SIMPLIFY THE FOLLOWING USING BOOLEAN THEOREMS OR DE MORGAN’S LAW INCLUDING STEPS:

Engineering

2 answers:

MatroZZZ [7]2 years ago

8 0

Answer:De Morgan's theorem

De Morgan's theorem states (Equation 1.16) that complementing the result of OR'ing variables together is equivalent to AND'ing the complements of the individual variables. Also (Equation 1.17), complementing the result of AND'ing variables together is equivalent to OR'ing the complements of the individual variables.

Example 1.9

Use Boolean algebra and de Morgan's theorem for two variables,

A+B

⋅

, to show that the form given in Equation 1.16 for three variables is also true.

Solution

A+B+C

(A+B)+C

associative law

=(A+B)⋅

De Morgan′s theorem

⋅

)⋅

De Morgan′s theorem

⋅

associative law

Example 1.10

Draw the circuits that will perform the functions described by both sides of the first of De Morgan's theorems (Equation 1.16) given in Table 1.4, and also demonstrate the theorem is true using a truth table.

Explanation:

Marizza181 [45]2 years ago

3 0

Please help i will give you 90 points: How did Susan B. Anthony affect the women's suffrage movement?

She served as president of the the National Women's Suffrage Association.

She started a feminist newspaper that focused on abolition.

She was a traveling African American preacher who made speeches about abolition and women's suffrage.

She created the National Women's Party, which was known for bold protests.

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A cylindrical metal specimen having an original diameter of 10.55 mm and gauge length of 54.5 mm is pulled in tension until frac

kumpel [21]

Answer:

(a) 53.94%

(b) 26.61%

Explanation:

Change in area will be given by

$\triangle A=\frac {\pi(R_o^{2}-r_n^{2})}{\pi R_o^{2}}$ where $\triangle A$ represent change in area R is radius and subscripts O and n represent original and new respectively.

Substituting 10.55/2 for original radius and 7.16/2 for new radius then

$\triangle A=\frac {\pi(5.275^{2}-3.58^{2})}{\pi 5.275^{2}}\times 100\approx 53.94$

(b)

Similarly, percentage elongation will be found by dividing the change in length by the the original length. In this case, rhe original length was 54.5mm and goes to 69 mm so the change in length is given by subtracting the final length from the original length

Percentage elongation is $\frac {69-54.5}{54.5}\times 100\approx 26.61$