Correct option is D
In a Karnaugh Map (K-map), the goal is to group adjacent 1s (minterms) into the largest possible power-of-two groups (1, 2, 4, 8, etc.).
To achieve the most simplified Boolean expression, one must start by looking for the largest groupings first, which are Octets (groups of 8 adjacent 1s). These eliminate the maximum number of variables, resulting in simpler terms.
Important Key Points:
- Octets simplify the expression the most by eliminating three variables in a 4-variable K-map.
- Larger groupings reduce the number of terms and variables in the simplified output.
- The order of preference is: Octets → Quads → Pairs → Singles for best simplification.
Knowledge Booster:
- Quads: Groups of 4 adjacent 1s; eliminate two variables. Used when Octets are not available.
- Singles: Individual 1s that cannot be grouped further; provide least simplification.
- Pairs: Groups of 2 adjacent 1s; eliminate one variable; used only when larger groups are not possible.
