Binary to Decimal Conversion

It is a number system conversion from binary to decimal number system that is carried out by arithmetic operation addition and a power function.

Binary to Decimal conversion - steps

Given binary 8 bits, converts it into decimal value

1. set decval==0
2. Read a LSB bit from binary8bits
3. IF LSB==1
4.    add decval + 2 power of the LSB position value
5. End IF
6. Next LSB
7. print decval

binary to decimal value conversion - Example

 

      Given binary 8 bits = 10001111 ,convert it into a decimal value. 
       The position value(0 to n-1 bits) starts right to left on the binary bits.   
         
       1000 1   1   1   1   
       |    |   |   |   |-----1 x 2^0 = 1
       |    |   |   |---------1 x 2^1 =2
       |    |   |-------------1 x 2^2 =4 
       |    | ----------------1 x 2^3 =8 
       |
       |
       |--------------------- 1 x 2^7 =128

     decimal value  = 1 + 2 + 4 + 8 + 128
                    = 143

     binary 8 bits 10001111 = decimal value 143. 
  

   

Binary to Decimal conversion - Java programming code

The Java program converts binary 8 bits numbers into decimal value using arithmetic addition operator and power function. while the program is running, it waits for user to enter binary bits and returns a decimal value as result of the given binary bits.

 
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;

public class Binary2Decimal {

 public static void main(String[] args) throws IOException {
    
     InputStreamReader dis =new InputStreamReader ( System.in );
     BufferedReader br =new BufferedReader(dis);
  
     System.out.println("Binary 8 bits to Decimal Conversion \n");
     System.out.println("Enter binary bits");    
     String  inpstr = br.readLine();  
     int decval =0;
     
     StringBuffer bufstr = new StringBuffer(inpstr);
     bufstr.reverse();
               
     for(int n=0; n<bufstr.length() ; n++ ) 
     {      
      if ( bufstr.charAt(n) == '1' )  {       
       decval += Math.pow(2,n);             
      }        
      
     }        
     System.out.println("\nDecimal value :" + decval);

 }

}


 

Binary to Decimal converion - Java programming Output

The program

Binary 8 bits to Decimal Conversion 

Enter binary 8 bits :
01010101

Decimal value :85