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Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Please write bolian expression for 7 and 8 pleeeaseeee plaaasss
### Boolean Logic Diagrams #### Diagram 7: This circuit involves two stages of logic gates: 1. **First Stage (AND Gate)** - The inputs to the AND gate are labeled as `A` and `B`. - Both inputs need to be true (HIGH) for the output of this stage to be true (HIGH). 2. **Second Stage (AND Gate)** - The output of the first AND gate (result of `A AND B`) serves as one of the inputs to the second AND gate. - The additional input to the second AND gate is labeled `C`. - The final output, labeled `X`, will be true (HIGH) only when the output of the first AND gate (A AND B) and input `C` are both true (HIGH). #### Diagram 8: This circuit involves two stages of logic gates operating in parallel leading to a third AND gate: 1. **First Stage (Two AND Gates Operating in Parallel)** - **AND Gate 1:** Inputs are labeled `A` and `B`. The output of this gate will be true (HIGH) if both `A` and `B` are true (HIGH). - **AND Gate 2:** Inputs are labeled `C` and `D`. The output of this gate will be true (HIGH) if both `C` and `D` are true (HIGH). 2. **Second Stage (AND Gate)** - The outputs from the two parallel AND gates serve as inputs to this AND gate. - The final output, labeled `X`, will be true (HIGH) only when both outputs from the first stage are true (HIGH), which translates to (A AND B) AND (C AND D). **Note:** These diagrams are fundamental concepts in digital electronics and Boolean logic, illustrating how complex logical expressions can be implemented using basic logic gates like AND gates.
Transcribed Image Text:### Boolean Logic Diagrams #### Diagram 7: This circuit involves two stages of logic gates: 1. **First Stage (AND Gate)** - The inputs to the AND gate are labeled as `A` and `B`. - Both inputs need to be true (HIGH) for the output of this stage to be true (HIGH). 2. **Second Stage (AND Gate)** - The output of the first AND gate (result of `A AND B`) serves as one of the inputs to the second AND gate. - The additional input to the second AND gate is labeled `C`. - The final output, labeled `X`, will be true (HIGH) only when the output of the first AND gate (A AND B) and input `C` are both true (HIGH). #### Diagram 8: This circuit involves two stages of logic gates operating in parallel leading to a third AND gate: 1. **First Stage (Two AND Gates Operating in Parallel)** - **AND Gate 1:** Inputs are labeled `A` and `B`. The output of this gate will be true (HIGH) if both `A` and `B` are true (HIGH). - **AND Gate 2:** Inputs are labeled `C` and `D`. The output of this gate will be true (HIGH) if both `C` and `D` are true (HIGH). 2. **Second Stage (AND Gate)** - The outputs from the two parallel AND gates serve as inputs to this AND gate. - The final output, labeled `X`, will be true (HIGH) only when both outputs from the first stage are true (HIGH), which translates to (A AND B) AND (C AND D). **Note:** These diagrams are fundamental concepts in digital electronics and Boolean logic, illustrating how complex logical expressions can be implemented using basic logic gates like AND gates.
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