Question

1.Consider the function represented in sum of product form as F(x, y, z)=∑(0,1,4,6). Write the function...

1.Consider the function represented in sum of product form as F(x, y, z)=∑(0,1,4,6). Write the function F in product of sum form and minimize it using K-map.

2. Design a digital circuit (with minimum number of gates) with input ? = ?3?2?1?0 and an output ?. The output F should be 1 if A is divisible by either 2 or 3.

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Answer #1

1)

2)The number of variables here are 4.So, the truth table will contain 2^4 inputs.

The numbers divisible by 2 or 3 are 0,1,2,3,4,6,8,9,10,12,14,15.

so, mark the output as 1,others will be considered as 0.

The above circuit diagram is for the minimized form of the function F.

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