Drawing Logic Diagrams: XYZ + X'Y' + X'Z' & B(A'C'+AC) + D'(A+B'C)

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The discussion focuses on drawing logic diagrams for two Boolean expressions: a) XYZ + X'Y' + X'Z' and b) B(A'C' + AC) + D'(A + B'C). It is established that for the first expression, inverters are not required, and De Morgan's law should be applied to implement X'Y' and X'Z' using NOR gates. Conversely, for the second expression, the use of inverters is necessary to accurately represent the logic diagram.

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  • Understanding of Boolean algebra and logic gates
  • Familiarity with De Morgan's laws
  • Knowledge of NOR and NAND gate implementations
  • Ability to interpret and draw logic diagrams
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  • Explore the process of converting Boolean expressions into logic diagrams
  • Review inverter usage in digital logic design
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loola
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hi ^^

Draw the logic diagram of the following expression. The diagram should correspond directly to the equation. Assume that the complements of the inputs are not available:
a . XYZ + X’Y’ + X’Z’.
b . B(A’C’+AC) + D’(A+B’C)


what does it mean ?
do i have to draw the inverter? or not?
should i use the sum of products form?​
 
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loola said:
hi ^^

Draw the logic diagram of the following expression. The diagram should correspond directly to the equation. Assume that the complements of the inputs are not available:
a . XYZ + X’Y’ + X’Z’.
b . B(A’C’+AC) + D’(A+B’C)


what does it mean ?
do i have to draw the inverter? or not?
should i use the sum of products form?​
In item a you don't need to use inverters. Use De Morgan's law and implement X'Y' and X'Z' using nor gates instead of nand gates.
In item b you should use inverters.
 

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