Design a logic circuit whose output is HIGH when a majority of inputs A, B and C are LOW.
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Complete the following with the step-by-step procedure.
- Interpret the problem and set up a truth table to describe its operation.
- Write the AND (product) term for each case where the output is 1.
- Write the sum-of-products (SOP) expression for the output.
- Simplify the output expression if possible.
- Implement the circuit for the final, simplified expression.
Design a logic circuit whose output is HIGH when a majority of inputs A, B and C are LOW.
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- Using the analysis technique where you first extract the truth table and then use it to derive the output’s logic expression, analyze the circuit. Record your results below. I added the circuit as an image Conclusion In your own words, describe the process used to analyze a logic circuit where you first extract a truth table and then derive the logic expression. 2.Again, in your own words, describe the process used to analyze a logic circuit where you first extract the logic expression and then derive the truth table.For the logic circuit shown: 1. Write the Boolean expression that directly implements this circuit. 2. Simplify the Boolean expression using Boolean identities. Identify the identities used as each step. 3. Simplify the Boolean expression using a Karnaugh map. Show the sum of products form, the truth table, resulting map with the groupings marked, and the simplified expression. 4. Draw the combinational circuit resulting from the simplified circuit.*A traffic light system uses logic gates as part of the control system. The system is operated when the output D has the value . This happens when either (a) signal A is red or (b) signal B is green and signals B and C are both red( NOTE: Assume for this problem that red=0 and green =1) Deduce the truth table for the system and the Boolean expression from the truth table, Hence Design a logic circuit or network
- 1. Given the Boolean expression (b + d)(a’+ b’ + c),a. Convert the expression to the other standard form. What do you call this standard form?b. Derive its canonical form. What do you call this canonical form?c. Derive the other canonical form. What do you call this canonical form?d. Provide the truth table of the expressione. Draw the logic circuit diagrams of the 2 standard formsi) 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 a combinational Logic circuit in which whenever input is an even number between 1 and 10 a light bulb switches on. Extract and simplify the min terms from the Truth table deduced from the problem definition and state the Boolean expression for output F.
- 1-Using the Karnaugh Method, design and draw the circuit of the logic circuit that gives the result of the multiplication of the two-bit numbers "AB" and "CD" according to minterms (SOP). Do not make any further simplifications before or after the Karnaugh Method. In tables and Karnaugh, ensure that the least significant bit is on the far right and the entries are sorted alphabetically. Make sure that the circuit you have drawn is understandable, the function you have written and the truth table are readable.A logic circuit with tree inputs A,B,C and an output Q that goes LOW only when A is LOW while B and C are different. develop the truth table and give MINIMIZED boolean expression of the output Q. which logic gate produce 1 at the disabled stateDesign a 4-bit arithmetic circuit, with two selection variables S1 and S0, that generates the arithmetic operations in the following table. Draw the logic diagram for a single bit stage. Note that B’ represents “Not B”. Complete the following truth table.
- We need a logic circuit that gives an output X that is high only if a given hexadecimal digit is even (including 0) and less than 7. The inputs to the logic circuit are the bits B 8 , B 4 , B 2 , and B 1 of the binary equivalent for the hexadecimal digit. (The MSB is B 8, and the LSB is B 1 ) Construct a truth table and the Karnaugh map; then, write the minimized SOP expression for X.a. Fill in the Karnaugh map for the logic function defined by the truth table of Figure below.b. What is the minimun expression for the function?Using the sum-of-products approach, describe the synthesis of a logic expression from a truth table. Repeat for the product-of-sums approach.