Recent questions tagged min-sum-of-products-form

Consider the following $4$-variable Boolean function\[F(A, B, C, D)=\Sigma m(0,1,2,3,8,9,10,11)\]Consider $A$ as MSB, $D$ as LSB. Which one of the following options repre...

Consider a Boolean function $F$ with the following minterm expression:\[F(P, Q, R, S)=\sum m(1,2,3,4,5,7,10,12,13,14)\]Which of the following options is/are the minimal s...

Simplify the boolean function $F(A, B, C, D)=\Sigma(0,2,3,5,7,8,10,11,13,15)$$F=A D+B^{\prime} C+A B^{\prime} D$ $F=A C+B^{\prime} D+A B^{\prime} C$ $F=B D+B^{\prime}D^{\...

The simplification of the Boolean expression $(\overline{\bar{A} B \bar{C}})+(\overline{A \bar{B} C})$ is01ABC

The K-map for a Boolean function is shown in the figure. The number of essential prime implicants for this function is 4 5 6 8

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...

Consider the following four variable Boolean function in sum-of-product form$$ F\left(b_{3}, b_{2}, b_{1}, b_{0}\right)=\sum(0,2,4,8,10,11,12)$$where the value of the fun...

Consider a Boolean expression given by $\text{F(X, Y, Z)}=\sum(3,5,6,7)$.Which of the following statements is/are CORRECT?$\text{F(X, Y, Z)}=\Pi(0,1,2,4)$ $\text{F(X, Y, ...