ABNOTCDNOT+ANOTBCDNOT+ABNOTCNOTD+ANOTBCNOTD
6. Construct circuits from inverters, AND gates, and OR gates for each of the following Boolean...
For each of the following expressions, construct the corresponding logic circuits using AND, OR, and NOTs. a. X = AB’+C(A’+B) b. Z = A’C’+(AB)’ + B’C c. Y = A’D’ (B+ĀC’) (A and D are OR together as well as AC)
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
3. () Use only NAND gates to implement the Boolean function F AC +BC. (ii) Use only NOR gates to implement the Boolean function F AB+BC. Write the truth tables and draw the logic circuits for the following Boolean functions: (i) F A +BC'. (ii) F AB +C'+D. 4.
Q2) The following is a Boolean expression of a Combinational Logic Circuit. Construct the truth table and a Combinational Logic circuit using AND, OR and NOT logic gates for the Boolean expression. Redraw the logic circuit using only NAND gates. 19 Marks) X = A B C +ABC + ABC
A truth table can be implemented with different boolean expressions and different circuits True False Question 5 (2 points) The boolean expression "not x or y" is equivalent to the boolean expression "x or not Y" True False Question 6 (2 points) The boolean expression (x or y) and x is equivalent to the boolean expression (x and y) ory True False
How are the following used in electronic circuits: Seminconductors Diodes Transistors Logic gates Intergrated circuits
Change this code to implement a 2-input XOR gate starting from two AND gates, two inverters, and one OR gate. module Full Adder ( input X1, X2, Cin, output s, Cout) wire al, a2, a3; xor ul (al,X1,X2) and u2 (a2,x1,x2); and u3 (a3,al,cin) or u4 (Cout,a2,a3); xor u5 (S,al,cin); endmodule
Given the following boolean expression: F=ABC + ABC + ABC 1. Simplify the expression and produce an equivalent operation using only NAND operations. 2. A logic diagram implementing the simplified expression using only inverters and NAND gates.
Draw the equivalent circuit for the following Boolean expression using AND, OR and NOT gates only rc). YC AB+CB+ AB
(18 pts) Given the Boolean function F(A, B, C, D) = Σ (0, 1, 2, 3, 4, 5, 7, 8, 10, 12, 14) a. Draw a Karnaugh Map. b. Identify the prime implicants of F. c. Identify all Essential Prime Implicants of F. d. Derive minimal SOP expressions for F e. Derive minimal POS expressions for F. f. Assume each inverter has a cost of 1, each 2-input NAND gate has a cost of 2, and 4-input NAND gate has...