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

Give the logic circuit diagram of the following expression:

AB'+(BC⋅(B+C))

Answer:

Answer by student

The logic circuit diagram of the expression is:

Detailed answer by teachoo

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To create the logic circuit diagram for the expression AB'+(BC⋅(B+C)), we need to break it down into its constituent parts and represent each part using logic gates. Here's the step-by-step process:

• Break down the expression into smaller sub-expressions:
• AB'
• BC⋅(B+C)

Convert each sub-expression into a logic gate representation:

• For AB', we need to use an AND gate and a NOT gate:
• Connect input A to one input of the AND gate.
• Connect input B to the input of the NOT gate.
• Connect the complement of input B (B') to the other input of the AND gate.
• The output of the NOT gate represents AB'.

• For BC⋅(B+C), we need to use an OR gate and 2 AND gates:
• Connect input B to one input of the AND gate.
• Connect input C to the other input of the AND gate.
• Connect the output of the AND gate to one input of the next AND gate.
• Connect input B to one input of the OR gate.
• Connect input C to the other input of the OR gate.
• Connect the output of the OR gate to the input of the AND gate.
• The output of the AND gate represents BC⋅(B+C).

Combine the sub-expressions using appropriate logic gates:

• To combine AB' and BC⋅(B+C), we need to use an OR gate:
• Connect the output of the AND gate representing AB' to one input of the OR gate.
• Connect the output of the AND gate representing BC⋅(B+C) to the other input of the OR gate.

The output of the OR gate represents the final expression AB'+(BC⋅(B+C)).

The logic circuit diagram of the expression is:

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