Recent questions tagged canonical-normal-form

The logic circuit below has three inputs, $X$, $Y$, and $Z$, and two outputs, $F$ and $G$. Which of the below given minterm list for output $F$ is correct?$\Sigma(0,1,2,4...

The function $\mathbf{F}(\mathbf{A}, \mathbf{B}, \mathbf{C})=\sum(\mathbf{1}, \mathbf{2}, \mathbf{3}, \mathbf{5}, \mathbf{7})$ is equivalent to$\bar{C}+\bar{A} B$$C+A B$$...

Minimize the below expression$$F(a, b, c, d)=\left(\left(a+b^{\prime}+d^{\prime}\right) \cdot(c+d) \cdot\left(a^{\prime}+c+d\right) \cdot\left(a+b+d^{\prime}\right)\right...

From the truth table below, determine the standard SOP expression.InputsOutputABCX00000011010001111000101011011110$ X=\bar{A} \bar{B} \bar{C}+A B C+A \bar{B} C$$ X=A B C+...

Consider $4$-variable functions $f 1, f 2, f 3, f 4$ expressed in sum-of-minterms form as given below.$$\begin{array}{l}f 1=\sum(0,2,3,5,7,8,11,13) \\f 2=\sum(1,3,5,7,11,...

Should we use Don't care terms while calculating POS expression?

Are multiple SOP and POS expressions possible such that they all are unique ?

The minimum number of $T$ –gates required to implement the following function is$$F(w,x,y,z) = \sum m (0,1,2,4,7,8,9,10,12,15) $$

The Min-term expansion of $F(P,Q,R)= PQ+Q\bar R+P\bar R$ is$m_2 + m_4 + m_6 + m_7$$ m_0 + m_1 + m_6 + m_7$$m_0 + m_1 + m_3 + m_5$$m_2 + m_3 + m_4 + m_5$

Answer is 2 minimal and 2 canonical covers.Please give full explanation of how to solve.