Description: Binary consensus is a type of consensus algorithm where a group of nodes must agree on one of two possible values. This mechanism is fundamental in distributed systems, where communication between nodes can be uncertain and failures are a reality. In this context, binary consensus allows nodes, despite failures or lack of communication, to achieve a coherent agreement, which is crucial for maintaining data integrity and consistency. Binary consensus algorithms are characterized by their simplicity and efficiency, as they only require nodes to choose between two options, reducing complexity compared to algorithms that handle multiple values. This type of consensus is especially relevant in various technological applications where speed and reliability are essential, such as in voting systems, distributed databases, and blockchain networks. The ability to reach consensus effectively and quickly is vital for the operation of these systems, as it ensures that all nodes operate with the same information, thus avoiding inconsistencies that could compromise the overall functionality of the system.