## Way to get number of digits in an int?

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Is there a neater way for getting the length of an int than this method?

int length = String.valueOf(1000).length();

Your String-based solution is perfectly OK, there is nothing "un-neat" about it. You have to realize that mathematically, numbers don't have a length, nor do they have digits. Length and digits are both properties of a *physical representation* of a number in a specific base, i.e. a String.

A logarithm-based solution does (some of) the same things the String-based one does internally, and probably does so (insignificantly) faster because it only produces the length and ignores the digits. But I wouldn't actually consider it clearer in intent - and that's the most important factor.

**Way to get number of digits in an int?,** Count the number of digits in a long integer entered by a user. Method 4: We can convert the number into string and then find the length of the string to get the Integer digit count. This method gets the number of digits in an integer. It avoids the ToString method. It is possible to determine the number of digits by using an implicit cast and several if-conditions. This approach avoids all allocations.

The logarithm is your friend:

int n = 1000; int length = (int)(Math.log10(n)+1);

NB: only valid for n > 0.

**Program to count digits in an integer (4 Different Methods ,** Example 1: Count Number of Digits in an Integer using while loop. public class NumberDigits { public static void main( For the numbers represented in decimal form, if we take their log in base 10 and round it up then we'll get the number of digits in that number: int length = (int) (Math.log10(number) + 1); Note that log 10 0 of any number is not defined. So if we're expecting any input with value 0, then we can put a check for that as well.

The fastest approach: divide and conquer.

Assuming your range is 0 to MAX_INT, then you have 1 to 10 digits. You can approach this interval using divide and conquer, with up to 4 comparisons per each input. First, you divide [1..10] into [1..5] and [6..10] with one comparison, and then each length 5 interval you divide using one comparison into one length 3 and one length 2 interval. The length 2 interval requires one more comparison (total 3 comparisons), the length 3 interval can be divided into length 1 interval (solution) and a length 2 interval. So, you need 3 or 4 comparisons.

No divisions, no floating point operations, no expensive logarithms, only integer comparisons.

Code (long but fast):

if (n < 100000){ // 5 or less if (n < 100){ // 1 or 2 if (n < 10) return 1; else return 2; }else{ // 3 or 4 or 5 if (n < 1000) return 3; else{ // 4 or 5 if (n < 10000) return 4; else return 5; } } } else { // 6 or more if (n < 10000000) { // 6 or 7 if (n < 1000000) return 6; else return 7; } else { // 8 to 10 if (n < 100000000) return 8; else { // 9 or 10 if (n < 1000000000) return 9; else return 10; } } }

Benchmark (after JVM warm-up) - see code below to see how the benchmark was run:

- baseline method (with String.length): 2145ms
- log10 method: 711ms = 3.02 times as fast as baseline
- repeated divide: 2797ms = 0.77 times as fast as baseline
- divide-and-conquer: 74ms = 28.99 times as fast as baseline

Full code:

public static void main(String[] args) throws Exception { // validate methods: for (int i = 0; i < 1000; i++) if (method1(i) != method2(i)) System.out.println(i); for (int i = 0; i < 1000; i++) if (method1(i) != method3(i)) System.out.println(i + " " + method1(i) + " " + method3(i)); for (int i = 333; i < 2000000000; i += 1000) if (method1(i) != method3(i)) System.out.println(i + " " + method1(i) + " " + method3(i)); for (int i = 0; i < 1000; i++) if (method1(i) != method4(i)) System.out.println(i + " " + method1(i) + " " + method4(i)); for (int i = 333; i < 2000000000; i += 1000) if (method1(i) != method4(i)) System.out.println(i + " " + method1(i) + " " + method4(i)); // work-up the JVM - make sure everything will be run in hot-spot mode allMethod1(); allMethod2(); allMethod3(); allMethod4(); // run benchmark Chronometer c; c = new Chronometer(true); allMethod1(); c.stop(); long baseline = c.getValue(); System.out.println(c); c = new Chronometer(true); allMethod2(); c.stop(); System.out.println(c + " = " + StringTools.formatDouble((double)baseline / c.getValue() , "0.00") + " times as fast as baseline"); c = new Chronometer(true); allMethod3(); c.stop(); System.out.println(c + " = " + StringTools.formatDouble((double)baseline / c.getValue() , "0.00") + " times as fast as baseline"); c = new Chronometer(true); allMethod4(); c.stop(); System.out.println(c + " = " + StringTools.formatDouble((double)baseline / c.getValue() , "0.00") + " times as fast as baseline"); } private static int method1(int n) { return Integer.toString(n).length(); } private static int method2(int n) { if (n == 0) return 1; return (int)(Math.log10(n) + 1); } private static int method3(int n) { if (n == 0) return 1; int l; for (l = 0 ; n > 0 ;++l) n /= 10; return l; } private static int method4(int n) { if (n < 100000) { // 5 or less if (n < 100) { // 1 or 2 if (n < 10) return 1; else return 2; } else { // 3 or 4 or 5 if (n < 1000) return 3; else { // 4 or 5 if (n < 10000) return 4; else return 5; } } } else { // 6 or more if (n < 10000000) { // 6 or 7 if (n < 1000000) return 6; else return 7; } else { // 8 to 10 if (n < 100000000) return 8; else { // 9 or 10 if (n < 1000000000) return 9; else return 10; } } } } private static int allMethod1() { int x = 0; for (int i = 0; i < 1000; i++) x = method1(i); for (int i = 1000; i < 100000; i += 10) x = method1(i); for (int i = 100000; i < 1000000; i += 100) x = method1(i); for (int i = 1000000; i < 2000000000; i += 200) x = method1(i); return x; } private static int allMethod2() { int x = 0; for (int i = 0; i < 1000; i++) x = method2(i); for (int i = 1000; i < 100000; i += 10) x = method2(i); for (int i = 100000; i < 1000000; i += 100) x = method2(i); for (int i = 1000000; i < 2000000000; i += 200) x = method2(i); return x; } private static int allMethod3() { int x = 0; for (int i = 0; i < 1000; i++) x = method3(i); for (int i = 1000; i < 100000; i += 10) x = method3(i); for (int i = 100000; i < 1000000; i += 100) x = method3(i); for (int i = 1000000; i < 2000000000; i += 200) x = method3(i); return x; } private static int allMethod4() { int x = 0; for (int i = 0; i < 1000; i++) x = method4(i); for (int i = 1000; i < 100000; i += 10) x = method4(i); for (int i = 100000; i < 1000000; i += 100) x = method4(i); for (int i = 1000000; i < 2000000000; i += 200) x = method4(i); return x; }

Again, benchmark:

- baseline method (with String.length): 2145ms
- log10 method: 711ms = 3.02 times as fast as baseline
- repeated divide: 2797ms = 0.77 times as fast as baseline
- divide-and-conquer: 74ms = 28.99 times as fast as baseline

**Edit:**
After I wrote the benchmark, I took a sneak peak into Integer.toString from Java 6, and I found that it uses:

final static int [] sizeTable = { 9, 99, 999, 9999, 99999, 999999, 9999999, 99999999, 999999999, Integer.MAX_VALUE }; // Requires positive x static int stringSize(int x) { for (int i=0; ; i++) if (x <= sizeTable[i]) return i+1; }

I benchmarked it against my divide-and-conquer solution:

- divide-and-conquer: 104ms
- Java 6 solution - iterate and compare: 406ms

Mine is about 4x as fast as the Java 6 solution.

**Java Program to Count Number of Digits in an Integer,** In this example, you will learn to count the number of digits in an integer entered by the user with output and explanation Get the number of digits in an int. you'd simply negate u if u < 0 before counting the number of digits Efficient way to determine number of digits in an integer.

Two comments on your benchmark: Java is a complex environment, what with just-in-time compiling and garbage collection and so forth, so to get a fair comparison, whenever I run a benchmark, I always: (a) enclose the two tests in a loop that runs them in sequence 5 or 10 times. Quite often the runtime on the second pass through the loop is quite different from the first. And (b) After each "approach", I do a System.gc() to try to trigger a garbage collection. Otherwise, the first approach might generate a bunch of objects, but not quite enough to force a garbage collection, then the second approach creates a few objects, the heap is exhausted, and garbage collection runs. Then the second approach is "charged" for picking up the garbage left by the first approach. Very unfair!

That said, neither of the above made a significant difference in this example.

With or without those modifications, I got very different results than you did. When I ran this, yes, the toString approach gave run times of 6400 to 6600 millis, while the log approach topok 20,000 to 20,400 millis. Instead of being slightly faster, the log approach was 3 times slower for me.

Note that the two approaches involve very different costs, so this isn't totally shocking: The toString approach will create a lot of temporary objects that have to be cleaned up, while the log approach takes more intense computation. So maybe the difference is that on a machine with less memory, toString requires more garbage collection rounds, while on a machine with a slower processor, the extra computation of log would be more painful.

I also tried a third approach. I wrote this little function:

static int numlength(int n) { if (n == 0) return 1; int l; n=Math.abs(n); for (l=0;n>0;++l) n/=10; return l; }

That ran in 1600 to 1900 millis -- less than 1/3 of the toString approach, and 1/10 the log approach on my machine.

If you had a broad range of numbers, you could speed it up further by starting out dividing by 1,000 or 1,000,000 to reduce the number of times through the loop. I haven't played with that.

**C Program to Count Number of Digits in an Integer,** But how many digits does an integer x x x have, if x 2 x^2 x2 has more than 2 but less than 4 digits? Reveal the answer. Count the number of digits in a long integer entered by a user. The integer entered by the user is stored in variable n. Then the while loop is iterated until the test expression n != 0 is evaluated to 0 (false). After first iteration, the value of n will be 345 and the count is incremented to 1.

**Using Java**

int nDigits = Math.floor(Math.log10(Math.abs(the_integer))) + 1;

use `import java.lang.Math.*;`

in the beginning

**Using C**

int nDigits = floor(log10(abs(the_integer))) + 1;

use `inclue math.h`

in the beginning

**Finding The Number of Digits,** How to find total digits in a given integer using loop in C programming. Logic to count digits in a given integer without using loop in C program. Some problems ask you to find the number of digits of an integer or variable. For example, the number 23 has two digits, and the number 1337 has four. But how many digits does an integer x x x have, if x 2 x^2 x 2 has more than 2 but less than 4 digits?

**C program to count number of digits in an integer,** +2 votes. Best answer. we can find the integer length by following method. +1 vote. int n,count=0,length; while(n>0){ n=n%10; count++; n=n/10; } length=count;. int iNums = 12476; std::ostringstream os; os << iNums; std::string digits = os.str(); +1: This is the most general/flexible way to solve this type of problem in C++: learn this and you'll be ready for a lot of other small tasks. Once you have digits, you can iterate over the string printing each digit however you like.

**How to find the integer length in java?,** If I have a number 2500, I want the output to be: 2, 5, 0, 0. How can I separate the numbers into digits? Enter an integer: 3452 Number of digits: 4. The integer entered by the user is stored in variable n. Then the while loop is iterated until the test expression n != 0 is evaluated to 0 (false). After first iteration, the value of n will be 345 and the count is incremented to 1.

**How can I separate the digits of an int number in Java?,** Java program to count number of digits:How to write a Java Program to Count nextInt(); while(Number > 0) { Number = Number / 10; Count = Count + 1; } Way to get number of digits in an int? 0 votes . 1 view. asked Aug 12, 2019 in Java by Anvi (10.2k points) Is there a neater way for getting the length of an int than

##### Comments

- define length of an int please.
- I think he wants to count the digits in the number.
- The answers that people are giving you are correct...they give you the length of you int without converting it to a string...but why don't you want to convert it to a string? Is it a speed thing? If so, I'm not convinced that these methods will be any faster...you might want to do some tests (or decide if it even matters.)
- @ptomli hexadecimal digits are still digits, just in a different base system.
- @Ptomli Sure, but both in the Integer.toString function, and in general conversation, decimal is the default. When the bank tells me, "Write the amount of your check in this box", I don't ask them whether I should write it in decimal, hex, or octal. We assume decimal unless otherwise specified or called for by context.
- +1 for consider intent of the code when picking a way to solve a problem
- Datapoint: On my machine, the log method seems to run just under twice as fast as the string length methods. I wouldn't call that insignificant if the method gets called a lot or in a time-critical section of code.
- See my benchmark unit test below(wich may be flawed too i am no benchmark expert). Over a large number of runs (100 000 000), the speed is 11s to 8s on my machine hardly twice as fast.
- @CPerkins. Premature optimization. You know the spiel.
- Some (pretty late) addition: It might not work properly for negative values, depending if you expect the "-" to be a digit or not. Adding
`Math.abs()`

will fix this, though.