Hello there guys, hows everyone doing?
I currently got this question from my nephew asking me how to simplify a Boolean Algebra but I don't know how to, so I was just wondering if anyone could lend me a hand?
The Boolean Algebra is:
W = S . (p + r) . (q + r)
I thought about simpliying it but I only know how to simplify Sum-Of-Products expression and not Products-Of-Sums....so please, can anyone teach me so I can teach my nephew?
EDIT: I think I phrased the question wrong because there is also a table.
p q r S W=S . (p + r) . (q + r)
1 1 1 0 0
1 1 0 1 1
1 0 1 0 0
1 0 0 1 0
0 1 1 0 0
0 1 0 1 0
0 0 1 0 0
0 0 0 0 0
So what the question was asking was:
Develop a Boolean expression W in its simplest form.
So what I did was I found the row of inputs which gave the output (W) as "1" (The row that is bolded), then I put it in the Boolean form:
pqr's = W
then I'm stuck because I don't know how to simplify is using Boolean Algebra.
I currently got this question from my nephew asking me how to simplify a Boolean Algebra but I don't know how to, so I was just wondering if anyone could lend me a hand?
The Boolean Algebra is:
W = S . (p + r) . (q + r)
I thought about simpliying it but I only know how to simplify Sum-Of-Products expression and not Products-Of-Sums....so please, can anyone teach me so I can teach my nephew?
EDIT: I think I phrased the question wrong because there is also a table.
p q r S W=S . (p + r) . (q + r)
1 1 1 0 0
1 1 0 1 1
1 0 1 0 0
1 0 0 1 0
0 1 1 0 0
0 1 0 1 0
0 0 1 0 0
0 0 0 0 0
So what the question was asking was:
Develop a Boolean expression W in its simplest form.
So what I did was I found the row of inputs which gave the output (W) as "1" (The row that is bolded), then I put it in the Boolean form:
pqr's = W
then I'm stuck because I don't know how to simplify is using Boolean Algebra.
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