Find the standard Sum Of Products and Product Of Sums forms of the solution

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The discussion revolves around finding the standard Sum of Products (SOP) and Product of Sums (POS) forms for a switching network with four inputs, where the output Z is 1 for even numbers greater than 5. Participants are asked to verify their answers and utilize Karnaugh maps (K-maps) for accuracy. There is confusion regarding the correct interpretation of Z and its complement, with one user pointing out an error in the approach. The need for clarity in deriving the correct forms is emphasized, particularly in relation to the missing terms in the solutions. Accurate completion of part b) is suggested to ensure correctness in part a).
Fatima Hasan
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Homework Statement


A switching network has 4 inputs and a single output (Z) as shown in the figure below. The output Z is 1 iff the binary number represented by ABCD ( A is the MSB) is an even number greater than 5. Find :
a) The standard POS of Z (abbreviated form).
b) The standard SOP of ##\overline{Z}## (abbreviated form).

Homework Equations


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The Attempt at a Solution



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Could someone check my answer please ?
 

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Could you check your answers with K-maps and share those too? Thanks. :smile:
 
It looks like you inverted Z and not Z relative to what the problem statement asked for.
 
berkeman said:
Could you check your answers with K-maps and share those too? Thanks. :smile:
I don't know how to solve it with K- maps , we haven't cover it yet .
 
b) is not correct. For example, where is ##\bar{A} \bar{B} \bar{C} \bar{D}##? I think when you get b) right, you will get a) right.
 

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