Q32

MCQ2 marks, −0.67

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 function is computed by considering $b_{3} b_{2} b_{1} b_{0}$ as a $4$ -bit binary number, where $b_{3}$ denotes the most significant bit and $b_{0}$ denotes the least significant bit. Note that there are no don't care terms. Which ONE of the following options is the CORRECT minimized Boolean expression for $F$ ?

(A)

$\bar{b}_{1} \bar{b}_{0}+\bar{b}_{2} \bar{b}_{0}+b_{1} \bar{b}_{2} b_{3}$

(B)

$\bar{b}_{1} \bar{b}_{0}+\bar{b}_{2} \bar{b}_{0}$

(C)

$\bar{b}_{2} \bar{b}_{0}+b_{1} b_{2} b_{3}$

(D)

$\bar{b}_{0} \bar{b}_{2}+\bar{b}_{3}$

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