Question 32 (ii) (Choice 2) - Sample Paper 1 by Teachoo - Teachoo Sample Paper

Give the logic circuit diagram of the following expression:

((XY)’  + (X+Y)’)’

Answer:

Answer by student

The logic circuit diagram for the expression ((XY)’ + (X+Y)’)’ is:

Detailed answer by teachoo

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To create the logic circuit diagram for the expression ((XY)’ + (X+Y)’)’, we need to break it down into its constituent parts and represent each part using the specified gates. Here's the step-by-step process:

• Break down the expression into smaller sub-expressions:
• (XY)’
• (X+Y)’

Convert each sub-expression into a logic gate representation using NAND and NOR gates:

• For (XY)’, we can use NAND gates:
• Connect input X and input Y to the inputs of a NAND gate.
• The output of the NAND gate represents (XY)’.

• For (X+Y)’, we can use NOR gates:
• Connect input X and input Y to the inputs of a NOR gate.
• The output of the NOR gate represents (X+Y)’.

Combine the sub-expressions using appropriate logic gates:

• To combine (XY)’ and (X+Y)’, we need to use a NOR gate:
• Connect the output of the NAND gate representing (XY)’ and the output of the NOR gate representing (X+Y)’ to the inputs of a NOR gate.
• The output of the NOR gate represents the final expression ((XY)’ + (X+Y)’)’.

Here's the logic circuit diagram for the expression ((XY)’ + (X+Y)’)’ :

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