Mr Ali is undergraduate student of engineering in a University. His registration ID is of six hexadecimal numbers (171457)16. He needs to understand some useful operations in digital logic design so he represented each character of his registration ID as a four-bit number in a truth table of 16 input output relations. Then he assigned HIGH output to each four-bit number of his registration id and its succeeding number (all other outputs will then be zero).
Your task is to do all the steps that Mr Ali has performed and answer the following questions.
a. Write the standard SOP expression from the truth table?
b. Write standard POS expression from the truth table?
c. Use the Karnaugh map method to find minimum SOP expression?
d. Use the Karnaugh map method to find Minimum POS expression? e. Implement the minimized SOP and POS expressions in a circuit diagram?
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