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A Detailed And Critical Analysis Was Done On Manual And E-voting Systems Implemented. These Systems Exhibited Weaknesses Of Unreliable Protocols, Denial Of Service Attacks Hence The Need To Implement The Public-key Encryption E-voting System. Using Makerere University As A Case Study, The Major Aim Of The Public-key Encryption E-voting System Is To Assure Reliability And Security Of The Protocol Hence Guaranteeing Voting Convenience. Interviews And Document Review Were Used To Determine Inputs, Processes And Outputs. As A Result Of The Requirements Specification, The System Was Summarized Into Three Processes: Access Control Process Which Involves Identification And Authentication Phases For Eligible Voters. Secondly, The Voting Process Was Done By Encrypting Voter's Electronic Ballot Before Submitting To The Server. Finally, The Final Result Was Sorted Through Deciphering The Received Encrypted Information. The System Is More Efficient Than Other E-Voting Systems Since Voters Can Vote From Their Devices Without Extra Cost And Effort, And Encryption Ensures The Security.