Database System Concepts
7th Edition
ISBN: 9780078022159
Author: Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher: McGraw-Hill Education
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Question
What is the primary motivation for using Boolean algebra to simplify logic expressions?
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It may reduce the number of gates. |
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It may reduce the number of inputs required. |
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It may make it easier to understand the circuit. |
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All of the above are correct. |
Expert Solution
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Step 1: Given:
What is the primary motivation for using Boolean algebra to simplify logic expressions?
It may reduce the number of gates. | |
It may reduce the number of inputs required. | |
It may make it easier to understand the circuit. | |
All of the above are correct. |
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- PLEASE EXPLAIN ALL STEPSDraw (hand draw or using an online tool) the circuit diagrams that correspond to the following Boolean equations (Do not simplify!): xz + (xy + ~z) ~xyz + yz + x~yarrow_forwardWrite the logic expression that represents the output of the following circuit as a function of its inputs. (Do not simplify your expression). OUT Use logic rules to simplify your expression. Show each step and state the law of logical equivalence that are applying at each step. Draw the circuit corresponding to your simplified expression.arrow_forwardSimplify the following expression and implement it using NOR gate. F(A,B,C,D)=Em(1,2,4,11,13,14,15)+Ed(0,5,7,8,10)arrow_forward
- Propositional logic is used in the creation of conditional logic for software programs in cases where the Boolean test is required. For example, ladder logic used by PLC (programmable logic controller) programmers control the response to a circuit being in an open or closed state, based on specific conditions stated in the logic. PLCs are used in numerous environments, such as manufacturing product lines, elevators, and many industrial applications. What other computer-science or IT jobs rely on propositional logic?arrow_forwardQuestion 8: Draw the circuit that implements each of the following equations: B + AC' (W + Y)' + X' (B + A'D) + (BC)' (W' + XY)' + (VWX' + Z)'arrow_forwardGiven a certain truth table, there is a unique implementation of it using logic gates. True or False? Briefly explain your answer.arrow_forward
- Based on the following image answer the following questions; a. Write the unsimplified sum-of-products boolean algebra expression for Q: Q= b. Write a simplified version of the expression above using only 4 operations (one of which is NOT): Q= c. Draw a circuit that produces Q:arrow_forwardOne way to think of logic gate types is to consider what input states guarantee a certain output state. For example, we could describe the function of an AND gate as “Any low input guarantees a low output.” Identify what type of gate is represented by the following phrase: “Any low input guarantees a high output.”arrow_forwardDO NOT COPY FROM OTHER WEBSITES. Correct and detailed answer will be Upvoted else downvoted. Thank you!arrow_forward
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