Let , Simplified expression for function f (f (x y, y), z) is :

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  1. x̅ + z
  2. xyz 
  3. xy̅ + z
  4. None of the options

Answer (Detailed Solution Below)

Option 4 : None of the options
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Detailed Solution

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Concept:

We are given a Boolean function in the nested form: . To simplify this, we need to understand how the function behaves and use Boolean algebra rules.

Step 1: Assume definition of function

Let us assume , a common definition used in Boolean simplification unless otherwise specified.

So,

Using the identity: (Since )

Step 2: Substitute into outer function

Now substitute into the outer function:

Hence, the simplified expression is:

Compare with Options:

  • Option 1:
  • Option 2:
  • Option 3:
  • Option 4: None of the options

Final Answer:None of the options

Latest NIELIT Scientific Assistant Updates

Last updated on Feb 20, 2025

-> A total number of 113 revised vacancies have been announced for the post of Scientific Assistant in Computer Science (CS), Information Technology (IT), and Electronics & Communication (EC) streams.

-> Online application form, last date has been extended up to from 17th April 2025.

->The NIELT has revised the Essential Qualifications for the post of Scientific Assistant. Candidates must possess (M.Sc.)/ (MS)/ (MCA) / (B.E.)/ (B.Tech) in relevant disciplines.

 

-> The NIELIT Scientific Assistant 2025 Notification has been released by the National Institute of Electronics and Information Technology (NIELIT).

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