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he circuit that corresponds to the following equation using only NOT, 2-input AND and 2-input OR Label each output. Do not simplify. AB’+BC’D

he circuit that corresponds to the following equation using only NOT, 2-input AND and 2-input OR Label each output. Do not simplify. AB’+BC’D

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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**Equation:** AB' + BC'D **Instruction:** Provide the circuit diagram that corresponds to this Boolean equation using only NOT, 2-input AND, and 2-input OR gates. Ensure each output is labeled. Do not simplify the equation. **Explanation:** 1. **NOT Gates:** - Invert B using a NOT gate to get B'. - Invert C using a NOT gate to get C'. 2. **AND Gates:** - Connect A and B' into a 2-input AND gate to get the output AB'. - Connect B with C' and D using two 2-input AND gates. First, connect B and C' to get BC'. Then connect BC' with D to get BC'D. 3. **OR Gate:** - Connect the outputs of the two AND gates (AB' and BC'D) to a 2-input OR gate to get the final output of the expression AB' + BC'D. **Circuit Layout:** - The circuit should flow from inputs to the NOT gates for inversion, then to the AND gates, and finally, combine with an OR gate to produce the final output. Label each step appropriately to show the transformation of the inputs to the final output.
Transcribed Image Text:**Equation:** AB' + BC'D **Instruction:** Provide the circuit diagram that corresponds to this Boolean equation using only NOT, 2-input AND, and 2-input OR gates. Ensure each output is labeled. Do not simplify the equation. **Explanation:** 1. **NOT Gates:** - Invert B using a NOT gate to get B'. - Invert C using a NOT gate to get C'. 2. **AND Gates:** - Connect A and B' into a 2-input AND gate to get the output AB'. - Connect B with C' and D using two 2-input AND gates. First, connect B and C' to get BC'. Then connect BC' with D to get BC'D. 3. **OR Gate:** - Connect the outputs of the two AND gates (AB' and BC'D) to a 2-input OR gate to get the final output of the expression AB' + BC'D. **Circuit Layout:** - The circuit should flow from inputs to the NOT gates for inversion, then to the AND gates, and finally, combine with an OR gate to produce the final output. Label each step appropriately to show the transformation of the inputs to the final output.
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