1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andrei [34K]
3 years ago
11

(a) Plot the following function ona Karnaugh map.(Do not expand to minterm form before plotting.)

Mathematics
1 answer:
makvit [3.9K]3 years ago
4 0

Answer:

a) the K-map is in the attachment

<em>f = Σ</em>m(0,1,2,3,6,10,14,15)

b) from the k-map, the minimum sum of products is

F = A'B' + CD' + ABC

c) the minimum product of sums is

F = (B' + C)(A' + C)(A+ B' +D')(A' + B + D')

Step-by-step explanation:

A Karnaugh map (K-map) is a pictorial framework used to limit the Boolean expressions without utilizing Boolean algebra theorems and equation controls.

a) the given function is <em>f</em>(A,B,C,D)=A‘B’+CD’+ABC +A’B’CD’+ABCD’

expanding the function as four variable terms

<em>f</em>(A,B,C,D)=A‘B’+CD’+ABC +A’B’CD’+ABCD’

= A'B'(C + C')(D + D')+(A + A')(B + B")CD' + ABC(D + D') + A'B'CD' + ABCD'

= A'B'CD + A'B'CD' + A'B'C'D' + ABCD' +AB'CD' + A'BCD' + A'B'CD' + ABCD +ABCD' + A'B'CD' + ABCD'

=A'B'CD + A'B'CD' + A'B'C'D + A'B'C'D' + ABCD' + AB'CD' + A'BCD' +ABCD

<em>f = Σ</em>m(0,1,2,3,6,10,14,15)

note: diagram is in the attachment

b) the minterms for the minimum sum of product are

<em>f = Σ</em>m(0,1,2,3,6,10,14,15)

simplifying the K-map(done in the attachment)

from the k-map, the minimum sum of products is

F = A'B' + CD' + ABC

c) the maxterms for the minimum product of sums are

<em>f </em>= ПM(4,5,7,8,9,11,12,13)

plot the K-map to find minimum product of sums(done in the attachment)

the minimum product of sums is

F = (B' + C)(A' + C)(A+ B' +D')(A' + B + D')

You might be interested in
The sum of twice a number and 4 is equal to the sum of the number and 8
zalisa [80]

Answer:

4

Step-by-step explanation:

Variable: X = Unknown Number

2x + 4 = x + 8

2x - x = 8 - 4

x = 4

Check:

2(4) + 4 = 4 + 8

8 + 4 = 12

12 = 12

3 0
3 years ago
Find the sum of the first 6 terms of the series 3-6+12-24+
irinina [24]
Theres only 4 but the answer is -15
3 0
3 years ago
Read 2 more answers
Please help me It's math I will give you extra points.
pentagon [3]
It’s the one you are on
5 0
2 years ago
Find the percent decrease. Round to the nearest percent.<br><br><br> From 90°F to 70°F
Goryan [66]

Answer:

22

Step-by-step explanation:

90*x = 70

x = 7/9

x = 78%

100-78 = 22

3 0
3 years ago
Five minus 6 times a number is equal to -11 plus 2 times the number​
zepelin [54]

Answer:

No its not equal

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • The a value of a function in the form f(x) = ax2 + bx + c is negative. Which statement must be true?
    14·2 answers
  • Problem: a circle is inscribed in a square. The squares perimeter is 16 times the square root of 6. What is the probability of s
    13·1 answer
  • Find each sum or difference <br> -1/2 + 1/3
    5·2 answers
  • CAN SOMEONE HELP REALLY FAST IM ON A TIMED TEST!!!!!The volume of a cube is 64 cubic inches. Which expression represents s, the
    8·2 answers
  • Volume of a cylinder with a radius of 3 and a height of 2
    10·1 answer
  • If u can help me and show work plzzz!!!
    5·1 answer
  • Which characteristics best describe an acute isosceles triangle?
    14·2 answers
  • Convert 5pie/3 radians to degrees
    9·1 answer
  • Hockey teams are often confronted with the dilemma of whether or not to pull a goalie at the end of the game when they are down
    5·1 answer
  • Josh travels frequently. For a particular airline, it takes 20 minutes for the first bag to arrive in baggage claim after a flig
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!