Question

Reduce using k-map:
a. F1 = m(2,3,4,5,7,8,10,13,15)
b. F2 = m(0,5,10,15)

Answer 1

The question pertains to reducing Boolean functions F1 and F2 using Karnaugh maps. By placing minterms from each function into a K-map and grouping adjacent ones, the functions can be reduced to more efficient forms for digital circuit implementation.

Step-by-step explanation:

The question is about reducing Boolean functions using a Karnaugh map (K-map), which is a graphical method used to simplify Boolean algebra expressions. The K-map is a special type of truth table that helps in identifying and eliminating terms in a Boolean expression that are redundant or do not affect the outcome, effectively reducing the complexity of digital circuits.

Reduce using K-map:

1. F1 = m(2,3,4,5,7,8,10,13,15) is the expression of the Boolean function represented in a K-map by grouping the ones (minterms).
2. F2 = m(0,5,10,15) is another Boolean function to be simplified by grouping the adjacent ones on the K-map.

By arranging these minterms in a K-map, you can visually group them into larger sections representing simplified terms. The grouping is used to minimize the original Boolean expressions to simpler forms, making it more efficient when implemented in hardware.