Chapter#3: Bolean Algebra and Logic Simplification

All exercise Short Questions of Bolean Algebra and Logic Simplification of Digital Electronics book for BS/MSc Physics students.

Q.1 Determine the value of A,B,C  and D that make the sum term A+B+C+D equal to 0.

Q.2 Determine the values of A,B,C and D that make the product term ABCD equal to 1.

Q.3 If A, what does  A^ equal?

Q.4 Determine the values of A,B and C that makes the sum term $\bar{A}+\bar{B}+\bar{C}$ equal to 0.

Q.5 Apply the distributive law to the expression A(B+C+D).

Q.6 Apply DeMorgan’s theorem to each of the following expression

(a) $\overline{(A+B+C)D}$        (b) $\overline{ABC+DEF}$       (c) $\overline{A\bar{B}+C\bar{D}+EF}$

Q.7 Apply DeMorgan’s theorem to each of the following expression

(a) $\overline{\left(A+B\right)+C}$           (b) $\overline{\left(\bar{A}+B\right)+CD}$      (c) $\overline{\left(A+B\right)\bar{C}\bar{D}+E+\bar{F}}$

Q.8 The Boolean expression for an exclusive-OR gate is $A\bar{B}+\bar{A}$. With  this a starting point, use DeMorgan’s theorem and any other rules or laws that are applicable to develop an expression for the exclusive-NOR gate.

Q.9 Use a Karnaugh map to minimize the following POS expression:

$$\left(B+C+D\right)\left(A+B+\bar{C}+D\right)\left(\bar{A}+B+C+\bar{D}\right)\left(A+\bar{B}+C+D\right)(\bar{A}+\bar{B}+C+D)$$

Q.10 Map the following SOP expression on a Karnaugh map:

$$\bar{B}\bar{C}+A\bar{B}+AB\bar{C}+A\bar{B}C\bar{D}+\bar{A}\bar{B}\bar{C}D+A\bar{B}CD$$