# BigDecimal ulp() Method in Java

The java.math.BigDecimal.ulp() is an inbuilt method in Java that returns the size of an ulp(unit in the last place) of this BigDecimal.

• An ulp of a nonzero BigDecimal value is defined as the positive distance between this value and the BigDecimal value next larger in magnitude with the same number of digits.
• An ulp of a zero value is numerically equal to 1 with the scale of this. The result is stored with the same scale as this so the result for zero and nonzero values is equal to [1, this.scale()].

Syntax:

```public BigDecimal ulp()
```

Parameter: The method does not accept any parameter.

Return value: This method returns the size of an ulp of BigDecimal.

Examples:

```Input: 4.25
Output: 0.01

Input: 1789
Output: 1```

Below programs illustrates the above mentioned method:
Program 1:

 `// Program to illustrate the ulp() method of BigDecimal  ` ` `  `import` `java.math.*; ` ` `  `public` `class` `gfg { ` ` `  `    ``public` `static` `void` `main(String[] args) ` `    ``{ ` ` `  `        ``// Assigning BigDecimal object ` `        ``BigDecimal b1 = ``new` `BigDecimal(``"1789"``); ` `        ``BigDecimal b2 = ``new` `BigDecimal(``"4.25"``); ` ` `  `        ``// Assigning ulp value of BigDecimal object b1, b2 to b3, b4 ` `        ``BigDecimal b3 = b1.ulp(); ` `        ``BigDecimal b4 = b2.ulp(); ` ` `  `        ``// Printing b3, b4 values ` `        ``System.out.println(``"ULP value of "` `+ b1 + ``" is "` `+ b3); ` `        ``System.out.println(``"ULP value of "` `+ b2 + ``" is "` `+ b4); ` `    ``} ` `} `

Output:

```ULP value of 1789 is 1
ULP value of 4.25 is 0.01
```

Program 2:

 `// Program to illustrate the ulp() method of BigDecimal  ` ` `  `import` `java.math.*; ` ` `  `public` `class` `gfg { ` ` `  `    ``public` `static` `void` `main(String[] args) ` `    ``{ ` ` `  `        ``// Assigning BigDecimal object ` `        ``BigDecimal b1 = ``new` `BigDecimal(``"78645"``); ` `        ``BigDecimal b2 = ``new` `BigDecimal(``"4.252547"``); ` ` `  `        ``// Assign ulp value of BigDecimal object b1, b2 to b3, b4 ` `        ``BigDecimal b3 = b1.ulp(); ` `        ``BigDecimal b4 = b2.ulp(); ` ` `  `        ``// Printing b3, b4 values ` `        ``System.out.println(``"ULP value of "` `+ b1 + ``" is "` `+ b3); ` `        ``System.out.println(``"ULP value of "` `+ b2 + ``" is "` `+ b4); ` `    ``} ` `} `

Output:

```ULP value of 78645 is 1
ULP value of 4.252547 is 0.000001
```

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