Decimal to binary
It's easy to convert a number from decimal to binary and even it's reverse
conversion from binary to decimal.
Algorithm to convert a number from binary to decimal
To convert from base 10 to 2, we just divide the decimal number by 2 until we get
1 and write the all the remainders after it in reverse order(from last found
remainder to the first ). Look at the flowchart below to better understand
it.
Start with n and check if n is equal to 1. If the
n isn't equal to 1 divide it by 2 and update the n with
the quotient and push the remainder to stack, do it until the
n become 1.
If the n is 1 pop out all the element from the stack (if exists)
and write them after the 1 in order, this way n number will be converted into binary.
Decimal to binary - java program
There are different ways to get it done in java one easy way you can use java's
Integer.toBinaryString() that takes one decimal number or Integer.toString()
that takes two parameters first one the decimal number which has to be convert and the second
one is base in which number has to be convert.
These methods already exist to convert. However, it is not what you're
looking for right! instead, you just wanna try to implement your own logic.
The second way you have seen above. I suggest you don't see the program,
first, try it yourself .
And the third is using the recursion technique.
First: Java toBinaryString() method to get the binary representation
class Main {
public static void main(String[] args) {
// decimal digit
int n = 8;
System.out.println("Binary: " + convertToBinary(n));
}
private static String convertToBinary(int n) {
return Integer.toBinaryString(n); // or Integer.toString(n, 2)
}
}
Run it in
Repl.it (An
online Ide)
Program Output
Binary: 1000
Second: Java Program to convert decimal to binary with a stack
import java.util.Stack;
class Main {
public static void main(String[] args) {
// decimal digit
int n = 8;
System.out.println("Binary: " + convertToBinary(n));
}
private static String convertToBinary(int n) {
Stack<Integer> stack = new Stack();
// while the n is not 1
while (n != 1) {
stack.push(n % 2);
n = n / 2;
}
String bin = "1"; // while the stack is not empty
while (!stack.empty()) {
bin = bin + stack.pop();
}
return bin;
}
}
Program Output
Binary: 1000
Third: decimal to binary using recursion in java
import java.util.Stack;
class Main {
public static void main(String[] args) {
// decimal digit
int n = 15;
System.out.println("Binary: " + convertToBinary(n));
}
private static String convertToBinary(int n) {
if (n == 1) return "1";
return convertToBinary(n / 2) + n % 2;
}
}
Program Output
Binary: 1111
Comment below if you have any doubts or Know any other different way to
convert decimal to binary.
