Neco 2018 Data Processing Question 6

Practice essay / theory question 6 from the 2018 Neco Data Processing examination. This question covers Boolean Algebra, Karnaugh Maps, NAND‑only Implementation, Hazard Analysis .

Neco 2018 Data Processing Essay / Theory

Topics: Boolean Algebra Karnaugh Maps NAND‑only Implementation Hazard Analysis

Question 6 NECO • 2018 • DATA_PROCESSING • essay

A traffic‑light controller for a four‑way intersection has three binary input sensors: A – vehicle detected on the north‑south road, B – vehicle detected on the east‑west road, C – emergency vehicle detected on any approach. The output Y controls the north‑south green light. Y should be 1 (green) only when: (i) there is a vehicle on the north‑south road and no vehicle on the east‑west road, or (ii) an emergency vehicle is present, irrespective of the other sensors. Using this description, answer the following:

Question Parts

( a )

Derive the minimal Boolean expression for Y. Show the Karnaugh map grouping that leads to the minimal form.

( b )

Implement the minimal expression using only NAND gates. List the required NAND gates and describe how their inputs are connected to obtain Y.

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About This Question

This is Neco 2018 Data Processing Question 6. It is one of the essay questions from the 2018 Neco Data Processing examination.

The question covers Boolean Algebra, Karnaugh Maps, NAND‑only Implementation, Hazard Analysis .

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