Digital Logic
Q22.
Let, x_{1} \oplus x_{2} \oplus x_{3} \oplus x_{4}=0 where x_{1}, x_{2} , x_{3} , x_{4} are Boolean variables, and \oplus is the XOR operator. Which one of the following must always be TRUE?Q23.
The minimum number of \text{NAND} gates required to implement the Boolean function A + A\bar{B} + A\bar{B}C is equal toQ24.
The boolean expression A B+A B^{\prime}+A^{\prime} C+A C is independent of the boolean variableQ25.
Consider the Boolean operator with the following properties: x \# 0=x, x \# 1=\bar{x}, x \# x=0 and x \# \bar{x}=1. Then x \# y is equivalent toQ26.
The number of min-terms after minimizing the following Boolean Algebra is _________. {[{D}'+A{B}'+{A}'C+A{C}'D+{A}'{C}'{D}]}'Q28.
Given the function F=P'+QR , where F is a function in three Boolean variables P,Q and R and P'=!P, consider the following statements. (S1) F=\Sigma(4,5,6) (S2) F=\Sigma(0,1,2,3,7) (S3) F=\Pi(4,5,6) (S4) F=\Pi(0,1,2,3,7) Which of the following is true?Q29.
Consider the operations f(X,Y,Z)=X'YZ+XY'+Y'Z' and g(X,Y,Z)=X'YZ+X'YZ'+XY. Which one of the following is correct?Q30.
Consider the logic circuit given below.The inverter, AND and OR gates have delays of 6, 10 and 11 nanoseconds respectively. Assuming that wire delays are negligible, what is the duration of glitch for Q before it becomes stable?