Java: Returns the largest integer but not larger than the base-2 logarithm of a specified integer

Last update on May 12 2025 13:10:59 (UTC/GMT +8 hours)

Largest Integer Base-2 Logarithm

Write a Java program that returns the largest integer but not larger than the base-2 logarithm of a given integer.

Original Number: 2350
Result: 11

Sample Solution:

Java Code:

import java.util.Scanner;

public class Solution {
    
    public static void main(String[] args) {
        // Initializing an integer variable 'n' with the value 2350
        int n = 2350;
        
        // Displaying the original number
        System.out.printf("Original Number: %d\n", n);
        
        // Initializing a variable to count the number of right shifts
        int shift_right_count = 0;
        
        // Performing right shift operations until 'n' becomes zero
        do {
            n >>= 1; // Right shifting 'n' by 1 bit
            shift_right_count++; // Incrementing the shift count
        } while (n != 0); // Loop continues until 'n' becomes zero
        
        shift_right_count--; // Decrementing the shift count by 1 to correct the count
        
        // Displaying the final result (shift count)
        System.out.printf("Result: %s\r\n", shift_right_count);
    }
} 

Sample Output: Original Number: 2350 Result: 11

Flowchart:

For more Practice: Solve these Related Problems:

• Write a Java program to find the smallest integer not less than the base-2 logarithm of a given number.
• Write a Java program to compute the floor of the base-2 logarithm using a recursive approach.
• Write a Java program to calculate the floor of the logarithm of a number for an arbitrary base without built-in functions.
• Write a Java program to compute the floor of the base-2 logarithm without using any math library methods.

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