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Translate the Boolean function into standard sum of minterms form
F = x'y+y'z+xz

User Ddarellis
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1 Answer

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Answer and explanation:

To convert the Boolean function F = x'y + y'z + xz into standard sum of minterms form, we can use the following steps:

1. Write the Boolean function in canonical sum of products (SOP) form.

2. Identify the minterms that correspond to the 1's in the truth table.

3. Write the Boolean function as a sum of these minterms.

Here are the steps in more detail:

1. Convert the Boolean function F into canonical SOP form by applying De Morgan's law and distributing the negations:

```

F = x'y + y'z + xz

= (x + z')(y + z)(x' + y')

```

2. Identify the minterms that correspond to the 1's in the truth table. In this case, there are three minterms: m(1,2,4) = x'y'z + x'yz' + xyz.

3. Write the Boolean function as a sum of these minterms:

```

F = m(1,2,4)

= x'y'z + x'yz' + xyz

```

Therefore, F = x'y + y'z + xz can be expressed as a sum of minterms as F = x'y'z + x'yz' + xyz.

I hope this helps!

User Lewie
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