QUESTION #029

Data Type Limits Display

Easy

📋 Problem Statement

Write a program to read the choice and print respective min and max values of the data types that is given in the choice.

🎯 Understanding the Problem

  • Choice 1: Select SIGNED (1) or UNSIGNED (2)
  • Choice 2: Select data type (1-5)
  • Display the minimum and maximum values for that combination
  • Uses <climits> library for predefined constants
Choice Menu System
Choice 1 (Signedness):
  1 → SIGNED
  2 → UNSIGNED

Choice 2 (Data Type):
  1 → char
  2 → short int
  3 → int
  4 → long int
  5 → long long int

Example: Input "1 2"
         ↓   ↓
      SIGNED short int
         
Output: Minimum value of signed short int is -32768
        Maximum value of signed short int is 32767

📥 Input Format

First line will be choice for selecting signed/unsigned data type (SIGNED, UNSIGNED)
Followed by input for the datatypes selection (char, short int, int, long int, long long int)

📤 Output Format

Minimum value of signed short int is (Value)
Maximum value of signed short int is (Value)

💡 Examples

Example 1:
Input: 1 2
Output:
Minimum value of signed short int is -32768
Maximum value of signed short int is 32767
Analysis:
• Choice 1 = 1 → SIGNED
• Choice 2 = 2 → short int
• Signed short int uses 16 bits (2 bytes)
• Range: -2^15 to 2^15-1 = -32768 to 32767
Example 2 (Unsigned char):
Input: 2 1
Output:
Minimum value of unsigned char is 0
Maximum value of unsigned char is 255
Analysis:
• Choice 1 = 2 → UNSIGNED
• Choice 2 = 1 → char
• Unsigned types have minimum of 0
• Range: 0 to 2^8-1 = 0 to 255
Example 3 (Signed int):
Input: 1 3
Output:
Minimum value of signed int is -2147483648
Maximum value of signed int is 2147483647
Analysis:
• Choice 1 = 1 → SIGNED
• Choice 2 = 3 → int
• Range: -2^31 to 2^31-1
Example 4 (Unsigned long long int):
Input: 2 5
Output:
Minimum value of unsigned long long int is 0
Maximum value of unsigned long long int is 18446744073709551615
Analysis:
• Choice 1 = 2 → UNSIGNED
• Choice 2 = 5 → long long int
• Largest range: 0 to 2^64-1
• Maximum value: ~18 quintillion!

⚠️ Constraints

1 <= choice1 <= 2
1 <= choice2 <= 5

✅ Solution

#include <iostream>
#include <climits>  // For INT_MAX, LONG_MAX, etc.
using namespace std;

int main() {
    int choice1, choice2;
    cin >> choice1 >> choice2;
    
    if (choice1 == 1) {  // SIGNED
        switch(choice2) {
            case 1:
                cout << "Minimum value of signed char is " << SCHAR_MIN << endl;
                cout << "Maximum value of signed char is " << SCHAR_MAX << endl;
                break;
            case 2:
                cout << "Minimum value of signed short int is " << SHRT_MIN << endl;
                cout << "Maximum value of signed short int is " << SHRT_MAX << endl;
                break;
            case 3:
                cout << "Minimum value of signed int is " << INT_MIN << endl;
                cout << "Maximum value of signed int is " << INT_MAX << endl;
                break;
            case 4:
                cout << "Minimum value of signed long int is " << LONG_MIN << endl;
                cout << "Maximum value of signed long int is " << LONG_MAX << endl;
                break;
            case 5:
                cout << "Minimum value of signed long long int is " << LLONG_MIN << endl;
                cout << "Maximum value of signed long long int is " << LLONG_MAX << endl;
                break;
        }
    } else {  // UNSIGNED (choice1 == 2)
        switch(choice2) {
            case 1:
                cout << "Minimum value of unsigned char is 0" << endl;
                cout << "Maximum value of unsigned char is " << UCHAR_MAX << endl;
                break;
            case 2:
                cout << "Minimum value of unsigned short int is 0" << endl;
                cout << "Maximum value of unsigned short int is " << USHRT_MAX << endl;
                break;
            case 3:
                cout << "Minimum value of unsigned int is 0" << endl;
                cout << "Maximum value of unsigned int is " << UINT_MAX << endl;
                break;
            case 4:
                cout << "Minimum value of unsigned long int is 0" << endl;
                cout << "Maximum value of unsigned long int is " << ULONG_MAX << endl;
                break;
            case 5:
                cout << "Minimum value of unsigned long long int is 0" << endl;
                cout << "Maximum value of unsigned long long int is " << ULLONG_MAX << endl;
                break;
        }
    }
    
    return 0;
}

📚 Understanding <climits> Library

What is climits?

The <climits> header provides predefined constants for the limits of integral types in C++.

Common Constants:

Constant Data Type Typical Value
SCHAR_MIN signed char -128
SCHAR_MAX signed char 127
UCHAR_MAX unsigned char 255
SHRT_MIN short -32,768
SHRT_MAX short 32,767
INT_MIN int -2,147,483,648
INT_MAX int 2,147,483,647
LLONG_MAX long long 9,223,372,036,854,775,807
ULLONG_MAX unsigned long long 18,446,744,073,709,551,615

➕➖ Signed vs Unsigned Types

What's the Difference?

Aspect Signed Unsigned
Can hold negatives? ✅ Yes ❌ No (only 0 and positive)
Minimum value Negative (e.g., -32768) Always 0
Maximum value Positive (e.g., 32767) Larger positive (e.g., 65535)
Number of bits Same as unsigned Same as signed
Range symmetry Asymmetric (|min| > |max|) Symmetric from 0
Use case General purpose, when negatives possible Counts, sizes, never negative
// Example: 8-bit (1 byte) types

// Signed char: 8 bits, 1 bit for sign
signed char sc;
Range: -128 to 127
       // 256 total values (-128 + 128 = 256)

// Unsigned char: 8 bits, all for magnitude
unsigned char uc;
Range: 0 to 255
       // 256 total values (0 to 255 = 256)

// Same number of bits = same number of values!
// But distributed differently (with/without negatives)

📏 Data Type Sizes and Ranges

Type Bytes Bits Signed Range Unsigned Range
char 1 8 -128 to 127 0 to 255
short 2 16 -32,768 to 32,767 0 to 65,535
int 4 32 -2.1B to 2.1B 0 to 4.2B
long 4-8 32-64 Platform dependent Platform dependent
long long 8 64 -9.2 quintillion 0 to 18.4 quintillion
// Formula for ranges:

// Signed type with n bits:
Minimum: -2^(n-1)
Maximum: 2^(n-1) - 1

// Unsigned type with n bits:
Minimum: 0
Maximum: 2^n - 1

// Example: 16-bit short
Signed:   -2^15 to 2^15-1 = -32768 to 32767
Unsigned: 0 to 2^16-1 = 0 to 65535

🔀 Understanding Switch Statements

Why Use Switch Instead of If-Else?

  • More readable for multiple discrete choices
  • Clearly shows all possible options
  • Easier to maintain and extend
  • Compiler can optimize better
// Switch statement structure:

switch(variable) {
    case value1:
        // Code for value1
        break;  // Important! Prevents fall-through
    
    case value2:
        // Code for value2
        break;
    
    default:
        // Code if no case matches (optional)
        break;
}

// Why 'break' is crucial:
switch(x) {
    case 1:
        cout << "One";
        // NO BREAK! Falls through to case 2!
    case 2:
        cout << "Two";
        break;
}
// If x=1, prints "OneTwo" (fall-through behavior)

🔑 Key Concepts Learned

  • <climits> Library: Accessing predefined type limit constants
  • Switch Statements: Handling multiple discrete choices elegantly
  • Signed vs Unsigned: Understanding how sign bit affects range
  • Nested Control: Combining if-else with switch statements
  • Data Type Ranges: Knowing limits of different types
  • Menu-Based Programs: Creating choice-driven applications

🌍 Real-world Applications

  • Database Schema Design: Choosing correct column types
  • Memory Optimization: Selecting smallest type that fits data
  • Network Protocols: Understanding packet field sizes
  • File Formats: Binary data structure design
  • Embedded Systems: Critical for memory-constrained devices
  • Graphics Programming: Color values (0-255 = unsigned char)
  • Financial Software: Choosing types to avoid overflow
  • Documentation Tools: Auto-generating type reference guides

💪 Extension Challenges

  • Level 1: Add floating-point types (float, double, long double)
  • Level 2: Display the size in bytes using sizeof()
  • Level 3: Create a table showing all types at once
  • Level 4: Add validation to reject invalid choices
  • Level 5: Show binary representation of max values
  • Level 6: Calculate how many values each type can hold
  • Level 7: Use <limits> instead of <climits>
  • Bonus: Create an interactive menu with loops

💡 Practice Tips

  • Memorize Common Limits: INT_MAX, LLONG_MAX are frequently used
  • Test All Combinations: Try all 10 possible input pairs (1-1, 1-2, etc.)
  • Understand Break: Remove break statements to see fall-through behavior
  • Learn <limits>: Modern C++ alternative to climits
  • Check Platform: Some sizes vary by system (use sizeof())
  • Overflow Testing: Try adding 1 to MAX values to see what happens
  • Compare Libraries: climits vs limits vs numeric_limits