Given a 7 segment display, Develop the reduced circuit functions to drive segments a & d.

a. Show the short form SOP for outputs Fa and Fd.
b. Show the K-Maps for both Fa and Fd.
c. List the Prime Implicants for both. Identify the Distinguished 1's for both.
d. List the Essential Prime Implicants for both.
e. Write a reduced SOP for both.

Respuesta :

Answer:

attached below is the detailed solution

Explanation:

Attached below is a detailed solution a BCD decoder( 4 inputs and 7 outputs ) used to drive a seven digit display

Prime Implicants are gotten from the maximum adjacent cells found in the K -map WHILE essential prime implicants  ( ESI ) are prime implicants that combine with a minimum of one term which cannot be covered by another prime implicant.

D)For a : essential implicants includes all its implicants

  For d : essential implicants includes all its prime implicants

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