Assignment of logic design, Exercises of Logic

Logic Design assignment of module 1

Typology: Exercises

2018/2019

Uploaded on 09/17/2019

Sunitha.P
Sunitha.P 🇮🇳

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Malnad College of Engineering
Department of Computer Science and Engineering
Assignment – 1
Subject : Analog and Digital Logic – CS303
Course Outcome covered : CO1
Program outcome mapped : PO1
Sl.No Questions
1. Write the Boolean expression (in Sum of Products form) for the logic circuit that will have
a 1 output when X = 0, Y = 0, Z = 1 and X = 1, Y = 1, Z = 0, and a zero (0) output for all
other input states. Draw the logic diagram for this circuit.
2. Using K-map, simplify the following Boolean algebraic expressions using Sum-of-
Products: A’B’C’ + AB’C’ + ABC + A’BC’ + A’B’C (Terms 3, 4, and 5 are Don’t Care)
3. Given the function F(W,X,Y,Z) = m(1,5,7,8,9,15) + d(4,14).
Find the minimum Sum-of-Products using Q & M method. Show your work including the
charts.
4. Design a combinational circuit with three inputs and one output. The output is 1 when the
binary value of the inputs is less than 3. The output is 0 otherwise.
5. A PN flip-flop has four operations: clear to 0, no change, complement, and set to 1, when
inputs P and N are 00, 01, 10, and 11, respectively.
a) Tabulate the characteristic table.
b) Derive the characteristic equation.
c) Tabulate the excitation table.
d) Show how the PN flip-flop can be converted to a D flip-flop.
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Malnad College of Engineering Department of Computer Science and Engineering Assignment – 1

Subject : Analog and Digital Logic – CS Course Outcome covered : CO Program outcome mapped : PO

Sl.No Questions

  1. (^) Write the Boolean expression (in Sum of Products form) for the logic circuit that will have a 1 output when X = 0, Y = 0, Z = 1 and X = 1, Y = 1, Z = 0, and a zero (0) output for all other input states. Draw the logic diagram for this circuit.
  2. (^) Using K-map, simplify the following Boolean algebraic expressions using Sum-of- Products: A’B’C’ + AB’C’ + ABC + A’BC’ + A’B’C (Terms 3, 4, and 5 are Don’t Care)
  3. (^) Given the function F(W,X,Y,Z) = m(1,5,7,8,9,15) + d(4,14). Find the minimum Sum-of-Products using Q & M method. Show your work including the charts.
  4. (^) Design a combinational circuit with three inputs and one output. The output is 1 when the binary value of the inputs is less than 3. The output is 0 otherwise.
  5. (^) A PN flip-flop has four operations: clear to 0, no change, complement, and set to 1, when inputs P and N are 00, 01, 10, and 11, respectively. a) Tabulate the characteristic table. b) Derive the characteristic equation. c) Tabulate the excitation table. d) Show how the PN flip-flop can be converted to a D flip-flop.
  1. (^) A sequential circuit with two D Flip-Flops, A and B; two inputs, x and y; and one output, z, is specified by the following next-state and output equations: A(t+1) = x′y + xA B(t+1) = x′B + xA z = B a) Draw the logic diagram of the circuit. b) List the state table for the sequential circuit. c) Draw the corresponding state diagram.