Simplify the following Boolean expressions using Karnaugh Map and draw the logic circuits. f = wxyz + wxyz + wxyz + wxỹz + wxyz + wxyz + wãỹz + wãyz
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- Consider the Boolean expression: u = wx + yz + wx'z' + w'y. (a) Draw the Karnaugh map for u.(b) Use the map in part (a) to obtain the Karnaugh map for u'.(c) Express u' as a minimal sum of products.(d) Design a simple logic network for u'.i) Minimize the logic expression Y = BC + AC + AB using Boolean Algebra rules (Pleaseshow the steps). ii) Draw the simplified logic circuit based on the minimum expression obtained from (i).Construct the logic circuit (in DIG file) and construct the circuit’s truth table:
- Design circuit that has an input w and an output z. The circuit is a sequence detector that produces z = 1 when the previous two values of w were 00 or 11; otherwise z = 0. Use W=0101100010101110101011100010 a) For this problem design the circuit using JK flipflops, draw the state diagram, true table, logic circuit.Given the expression F( A,B,C,D) = ( ( B + D ) ( B’ + D’ ) )’. a. Generate the truth table b. Find the minterm expansion in Σ – form. c. Find the maxterm expansion in Π – form. d. Create a logic circuit diagram using minimum number of gates uCreate a logic diagram out of this boolean expression. B'D+C'D+AB'+BCD' Note: All inputs A B C and D must be together.
- Create the K-Map for the logic tables below: a.You want to design an arithmetic comparison combined logic circuit. (a) List the steps that you will apply in the design approach. Design a 4-bit comparison (large-equal-small) circuit. Explain each step. With AND, OR, NOT gatesmake it happen. (b)By comparing the numbers 9 and 1 in the circuit you designed, the resultdiscuss.1. Convert the following Boolean expression to Standard SoP form using Boolean Algebra. Show your calculations. Z= AB’+C 2. Simplify the following Logic function given standard SoP form (Minterms) using Karnaugh map. (Show your calculations) F (A, B, C) = Σ (m0, m1, m2, m4, m5, m6)
- Design a logic circuit to give an output: x = ( A'B' + A'C) • ( A'C' + C') with clear steps and explaination pleasei) Analyze the logic circuit in Figure Q5(c) and obtain the Boolean expressionfor Z.ii) Construct a truth table from the logic circuit in Figure Q5(c) and explain it.Design the logic circuit given the block diagram and truth table with R-S type FFs. Please write nicely.