For each of the following expressions, construct the corresponding logic circuits using AND, OR, and NOTs....
Please solve it
clearly
2. For each of the following digital circuits, write the logic expression that describes the output in terms of the inputs. There is no need to simplify the logic expressions. (8 points) c D D D A B E Solution A(C+ D) + BE F W X D Solution: Q=(W+X)(Y o Z)
1. Construct a DFA for each of the following regular expressions: a) ab + c b) a*b + c c) ab*c*+ ac 2. Construct an NFA for the following regular expression: a) (a + b)*ab b) a*b* c) a*b* + c d) a* + b* e) a* + b* + ac*
[8] Using properties of Boolean algebra, simplify the following Boolean expressions so they could be built with the minimum number of gates. a. X= A + BC + AB + ABC + B b. Y = AB + B(AC + BC + ABC' + A) C. W = ABC' + AB'C' + B'CD + A'C + BC d. Z = (A + B')' + (ABC')' +A(B + A'C)'
Convert the following logic circuit below to its corresponding logic function without any simplification. 2. Assume that B consists of three bits: B2, B1, and B0. Determine the logic functions that evaluate to 1 (“true”) if and only if the following situations are true. (Reduce each function to the fewest terms and gates using Boolean algebra rules or DeMorgan’s Theorem, as needed.) a. B contains only one 0. b. B contains only one 1. c. B contains an odd number...
For the following functions and using Boolean identities a) Simplify the given functions b) Construct the truth table for both of them showing the output of the original function and the simplified one and compare the two outputs? c) Draw the logic circuits for both the original function and the simplified one? 1. FIX, Y, Z) = X'+Y' + XY'Z 2. F(X, Y, Z) = (X+Y)(X' +Y+Z)
6. Implement the following Boolean expressions using logic gates:o i. L (AB+ AB) (A + B) ii. L ABC + ABC + ABČ rontiers of iii. L = (A+ B). BC iv. L (A+ C). (B D)
For each of the following regular expressions, use (11.2.3) to construct an NFA. a. (ab)* b. a*b* c. (a + b)* d. a* + b*
CMOS only. For the expression F = AB + AC, draw the corresponding logic circuit using (a) CMOS NAND gates only and (b) CMOS NOR gates only.
Name Use SOP, to find Boolean equation for the outputs X, Y, z Construct a logic circuit using AND, OR, and Inverter (NOT) gates which implements the Boolean equations Substitute your logic circuits with NAND gates only, simplify the circuit. 1. 2. 3. Input Outputs A B C 0 0 0 0 0 0 0 0 011 0 0 0
2.22" Convert each of the following expressions into sum of products and product of sums: (a) (AB +C)(B + C'D) (b) x +x(x y)(+z')