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A function of Boolean variables x, y and z is expressed in terms of the min-term as F(x,y,z) = Σ(1,2,5,6,7). Which one of the product of sums given below is equal to F(x,y,z)
- a)
- b)
- c)
- d)
Correct answer is option 'B'. Can you explain this answer?
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A function of Boolean variablesx, y and zis expressed in terms of the ...
A Boolean expression consisting purely of Minterms (product terms) is said to be in the canonical sum of products form.
A Boolean expression consisting purely of Maxterms (sum terms) is said to be in the canonical product of sums form.
a) (A + B)(C + D) – POS form
b) (A)B(C + D) – POS form
c) AB + CD – SOP form
Calculation:
Given logic, expression is minterm expression.
F(x,y,z) = Σm(1,2,5,6,7)
The max term expression will be formed by the terms which are not present in the min-term expression.
By converting the above min-term expression into max term expression,
F(x,y,z) = Σm(1,2,5,6,7) = πM(0,3,4)
We get
A Boolean expression consisting purely of Maxterms (sum terms) is said to be in the canonical product of sums form.
a) (A + B)(C + D) – POS form
b) (A)B(C + D) – POS form
c) AB + CD – SOP form
Calculation:
Given logic, expression is minterm expression.
F(x,y,z) = Σm(1,2,5,6,7)
The max term expression will be formed by the terms which are not present in the min-term expression.
By converting the above min-term expression into max term expression,
F(x,y,z) = Σm(1,2,5,6,7) = πM(0,3,4)
We get
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A function of Boolean variablesx, y and zis expressed in terms of the min-term asF(x,y,z) = Σ(1,2,5,6,7). Which one of the product of sums given below is equal to F(x,y,z)a)b)c)d)Correct answer is option 'B'. Can you explain this answer?
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