Octal integers is a number system for numbers from 0 to 7 based on base 8. The Int data type is taken into account when storing octal numbers.
Here we will discuss how to use the octal number system −
Convert decimal to octal
Convert octal to decimal.
Convert any decimal number to the corresponding octal number:
Continue dividing decimal numbers by base 8 of the octal number system until you receive a quotient of 0.
Remember to record the remainder at each step.
Finally write the remainder backwards, and the resulting number is the corresponding octal number.
Let's look at some examples to understand this concept better.
Example 1 - Consider the decimal number 2894 and find its octal equivalent.
Decimal Division Quotient Remainder 2894 2894 / 8 461 6 461 461 / 8 57 5 57 57 / 8 7 1 7 7 / 8 0 7
Thus, 7156 is the octal equivalent of the decimal number 2894.
Example 2 - Consider another decimal number 101 and find its octal equivalent.
Decimal Division Quotient Remainder 101 101 / 8 12 5 12 12 / 8 1 4 1 1 / 8 0 1
Thus, 145 is the octal equivalent of the decimal number 101.
The Chinese translation ofThe following program uses custom logic to convert a decimal number to its corresponding octal number. Create a method named DectoOctal with 1 parameter in a class named DecimalToOctal1 to demonstrate how the octal number system works. Here, the decimal number 15 is passed as an actual parameter to the created method and custom logic is used to convert it to the corresponding octal number.
//Java Program to illustrate the decimal to octal conversion
//using custom logic
public class DecimalToOctal1 {
//creating a method to convert decimal numbers into octal numbers
public static String DectoOctal(int dec) {
int r;
String octal="";
//declaring and initializing an array octalchr
char octalchr[]= {'0', '1', '2', '3', '4', '5', '6', '7'};
//logic for conversion
while(dec>0) {
r=dec%8;
octal=octalchr[r]+octal;
dec=dec/8;
}
return octal;
}
public static void main(String args[]) {
//Invoking the above method to get the octal number of the below decimal numbers
System.out.println("Octal equivalent of decimal number 15 is: "+DectoOctal(15));
System.out.println("Octal equivalent of decimal number 24 is: "+DectoOctal(24));
System.out.println("Octal equivalent of decimal number 7 is: "+DectoOctal(7));
System.out.println("Octal equivalent of decimal number 5 is: "+DectoOctal(5));
}
}
Octal equivalent of decimal number 15 is: 17 Octal equivalent of decimal number 24 is: 30 Octal equivalent of decimal number 7 is: 7 Octal equivalent of decimal number 5 is: 5
The following program uses library functions to convert decimal numbers to corresponding octal numbers. In a class called DecimalToOctal2, four different decimal numbers are converted to their corresponding octal values using the library function Integer.toOctalString().
//Java Program to demonstrate the conversion of decimal number into its equivalent octal number using a library function
public class DecimalToOctal2 {
public static void main(String args[]) {
//By the usage of the Integer.toOctalString() library method
//to convert a decimal value into a corresponding octal number
System.out.println("Octal equivalent of decimal number 15 is:" +Integer.toOctalString(15));
System.out.println("Octal equivalent of decimal number 24 is:" +Integer.toOctalString(24));
System.out.println("Octal equivalent of decimal number 7 is:" +Integer.toOctalString(7));
System.out.println("Octal equivalent of decimal number 5 is:" +Integer.toOctalString(5));
}
}
Octal equivalent of decimal number 15 is:17 Octal equivalent of decimal number 24 is:30 Octal equivalent of decimal number 7 is:7 Octal equivalent of decimal number 5 is:5
To convert any octal number to its decimal equivalent:
Multiply each digit in the decimal number by the reduced power of the base 8 of the octal number (up to the 0th power).
Let's look at some examples to understand this concept better.
Example 1 − Let us consider an octal number 456 and find its decimal equivalent.
456 = (4 * 8^2) + (5 * 8^1) + (6 * 8^0) = (4 * 64) + (5 * 8) + (6 * 1) = 256 + 40 + 6 = 302
Thus, 302 is the decimal equivalent of the octal number 456.
Example 2 - Let us consider another octal number 152 and find its decimal equivalent.
152 = (1 * 8^2) + (5 * 8^1) + (2 * 8^0) = (1 * 64) + (5 * 8) + (2 * 1) = 64 + 40 + 2 = 106
Therefore, 106 is the decimal equivalent of the octal number 152.
The Chinese translation ofThe following program uses custom logic to convert a decimal number to its corresponding octal number. Create a method named OctToDec with 1 parameter in a class named OctalToDecimal1 to demonstrate how the octal number system works. Here, four different octal numbers are passed as actual parameters to the created method and custom logic is used to convert them into corresponding decimal numbers.
//Java Program to illustrate the conversion of Octal to Decimal
//using custom logic
public class OctalToDecimal1 {
//Declaring a method to perform a conversion
public static int OctToDec(int oct) {
//Declaring variable to store a decimal number
int dec = 0;
//Declaring variable to use in power
int p = 0;
//generating the logic
while(true) {
if(oct == 0) {
break;
} else {
int t = oct % 10;
dec += t * Math.pow(8, p);
oct = oct / 10;
p++;
}
}
return dec;
}
public static void main(String args[]) {
//displaying the result of the conversion
System.out.println("Equivalent Decimal of octal number 673 is: "+OctToDec(673));
System.out.println(" Equivalent Decimal of octal number 71 is: "+OctToDec(23));
System.out.println("Equivalent Decimal of octal number 100 is: "+OctToDec(100));
System.out.println("Equivalent Decimal of octal number 88 is: "+OctToDec(10));
}
}
Equivalent Decimal of octal number 673 is: 443 Equivalent Decimal of octal number 71 is: 19 Equivalent Decimal of octal number 100 is: 64 Equivalent Decimal of octal number 88 is: 8
The following program uses library functions to convert octal numbers to corresponding decimal numbers. In a class called OctalToDecimal2, four different octal numbers are passed as input to the library method Integer.parseInt() and they are converted into corresponding decimal numbers.
//Java Program to demonstrate the conversion of an octal number into its equivalent decimal number using a library function
public class OctalToDecimal2 {
public static void main(String args[]) {
System.out.println("Equivalent Decimal of octal number 673 is " + Integer.parseInt("673",8));
System.out.println("Equivalent Decimal of octal number 673 is " + Integer.parseInt("23",8));
System.out.println("Equivalent Decimal of octal number 673 is " + Integer.parseInt("100",8));
System.out.println("Equivalent Decimal of octal number 673 is " + Integer.parseInt("10",8));
}
}
Equivalent Decimal of octal number 673 is 443 Equivalent Decimal of octal number 673 is 19 Equivalent Decimal of octal number 673 is 64 Equivalent Decimal of octal number 673 is 8
This article clarifies the usage of octal numbers. Here we discuss the conversion methods between octal and decimal through some examples and java programs.
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