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
Leokris [45]
3 years ago
5

Multiply out and simplify to obtain a minimum sum-of-products boolean expression:

Mathematics
1 answer:
max2010maxim [7]3 years ago
5 0

Answer:

As per the question, we need to convert product of sum into sum of product,

Given:

(A' +B+C')(A'+C'+D)(B'+D'),

At first, we will solve to parenthesis,

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

As per the Rule, (A+B)(A+C) = A+BC, In our case if we assume X = A'+C', then,

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

Now,  

= (A'+C'+BD) (B'+D') = A'B' + A'D' + C'B' +C'D' +BDB' +BDD"

As we know that AA' =  0, it mean

=A'B'+A'D'+C'B'+C'D'+D*0+B0

=A'B'+A'D'+C'B'+C'D'               as B * 0 and D*0 = 0

Finally, minimum sum of product boolean expression is

A''B'+A'D'+C'B'+C'D'

=

You might be interested in
What amount of money do you have if you have 5 pennies, 13 nickels, 14 dimes, 2 quarters, and one 5 dollar bill?
BartSMP [9]

Answer:

$7.60

Step-by-step explanation:

  • Penny = $0.01
  • Nickel = $0.05
  • Dime = $0.10
  • Quarter = $0.25

( 5 × 0.01 ) + ( 13 × 0.05 ) + ( 14 × 0.10 ) + ( 2 × 0.25 ) + 5

                -<em>The 5 at the end represents the </em><u><em>one</em></u><em> five dollar bill.</em>

Simplified: (solve what is in the parenthesis)

0.05 + 0.65 + 1.4 + 0.50 + 5 = $7.60

4 0
3 years ago
One gram of water has a volume of 1 millimeter. What is the volume of the water if it has a mass of 1 kilogram
Zinaida [17]
There are 1,000 grams in a kilogram. 
Each gram of water has a volume of 1 milliliter (the question said millimeter but that measures length and I think it was meant to say milliliter). 
Since there are 1,000 grams with a volume of 1 millimeter each, the volume is 1,000 milliliters, which is equal to 1 liter. 
Hope this helps!

8 0
3 years ago
Please help. I have attached a picture.
Ksivusya [100]
Answer: Choice C) -1/3

The given line has a slope of -1/3 so anything parallel to that given line is also going to have an equal slope (of -1/3)

To find the slope of that line shown, notice how we drop down 1 unit and the move to the right 3 units when we go from the left point to the right point. Alternatively, you can use the slope formula m = (y2-y1)/(x2-x1) to get the same result.

7 0
3 years ago
Someone help me pls
Delicious77 [7]

Answer:

ans is 5 -¹⁸ thanks for asking

8 0
3 years ago
What is 40/80 simplified?
babymother [125]
The Answer is 1/2... Simplified
5 0
3 years ago
Other questions:
  • 25. Two planes leave the airport at the same time. Their speeds are 135mph and 162mph, and the angle between their two paths is
    14·1 answer
  • Three lightship flash simultaneously at 6 00 a.m the first lightship flashes every 12 sec the second lightship every 30 sec and
    9·1 answer
  • Manila walked 4 miles an hour and arrived home in 30 minutes. Her sister ran 6 miles an hour, how long did it take for her to ge
    14·1 answer
  • The differences between the data points and the estimated regression line are called the
    7·1 answer
  • Target sells 24 bottles of water for $3, and 36 bottles of water for $4. Which is the better buy and by how much?
    10·2 answers
  • In right triangle XYZ, the right angle is located at vertex Y. The length of line segment XY is 12.4 cm. The length of line segm
    9·1 answer
  • A parallelogram is a quad in which both pairs of opposite sides are parallel
    9·1 answer
  • Find the volume of this Composite solid
    12·1 answer
  • A line passes through the point (6-8) and has a slope of
    6·1 answer
  • The lengths, in seconds, of four folk songs are
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!