Simplify the following Boolean functions using the three-variable Karnaugh map in Figure 14. F(x, y, z) = sigma(0, 2, 3, 4, 6) F(x, y, z) = sigma(3,5, 6,7) F(x, y, z) = sigma(0, 2, 6) A don't-care minterm is a combination of variables whose logical value is not specified. A don't-care minterm cannot be marked with either a 1 or 0in a Karnaugh map, as this requires that the function be always 1 or 0, respectively. Instead, an X inside a square in the Karnaugh map indicates that we don't care whether the value of 0 or 1 is assigned to the function for a particular minterm. In choosing adjacent squares to simplify the function in a map, the don't-care minterms may be assumed to be either 0 or 1, depending on which gives the simplest expression. Consider a three-variable function F(x, y, z) = sigma(3, 5) which has the don't-care conditions d = sigma(4, 7) Using the format in Figure 14, mark the minterms of F and d with ls and Xs, respectively Find a simplified expression for F by appropriately choosing the Xs as 0 or 1