# Recent questions tagged of

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I have a doubt it may be stupid though. know that if ∑m (1,3,5,6) then its equivalent POS form is = πM (0,2,4,7) But my doubt is say i need to represent 7, in SOP i write ABC in POS i write (A'+B'+C') ∑m (1,3,5,6) = A'B'C + A'BC+AB'C+ABC' if i take complement ... 3,5,6) then why we say that SOP is complement of POS and why ∑m (1,3,5,6) != πM(1,3,5,6) ? as according to above they seems to be equal.
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The sum of product (SOP) form of logic expression is most suitable for designing logic circuit using only A) NAND gate B)NOR gate
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Q) In a K-map it was found out that Essential Prime Implicants are covering all terms except 2 min terms.Those 2 min terms are in turn covered by 3 Non-essential Prime Implicants each. What is the number of minimal Sum Of Product(SOP) expressions?
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Identify the language generated by the following grammar: $S->AB$ $A->aAb|\epsilon$ $B->bB|b$ (A)$\{a^m b^n|n≥m, m>0\}$ (B)$\{a^m b^n|n≥m, m≥0\}$ (C)$\{a^m b^n|n>m, m>0\}$ (D)$\{a^m b^n|n>m, m≥0\}$ I select option C but it is wrong, correct answer is option D. I could not understand Gradup answer explanation.Please help me to rectify my fault.
1 vote
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For what values of $\lambda$ the system of equations will have $2$ linear independent solutions - $x + y + z = 0$ $(\lambda + 1) y + (\lambda + 1) z = 0$ ($\lambda^{2}- 1) z = 0$ Now the problem i'm facing is if there is $2$ Linear ... rank of matrix will be $1$. Can anyone please explain in simple why the rank of matrix should be $1$ if we need $2$ Linear Independent solution. Thankyou.