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C++
  • 1. C++ Basics
    • 1.1 Input, Output, and Program Structure
      • 1.1.1 Welcome to Data Structures in C++
      • 1.1.2 Hello World
      • 1.1.3 Input and Output
      • 1.1.4 getline and cin
      • 1.1.5 Program Structure
    • 1.2 Basic Data Types
      • 1.2.1 Basic Data Types
        • 1.2.1.1 Differences between C++ and Java Data Types and Variables
      • 1.2.2 Strings and Characters
      • 1.2.3 Numbers
      • 1.2.4 Booleans
    • 1.3 Conditional Statements
      • 1.3.1 Conditional Statements
      • 1.3.2 Basic If/Else Statements
      • 1.3.3 Comparing Strings
      • 1.3.4 Logical Operators
    • 1.4 Loops
      • 1.4.1 Loops
      • 1.4.2 For Loops
      • 1.4.3 While Loops
      • 1.4.4 Searching a String
    • 1.5 Functions in C++
      • 1.5.1 Functions in C++
      • 1.5.2 Defining and Calling Functions
      • 1.5.3 Passing by Reference vs Value
      • 1.5.4 Function Prototypes
  • 2. Going Beyond the Basics
    • 2.1 Vector Basics
      • 2.1.1 Vector Basics
      • 2.1.2 Creating and Accessing Vectors
      • 2.1.3 Inserting into a Vector
      • 2.1.4 Looping Through a Vector
    • 2.2 Function Default Values
      • 2.2.1 Function Default Values
      • 2.2.2 Default Values
      • 2.2.3 Default Values with a Prototype
      • 2.2.4 Example: Splitting a String
    • 2.3 Structs
      • 2.3.1 Structs
      • 2.3.2 Defining and Accessing Structs
      • 2.3.3 Using Structs: Line Length
    • 2.4 File Input/Output
      • 2.4.1 File Input/Output
      • 2.4.2 Reading in a File
      • 2.4.3 Processing a File
      • 2.4.4 Writing to a File
      • 2.4.5 Creating an Input Stream from a String
    • 2.5 Error Handling
      • 2.5.1 Error Handling
      • 2.5.2 Validating a Number
      • 2.5.3 Validating a Vector Index
      • 2.5.4 Throwing Other Values
  • 3. Libraries
    • 3.1 Header Files
      • 3.1.1 Header Files
      • 3.1.2 Header File
      • 3.1.3 Header and Implementation File
      • 3.1.4 Safer Header
    • 3.2 Using Libraries
      • 3.2.1 Using a Utilities Library
      • 3.2.2 The Util Library
  • 4. 2D Vectors, Stacks, and Queues
    • 4.1 2D Vectors
      • 4.1.1 2D Vectors
      • 4.1.2 The 2D Vector
      • 4.1.3 Creating a 2D Vector
    • 4.3 Stacks
      • 4.3.1 Stacks
      • 4.3.2 Basic Stack
      • 4.3.3 Stack Example: Reverse a String
    • 4.5 Queues
      • 4.5.1 Queues
      • 4.5.2 Basic Queues
      • 4.5.3 Queue Example: Next in Line
  • 5. Sets and Maps
    • 5.1 Pairs and Iterators
      • 5.1.1 Pairs and Iterators
      • 5.1.2 Pairs
      • 5.1.3 Iterators
    • 5.3 Sets
      • 5.3.1 Sets
      • 5.3.2 Basic Sets
      • 5.3.3 Iterating Through a Set
      • 5.3.4 Sets of Struct Values
    • 5.4 Maps
      • 5.4.1 Maps
      • 5.4.2 Map Basics
      • 5.4.3 Iterating Through a Map
      • 5.4.4 Updating Maps
  • 6. Recursion
    • 6.1 Functional Recursion
      • 6.1.1 Functional Recursion
      • 6.1.2 Basic Recursive Problem: Exponential
      • 6.1.3 Recursion Example: Reverse String
      • 6.1.4 Recursion Example: Make Sum
    • 6.2 Procedural Recursion
      • 6.2.1 Procedural Recursion
      • 6.2.2 Print Binary
      • 6.2.3 Print Permutations
      • 6.2.4 Depth vs Breadth Search
  • 7. Pointers, Linked Lists, and Graphs
    • 7.1 Pointers
      • 7.1.1 Pointers
      • 7.1.2 Assigning and Updating Pointers
      • 7.1.3 Pointers and Functions
      • 7.1.4 Pointers and Data Structures
    • 7.2 Linked Lists
      • 7.2.1 Linked Lists
      • 7.2.2 Basic Linked List
      • 7.2.3 Linked List and Recursion
      • 7.2.4 Example: Sorted Phone Book
      • 7.2.5 Doubly Linked List
    • 7.3 Graphs
      • 7.3.1 Graphs
      • 7.3.2 Basic Example: Breadth First Search
      • 7.3.3 Application: Connecting Cities
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  1. 6. Recursion
  2. 6.2 Procedural Recursion

6.2.2 Print Binary

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Last updated 3 years ago

In this first example, you will explore a basic procedural recursion example. Even though the recursive function is not returning a value, it is solving a problem by printing out the results as the function executes.

Print Binary

This recursive function will translate a decimal number into a binary number using the method where you repeatedly divide by 2 and take the remainder, then switch the order of the remainders.

Example: Convert 10 to binary:

1. 10 / 2 = 5, remainder 0
2. 5 / 2 = 2, remainder 1
3. 2 / 2 = 1, remainder 0
4. 1 / 0 = 0 remainder 1

Remainders reversed: 1010

Since you need to print left to right, the first remainder to print is the final remainder. With this in mind, the recursive call will actually come before the base case. Once the base case (number < 1) is reached, it goes back through the recursive calls and prints the remainders.

Try This Example