In those cases, treat the don’t care value as ‘1’. Karnaugh Maps (K-map) • Alternate representation of a truth table Red decimal = minterm value ... “don’t care” conditions for logic minimization • The output for a don’t care condition can be either 0 or 1 WE DON’T CARE!!! This will have an optimal behavior if the map has no "don't cares" [reference needed]. The term x1x2x4 specifiesminterms1and3. • Don’t Care conditions denoted by: Unlike ordinary (i.e., one-dimensional) truth tables, Lets first look why a K-map is not practical for functions with more than 4 variables . Karnaugh map of 2 to 4 variables is very easy. Introduce the concept of "don't care" entries and show how to extend Karnaugh map techniques to include maps with don't care entries. To have optimal behavior with "don't care", you have to consider that an X can be either a 1 or a 0. Reading Assignment Sections 2.6 and 2.7 from the text Elec 326 2 Karnaugh Maps Karnaugh Map Definitions A Karnaugh map is a two-dimensional truth-table.

To find the desired SOP expression, we must find the least-expensive set of prime implicants that covers all 1s in the map. Karnaugh Maps (K-maps) •If m i is a minterm of f, then place a 1 in cell i of the K-map. You are not looking for anything. Note 2 − If don’t care terms also present, then place don’t cares ‘x’ in the respective cells of K-map. in the map, comprising minterms 3, 7, 11, and 15. Example The map also includes the three don’t-care conditions. However, 5 and 6 variable K-map is … Example: Designing with Don't-Care Values In some situations, we don't care about the value of a logic function. K-maps are also referred to as 2D truth tables as each K-map is nothing but a different format of representing the values present in a one-dimensional truth table. Don’t care “x” should also be included while grouping to make a larger possible group.

•If M i is a maxterm of f, then place a 0 in cell i. K-maps for Product-of-Sum Design Product-of-sums design uses the same principles, but applied to the zeros of the function. Consider only the don’t cares ‘x’ that are helpful for grouping maximum number of adjacent ones. Don't-care values in a Karnaugh map relate to output that is generally not reachable under normal circumstances and allow you to simplify the logic more than you would normally be able to. Your answer is NOT correct; This is not the proper way to group a 5 variables K-map. The way the K-Map works is by grouping the numbers that their binary representation has a Hamming distance = 1 [Only 1 bit difference] In the image you posted That means that for each X, you have two versions of you map.

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