4. Draw the logic diagram corresponding to the following Boolean Expression. a) (P+ R)• (Q ® R))+ (P + R) b) Q(PR)+ (P •Q) + (Q • R)
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- 5. Circuit Problem: Convert each of the following circuits to a Boolean expression. Then simplify the expression, and draw the corresponding simplified circuit. (a) (b) a b' a' b —b — с' a a' "CHHE (c) a bDirection: Analyze the given circuit and find the following: • Logic Expression Simplified Logic Expression using Boolean Algebra • Simplified Circuit 1. A B C 0 O 8 XDesign a code converter that converts a decimal digit from BCD to excess-3 code, the input variables are organized as (A BC D) respectively with A is the MSB, the output variables are organized as (W X Y Z) respectively with W is the MSB, put the invalid decimal numbers as don't care. X= BCD'+B'D+B'C X= BC'D'+B'D+BC X= BC'D'+B'D+B'C X= BC'D'+BD+B'C
- Q.No.10: Draw Combinational Logic Circuit for the following Boolean expression i.e. one combine circuit for each expression? *Then simplify and prove the problems i.e. Boolean expression using Boolean rules and laws as discussed in the class. E.g. prove it with the help of Boolean rules and law that B+BC=B, how? (i) B+BC=B (ii) B+BC=B+C (iii) (B+C)(B+D)=B+CDDesign a code converter that converts a decimal digit from BCD to excess-3 code, the input variables are organized as (A BC D) respectively with A is the MSB, the output variables are organized as (W XY Z) respectively with W is the MSB, put the invalid decimal numbers as don't care. X= BCD'+B'D+B'C X= BC'D'+B'D+BC X= BC'D'+B'D+B'C X= BC'D'+BD+B'CFor a ((A+B)' + (A'B')) Boolean equation, with the input waveforms as shown in Figure 2, which output waveform is correct? INPUT A INPUT B OUTPUT a OUTPUT b OUTPUT C OUTPUT d- Figure 2 Output b Output a Output d Output c A full adder logic circuit has Three inputs and three outputs. Three inputs and two outputs. Two inputs and one output. Two inputs and two outputs.
- Basic Combinational Logic Circuits 2. Write the output expression for logic circuit: A B B XThe number 7357.68K represented in engineering notation can also be represented as Select one: O a. 735768M b. 7357680m c. None of these d. 7357.68MLogic Design courses / EE200SP21 / General / Mid Term Examination Part II (Subjecti Compute the minimal products of sum and minimal sum of products expressions for following KMAP. Show your groupings on KMAP АВ CD 1 1 1 1 0. Instructions: You have to solve the answer by hand on paper, scan/take photo and upload it as a single file. Local Disk (D:) Mid Term Examinat.
- 1. Consider the given logic equation below. Draw the logic diagram then simplify it using Boolean algebra. Draw the logic diagram based on the símplified logic equation. X = A'B'C' + A'B°C' + A°B°C* + A*B°C' + A'B'C'1. Minimise the following boolean function and draw the corresponding logic circuit. f(w,x,y,z) = (w*~x*(y+x*z)+~w*~x)*y 2. A newly created computer program detects the presence of excel E , word W and power point on any computer its installed. the program will NOT run ONLY when either Excel or Word is running simultaneously with power point a) contruct a fully complete truth table depicting all the 8 possible combinations and outputs for the given requirements above. b)construct the corresponding k-map from the truth table in (a). c) derive and fully minimise the boolean function from the k-map in (b). d) draw a fully labeled combinational circuit daigram of the minimised circuit. 3. construct a well labeled state diagram for a Mealy state machine that detects a sequence of bits 0101. how many overlaps exist in this state machine.Design a logic circuit that illustrates Rule 11 of Boolean algebra: A+ AB = A + B A pulse generator is used to represent the input A and a switch is used for the input B. Switch B is open for B = 1 and closed for B = 0. Draw the logic circuit. Also, draw the timing diagrams for the following scenarios: i. B = 0 ii. B = 1