, 1110, 0111, 1011

b.List the sequence of states produced with 3 and 4 flip-flops in a Johnson counter. Theinitial value of the register is 000 and 0000 respectively.

Q6.30 of the book

c.A Johnson counter with n flip-flops produces a sequence of many states? EE 作业代写

d.What is the characteristic equation for the complement output of a JK flip-flop?

Q5.3 of the book

5.3 Q'(t + 1) = (JQ’ + K’Q)’ = (J’ + Q)(K + Q’) = J’Q’ + KQ

Question 10 (8 points) EE 作业代写

Using D flip-flops,

Q6.28 of the book

a.Design a synchronous counter with the following repeated binary sequence 0, 1, 2, 4, 6.

b.Drawthe logic diagram of the

Question 11 (11 points) EE 作业代写

Design a 3-bit ring counter using T Flip-flops. The initial value of the register is 100. Draw the logic diagram of the counter.

Q6.x of the book