Question

Minimise the following logic function using the Karnaugh maps method: f(a, b, c) = a'b+bc'+be+ab'd'

Answer 1

The minimized logic function using the Karnaugh map method is f(a, b, c) = a' + c' + b'd'.

Step-by-step explanation:

To minimize the logic function f(a, b, c) = a'b + bc' + be + ab'd', the Karnaugh map method is applied. The given function consists of four terms, and each term corresponds to a minterm. By arranging these minterms in a Karnaugh map and grouping adjacent 1s, the minimized expression is derived. After simplification, the minimized function is f(a, b, c) = a' + c' + b'd'.

The Karnaugh map method is a systematic approach to simplify Boolean expressions, helping to reduce the complexity of logic functions while maintaining their logical equivalence. It is particularly useful in digital circuit design to optimize the use of logic gates and improve overall efficiency.