Convert a Decimal Number to Binary Using Recursion
How can a decimal number be converted to binary using recursion?
What is the process involved in converting a decimal number to its binary representation using recursion?
Conversion Process:
When converting a decimal number to binary using recursion, a recursive function is used to divide the decimal number by 2 and append the remainders to build the binary representation.
To convert a decimal number to binary using recursion, a recursive function is defined to perform the conversion. The function follows these steps:
- Take the input decimal number
- Divide the number by 2 to get a quotient and a remainder
- Append the remainder to the binary representation
- Recursively call the function with the quotient until the quotient becomes 0
- Return the binary representation as the final result
This recursive approach effectively breaks down the decimal number into its binary equivalent by repeatedly dividing by 2 and storing the remainders, which eventually form the binary representation.