Digital-Systems-HW3

pdf

School

Arizona State University *

*We aren’t endorsed by this school

Course

MISC

Subject

Electrical Engineering

Date

Feb 20, 2024

Type

pdf

Pages

Uploaded by EarlCrown13337

Digital Systems HW3 1. Simplify the following terms as much as possible: a. X'y'z+yz+xz = z(x'y'+y+x) = z(x'+y+x) = z b. (x'+xyz')+(x+x'y'z)(x(x'+y'+z'))' = (x'+yz')+(x+y'z)(x'+(x'+y'+z)') = (x'+yz')+(x+y'z)(x'+xyz') = x'+yz'+(x+y'z)(x'+yz') = x'+yz' c. (x+xy)(x+x'z)(y’+yz’)+(x(y’+z’))’ = (x+xy)(x+x'z)(y'+yz')+(x'+(y'+z')') = (x+xy)(x+x'z)(y'+yz')+(x'+yz) = (x+z+xy)(y'+z')+x'+yz' = xy'+xz'+zy'+1+xyz'+x'+yz' = 1 2. Find the dual expression and the complementary expression for the following function: Y=(x+y)[x'y'+z'] Dual: Z = xy+z'(x'+y') // Dual is only for identities... Z has no relation to Y Complementary: Y' = x'y'+z(x+y) 3. Find the values of the following Boolean variables A, B, C for which the following expressions hold true: AC=A' CB+A=1 B'(C+C')=C A=1, B=1, C=0 4. Build a truth table for the following expressions: a. F=(AB·CB')'(C'+A')B A B C F 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 1

1 0 0 0 1 0 1 0 1 1 0 1 1 1 1 0 b. F=(x'+zy')(xyz)' x y z F 0 0 0 1 0 0 1 1 0 1 0 1 0 1 1 1 1 0 0 0 1 0 1 1 1 1 0 0 1 1 1 0 c. F=(A+AB+BC'+C)C' A B C F 0 0 0 0 0 0 1 0 0 1 0 1 0 1 1 0 1 0 0 1 1 0 1 0 1 1 0 1 1 1 1 0 5. Prove that the following function forms a complete set f(x,y,z) = x’(y’+z) f(a,a,a) = a’(a’+a) = a’ f(f(a,a,a),a,b) = f(a’,a,b) = a’’(a’+b) = a(a’+b) = aa’ + ab = ab

6. Which of the following expressions are the in POS form and which ones are in the SOP form? (There may be some which are neither.) a. F1=m+m'n+mn'o SOP b. F2=A'+B SOP c. F3=x+x'y'+y(x'+z) Neither d. F4=A(BC'+B'C) Neither 7. Fill in the following table: F(A,B,C) ∑(0,1,3) m0+m1+m3 𝚷 (2,4,5,6,7) M2M4M5M6M7 F(A,B,C,D) ∑(0,2,4,5,10,1 1,13,14) m0+m2+m4+m5+m10+m 11+m13+m14 𝚷 (1,3,6,7,8, 9,12,15) M1M3M6M7M8M9M 12M15 F(∆,Ω,μ) ∑(0,2,3,5,6,7) m0+m2+m3+m5+m6+m7 𝚷 (1,4) M1- 1M4 8. Express the following functions as SOP expressions or as POS expressions: a. F(A,B,C,D)=D(A'+B)+B'DC CD\AB 00 01 11 1 0 00 0 0 0 0 01 1 1 1 0 11 1 1 1 1 10 0 0 0 0 F(A,B,C,D) = D(A’+B+C) b. F(x,y,z)=(xy+z)(y+xz) = xyy + xxyz + zy + xzz = xy + xyz + zy + xz z\xy 00 01 11 1 0 0 0 0 1 0 1 0 1 1 1 F(x,y,z) = (x+y)(z+x)(z+y)

Your preview ends here

Eager to read complete document? Join bartleby learn and gain access to the full version

Access to all documents
Unlimited textbook solutions
24/7 expert homework help

Related Documents

EGR151 Lab 4 v2 SU21-2.pdf

Netlogo.Report.docx

ECE 121-Lab#1_Assignment_Introduction to PSpice.pdf

gcs_projects.pdf

Director Lecture Series.docx

Digital-Systems-HW5.pdf

Digital-Systems-HW2.pdf

DataAnalyticsFinalExamAnswers.pdf

Quiz Airport & Air Traffic Control Safety.docx

Semiconductors HW 5.docx

EEL 3705L-2024-Spring-Lab2-v1-0.pdf

CNT-4007 Homework 1.pdf

Related Questions

For the counter shown below,the sequence of counting for this counter is (in decimal): CLK PL U/D Operation Q3 Q2 QI Q0 PL D3 D2 DI DO Load UID Counts up Counts down clk 0 1 1 1 Select one: 1 2 3→4→1→2...etc O11 10 9→8→7→11.....etc 7 8 9 10→11→12→7→8.....etc 12 11 10-9→8→7→12.....etc O7 8→9→10→11→7, 8, ....etc 3 2 1 0→3.....etc 0 1 2 3→0→1...etc 3-2 1+3...etc 4 3→ 2→1→4→3.....etc Answer is not listed X个不

Problem Assign Unit 3 Write the Boolean Equation Unit 3 Obtain the sum of products Description A B C a .X (W+X' + Z') (W' + Y')(W' + X + Z') (W+X') (W+Y+Z)

Q2) determine A>B, A

Given the following State diagram and State assignments, Select the correct expression for Y1* from the choices provided. Y1 Yo State Up 1 Down Left 1 1 Right O Y1* = Yo . X + Y1. Yo + Y1. Yo. X 0/0 X/Z/ State O Y1* = Y1' . X + Y1. Yo' O Y1* = Y1' .X'+ Y1. X' 1/1 Up 1/1 O Y1* = Y1. X' + Y1'.X 0/0 0/0 Left 0/0 Right 1/1 1/1 Down

Q4: Simplify the following Boolean expression using K-Map x'z+w'xy'+w(x'y+xy') (check image for reference)

Q1: A sequential circuit has one inputs X and one output (Z) is used to detect the sequence 1011. The output Z=1 when the circuit detect the sequence 1011, otherwise Z =0. Sketch the stated diagrams of the following specifications: 1. Moor model and the overlap is allowed. 2. Moor model and the overlap is not allowed. 3. Mealy model and the overlap is allowed. 4. Mealy model and the overlap is not allowed. 5. Discuss your results.

Given A = 40 and B = 60 in base 10. %3D %3D convert A and B to binary using 7 digits find – B in binary using 2's complement Find S = A+ (-B)in binary, Convert the result using 2' scomplement method to find the S in decimal representation. (you should get – 20).

Can u help me for hw

SEE MORE QUESTIONS

Recommended textbooks for you

Introductory Circuit Analysis (13th Edition)

Electrical Engineering

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:PEARSON

Delmar's Standard Textbook Of Electricity

Electrical Engineering

ISBN:9781337900348

Author:Stephen L. Herman

Publisher:Cengage Learning

Programmable Logic Controllers

Electrical Engineering

ISBN:9780073373843

Author:Frank D. Petruzella

Publisher:McGraw-Hill Education

Fundamentals of Electric Circuits

Electrical Engineering

ISBN:9780078028229

Author:Charles K Alexander, Matthew Sadiku

Publisher:McGraw-Hill Education

Electric Circuits. (11th Edition)

Electrical Engineering

ISBN:9780134746968

Author:James W. Nilsson, Susan Riedel

Publisher:PEARSON

Engineering Electromagnetics

Electrical Engineering

ISBN:9780078028151

Author:Hayt, William H. (william Hart), Jr, BUCK, John A.

Publisher:Mcgraw-hill Education,

SEE MORE TEXTBOOKS

Related Questions

Recommended textbooks for you

Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:PEARSON
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Cengage Learning
Programmable Logic Controllers
Electrical Engineering
ISBN:9780073373843
Author:Frank D. Petruzella
Publisher:McGraw-Hill Education
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:9780078028229
Author:Charles K Alexander, Matthew Sadiku
Publisher:McGraw-Hill Education
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:9780134746968
Author:James W. Nilsson, Susan Riedel
Publisher:PEARSON
Engineering Electromagnetics
Electrical Engineering
ISBN:9780078028151
Author:Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:Mcgraw-hill Education,