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Given a number N the task is to calculate the number of digits in the Nth Fibonacci Number.

**Fibonacci Numbers:**

Starting with 0 and 1, the next two numbers are simply the sum of the previous two numbers. The third number in this sequence, for example, is 0+1=1, hence the third number is 1. Similarly, the fourth number in this series will be 1+1=2, resulting in the fourth number being 2.

The Fibonacci Number Series is as follows: 0 1 1 2 3 5 8 13 21 and so on.

**Examples:**

**Example1:**

**Input:**

Given N=14

**Output:**

The Number of digits present in 14 th Fibonacci number is [ 3 ]

**Example2:**

**Input:**

Given N=23

**Output:**

The 23 th Fibonacci number is [ 17711 ] The Number of digits present in 23 th Fibonacci number is [ 5 ]

## Python Program to Find Number of Digits in Nth Fibonacci Number

Below are the ways to find the number of digits in the Nth Fibonacci Number.

### Method #1: Using For Loop (Static Input)

**Approach:**

- Give the number N as static input and store it in a variable.
- Take a variable temp1 and initialize its value to 0.
- Take another variable temp2 and initialize its value to 1.
- Loop till N-2 using For loop.
- Increment the value of temp1 by temp1 i.e temp1=temp1+temp2.
- Swap the values of temp1,temp2 using the
**‘,’**operator. - Check if the value of the given number N is 1 or not using the If statement.
- If it is true then print the value of temp1 which is the value of the nth Fibonacci number.
- Else print the value of temp2 which is the value of the nth Fibonacci number.
- Calculate the number of digits by converting it to string.
- Calculate the length of string which is the number of digits in the nth Fibonacci Number.
- The Exit of the Program.

**Below is the implementation:**

# Give the number N as static input and store it in a variable. numbr = 14 # Take a variable temp1 and initialize its value to 0. temp1 = 0 # Take another variable temp2 and initialize its value to 1. temp2 = 1 # Loop till N-2 using For loop. for z in range(numbr-2): # Increment the value of temp1 by temp1 i.e temp1=temp1+temp2. temp1 = temp1+temp2 # Swap the values of temp1,temp2 using the ',' operator. temp1, temp2 = temp2, temp1 # Check if the value of the given number N is 1 or not using the If statement. if(numbr == 1): # If it is true then print the value of temp1 which is the value of the nth Fibonacci number print('The', numbr, 'th Fibonacci number is [', temp1, ']') # Else print the value of temp2 which is the value of the nth Fibonacci number. else: print('The', numbr, 'th Fibonacci number is [', temp2, ']') # Calculate the number of digits by converting it to string. stringnumbr = str(temp2) # Calculate the length of string which is the number of digits in the nth Fibonacci Number. nLen = len(stringnumbr) print('The Number of digits present in', numbr, 'th Fibonacci number is [', nLen, ']')

**Output:**

The 14 th Fibonacci number is [ 233 ] The Number of digits present in 14 th Fibonacci number is [ 3 ]

### Method #2: Using For Loop (User Input)

**Approach:**

- Give the number N as user input using int(input()) and store it in a variable.
- Take a variable temp1 and initialize its value to 0.
- Take another variable temp2 and initialize its value to 1.
- Loop till N-2 using For loop.
- Increment the value of temp1 by temp1 i.e temp1=temp1+temp2.
- Swap the values of temp1,temp2 using the
**‘,’**operator. - Check if the value of the given number N is 1 or not using the If statement.
- If it is true then print the value of temp1 which is the value of the nth Fibonacci number.
- Else print the value of temp2 which is the value of the nth Fibonacci number.
- Calculate the number of digits by converting it to string.
- Calculate the length of string which is the number of digits in the nth Fibonacci Number.
- The Exit of the Program.

**Below is the implementation:**

# Give the number N as user input using int(input()) and store it in a variable. numbr = int(input('Enter some random nth number = ')) # Take a variable temp1 and initialize its value to 0. temp1 = 0 # Take another variable temp2 and initialize its value to 1. temp2 = 1 # Loop till N-2 using For loop. for z in range(numbr-2): # Increment the value of temp1 by temp1 i.e temp1=temp1+temp2. temp1 = temp1+temp2 # Swap the values of temp1,temp2 using the ',' operator. temp1, temp2 = temp2, temp1 # Check if the value of the given number N is 1 or not using the If statement. if(numbr == 1): # If it is true then print the value of temp1 which is the value of the nth Fibonacci number print('The', numbr, 'th Fibonacci number is [', temp1, ']') # Else print the value of temp2 which is the value of the nth Fibonacci number. else: print('The', numbr, 'th Fibonacci number is [', temp2, ']') # Calculate the number of digits by converting it to string. stringnumbr = str(temp2) # Calculate the length of string which is the number of digits in the nth Fibonacci Number. nLen = len(stringnumbr) print('The Number of digits present in', numbr, 'th Fibonacci number is [', nLen, ']')

**Output:**

Enter some random nth number = 23 The 23 th Fibonacci number is [ 17711 ] The Number of digits present in 23 th Fibonacci number is [ 5 ]

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