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3 years ago

12

Use a truth table to verify the ﬁrst De Morgan law (p ∧ q)’ ≡ p’ ∨ q’.

1 answer:

Nutka1998 [239]3 years ago

6 0

Answer:

(p ∧ q)’ ≡ p’ ∨ q’

Step-by-step explanation:

First, p and q have just four (4) possibilities, p∧q is true (t) when p and q are both t.

p ∧ q

t t t

t f f

f f t

f f f

next step is getting the opposite

(p∧q)'

<em>f</em>

<em> t</em>

<em> t</em>

<em> t</em>

Then we get p' V q', V is true (t) when the first or the second is true.

p' V q'

f <em>f</em> f

f <em>t</em> t

t <em>t</em> f

t <em>t</em> t

Let's compare them, ≡ is true if the first is equal to the second one.

(p∧q)' ≡ (p' V q')

<em>f f </em>

<em> t t</em>

<em> t t</em>

<em> t t</em>

Both are true, so

(p ∧ q)’ ≡ p’ ∨ q’

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Answer:

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Step-by-step explanation:

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3 years ago

Can someone pls help me??!?!

GalinKa [24]

Answer:

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Step-by-step explanation:

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2 years ago

Read 2 more answers

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Step-by-step explanation:

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3 years ago

Cassidy has saved $8,000 this year in an account that earns 9% interest annually. Based on the rule of 72, it will take about ye

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Answer:

The number of years in which saving gets double is 8 years .

Step-by-step explanation:

Given as :

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Now,<u> From Compound Interest method</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, 2 × p = p × $(1+\dfrac{\textrm r}{100})^{\textrm n}$

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