Question

K-Map Boxes reduces how many variables?
1) 2
2) 4
3) 8
4) 1

Answer 1

Each box in a K-Map represents one variable condition, and grouping boxes reduces the Boolean expression by eliminating variables. Grouping two boxes reduces by one variable, and thus the answer is '1'.

Step-by-step explanation:

The question seems to be asking about the reduction of variables using Karnaugh Map (more commonly known as K-Map) simplification in digital logic design. In a K-Map, each n-variable K-Map has 2n boxes or cells. When grouping the cells in a K-Map, each group (if correctly formed with either 1, 2, 4, 8, etc., cells) will simplify the Boolean expression by reducing the number of variable terms. Each box in a 2-variable K-Map represents one variable condition, and grouping two boxes reduces the expression by one variable. For four boxes groupings, two variables are eliminated, and for eight boxes grouping, it simplifies to reduce three variables.

The answer to the question is therefore '1' - each box combination in a K-Map simplifies the expression by reducing it by one variable.