4. Digital Systems

Boolean Logic — Quiz

Test your understanding of boolean logic with 5 practice questions.

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Practice Questions

Question 1

Using a Karnaugh map, find the minimal sum-of-products expression for the function $F(A,B,C,D)=\Sigma(1,3,7,11,15)$.

Question 2

Simplify the Boolean expression $F=AB + A' C + AC$ to its simplest form.

Question 3

Given the implementation $Y=\overline{\bigl(\overline{A+B}\bigr)\,\bigl(\overline{CD}\bigr)},$ derive the equivalent sum-of-products expression for $Y$.

Question 4

A 4-to-1 multiplexer has inputs $D_0=0$, $D_1=A$, $D_2=B$, $D_3=1$ and select lines $S_1,S_0$. Which is the simplified output $F$?

Question 5

Which sum-of-products expression implements the function that is 1 if and only if exactly one of $A,B,C$ is 1?