Digital Logic Fundamentals
To reduce the expression \( F(A, B, C) = \pi(0, 3, 4, 7, 8, 10, 12, 14) + d(2, 6) \) using a Karnaugh Map (K-
map
, follow these steps:
### Step 1: Set Up the K-map
For three variables \( A, B, C \), the K-map is a 2×4 grid. We will label the rows and columns based on the values of the variables. The map layout is:
“`
BC
00 01 11 10
+—————–
A 0 | 0 1 3 2
1 | 4 5 7 6
“`
### Step 2: Fill in the K-map
The given expression uses **
maxterms
* (denoted by π), which means
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