Question
Asked Oct 6, 2019
2 views

PLEASE EXPLAIN ALL STEPS

Develop a k-map to simplify the equation (truth table included)

a xz(xyz)
To begin our simplification, we will first make our truth table for our equation. To do this, we will
start by breaking apart our expression into its singular variables, and then into our full expression's
terms (which are in parentheses, so that our final terms for the equation are a bit easier to
identify)
(XZ)
X
Z
XY
(~Z)
(XY~Z)
XZ)XY(~Z))
0
C
C
0
0
0
0
1
1
1
0
C
1
0
C
1
1
0
2
0
1
10
0
0
C
1
1
0
0
1
1
1
3
1
0
0
0
0
1
1
1
4
1
C
1
0
C
0
1
5
1
0
1
1
C
1
1
1
1
1
C
1
1
7
help_outline

Image Transcriptionclose

a xz(xyz) To begin our simplification, we will first make our truth table for our equation. To do this, we will start by breaking apart our expression into its singular variables, and then into our full expression's terms (which are in parentheses, so that our final terms for the equation are a bit easier to identify) (XZ) X Z XY (~Z) (XY~Z) XZ)XY(~Z)) 0 C C 0 0 0 0 1 1 1 0 C 1 0 C 1 1 0 2 0 1 10 0 0 C 1 1 0 0 1 1 1 3 1 0 0 0 0 1 1 1 4 1 C 1 0 C 0 1 5 1 0 1 1 C 1 1 1 1 1 C 1 1 7

fullscreen
check_circle

Expert Answer

Step 1

 Given boolean expression = xz + (xy + ~z)

Now by using given truth table, draw a K-map of 8 cells by following the steps given below-

a) Fill 1 at decimal equivalent number 0,4,2,5,6,7 as per the given question accordingly in the K-map.

b) Then first look for the octets, if there is no octet then search for quad and then for pairs and at the end if there is no such pair then search for singlet.

c)In this question it is c...

help_outline

Image Transcriptionclose

YZ Y Z Y Z Y Z X 1 1 X 2 1 1 1 1 X 7

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Engineering

Computer Science

Boolean Logic

Related Computer Science Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: I keep getting an error message, What is wrong with my code. Please

A: Note: The user given code is corrected as per the required output.The necessary comments are added f...

question_answer

Q: Write a program that computes the monthly net pay of the employee for a steel factory. The input for...

A: Employee’s gross salary is calculated by following formula , datatype and variables:Variables:rop= r...

question_answer

Q: I am changing careers and avoided math my entire academic life. Can you please tell me what math is ...

A: Importance of math in web development:For beginners, both arithmetic and basic algebra should be min...

question_answer

Q: Given the information below, create the fully labeled Crow's Foot ERD using a specialization hierarc...

A: The fully labelled Crow's Foot ERD using a specialization hierarchy is given below. The ERD contain ...

question_answer

Q: I am working on Python. I have been asked to write a program for this question. Write a program that...

A: The below source code will take the input from the user as many times as the user wants until the us...

question_answer

Q: What is the difference between a while loop and a for loop in javascript?

A: Difference between while loop and for loop in JavaScript:

question_answer

Q: Write a python code of a function that takes in four points in a counterclockwise order, a, b, c, d ...

A: Program Instructions:Create a function isConvex() and pass the four points as arguments.Save the par...

question_answer

Q: Concentric circle(15) NUM_CIRCLE=15 OFFSET=15 pensize(innercircle)=5 pensize (outercircle)=2 Circle ...

A: Instructions to draw concentric circles:Initialize NUM_CIRCLE and OFFSET to 15. And, create a turtle...

question_answer

Q: Develop (separate) truth tables for the following equations: 1)  (A+B)(B+C) 2) (X*Y)*~(Z)3) (A+B) ⊕ ...

A: Truth table is used to simplify the Boolean expression in digital electronics. Number of gates used ...