Numerical Representation
- To understand and apply the principles of binary (base-2) representation of numbers in computers.
- To determine the minimum number of bits required to represent a given integer in binary.
- To develop and analyze algorithms for converting decimal numbers to binary and vice versa.
- To explore combinatorial enumeration and efficiently compute the lexicographical index of ordered subsets without generating all possibilities.
- To strengthen algorithmic thinking and problem-solving skills through interactive, fill-in-the-blanks programming exercises.
- To connect mathematical theory with practical programming tasks relevant to digital systems and computer science.