# Python Program to Print All Co-binary Palindromic Numbers in a Range

Given the lower limit range and upper limit range, the task is to print all Co-binary Palindromic Numbers in the given range in Python.

Co-binary Palindromic Numbers:

A co-binary palindrome is a number that is a palindrome both as a decimal number and after being binary transformed.

Examples:

Example1:

Input:

Given upper limit range =11
Given lower limit range =2426

Output:

The Co-binary palindrome numbers in the given range 11 and 2426 are:
33 99 313 585 717

Example2:

Input:

Given upper limit range =5
Given lower limit range =12564

Output:

The Co-binary palindrome numbers in the given range 5 and 12564 are:
5 7 9 33 99 313 585 717 7447 9009

## Python

Below are the ways to print all Co-binary Palindromic Numbers in the given range in Python.

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

Approach:

• Give the lower limit range as static input and store it in a variable.
• Give the upper limit range as static input and store it in another variable.
• Create a function checkpalindromicNumb() which accepts the string as an argument and returns true if the string is palindrome else it returns False.
• Create a function convertBinar() which converts the given number to binary and returns it.
• Loop from lower limit range to upper limit range using For loop.
• Convert this iterator value to binary by passing it as an argument to convertBinar() function and store it in a variable say binarystrng.
• Convert this iterator value to a string using the str() function say strngnumb.
• Check if the strngnumb is palindrome or not by giving the given strngnumb as an argument to checkpalindromicNumb().
• Check if the binarystrng is palindrome or not by giving the givenÂ binarystrng as an argument to checkpalindromicNumb().
• Check if both statements are true using the and operator and If conditional Statement.
• If it is true then print it.
• The Exit of the Program.

Below is the implementation:

# Create a function checkpalindromicNumb() which accepts the string as an argument and
# returns true if the string is palindrome else it returns False.
def checkpalindromicNumb(val):
return val == val[::-1]
# Create a function convertBinar() which converts the given number to binary and returns it.
def convertBinar(orinumb):
return bin(orinumb)[2:]
# Give the lower limit range as static input and store it in a variable.
lowlimrange = 11
# Give the upper limit range as static input and store it in another variable.
upplimrange = 2426
print('The Co-binary palindrome numbers in the given range',
lowlimrange, 'and', upplimrange, 'are:')
# Loop from lower limit range to upper limit range using For loop.
for itervalu in range(lowlimrange, upplimrange+1):
# Convert this iterator value to binary by passing it as an argument
# to convertBinar() function and store it in a variable say binarystrng.
binarystrng = convertBinar(itervalu)
# Convert this iterator value to a string
# using the str() function say strngnumb.
strngnumb = str(itervalu)
# Check if the strngnumb is palindrome or not by giving the given strngnumb
# as an argument to checkpalindromicNumb().
# Check if the binarystrng is palindrome or not by giving the givenÂ binarystrng
# as an argument to checkpalindromicNumb().
# Check if both statements are true using the and operator and If conditional Statement.
if(checkpalindromicNumb(binarystrng) and checkpalindromicNumb(strngnumb)):
# If it is true then print it.
print(strngnumb, end=' ')


Output:

The Co-binary palindrome numbers in the given range 11 and 2426 are:
33 99 313 585 717

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

Approach:

• Give the lower limit range and upper limit range as user input using map(),int(),split() functions.
• Store them in two separate variables.
• Create a function checkpalindromicNumb() which accepts the string as an argument and returns true if the string is palindrome else it returns False.
• Create a function convertBinar() which converts the given number to binary and returns it.
• Loop from lower limit range to upper limit range using For loop.
• Convert this iterator value to binary by passing it as an argument to convertBinar() function and store it in a variable say binarystrng.
• Convert this iterator value to a string using the str() function say strngnumb.
• Check if the strngnumb is palindrome or not by giving the given strngnumb as an argument to checkpalindromicNumb().
• Check if the binarystrng is palindrome or not by giving the givenÂ binarystrng as an argument to checkpalindromicNumb().
• Check if both statements are true using the and operator and If conditional Statement.
• If it is true then print it.
• The Exit of the Program.

Below is the implementation:

# Create a function checkpalindromicNumb() which accepts the string as an argument and
# returns true if the string is palindrome else it returns False.
def checkpalindromicNumb(val):
return val == val[::-1]
# Create a function convertBinar() which converts the given number to binary and returns it.
def convertBinar(orinumb):
return bin(orinumb)[2:]

# Give the lower limit range and upper limit range as
# user input using map(),int(),split() functions.
# Store them in two separate variables.
lowlimrange, upplimrange = map(int, input(
'Enter lower limit range and upper limit range separate bt spaces = ').split())
print('The Co-binary palindrome numbers in the given range',
lowlimrange, 'and', upplimrange, 'are:')
# Loop from lower limit range to upper limit range using For loop.
for itervalu in range(lowlimrange, upplimrange+1):
# Convert this iterator value to binary by passing it as an argument
# to convertBinar() function and store it in a variable say binarystrng.
binarystrng = convertBinar(itervalu)
# Convert this iterator value to a string
# using the str() function say strngnumb.
strngnumb = str(itervalu)
# Check if the strngnumb is palindrome or not by giving the given strngnumb
# as an argument to checkpalindromicNumb().
# Check if the binarystrng is palindrome or not by giving the givenÂ binarystrng
# as an argument to checkpalindromicNumb().
# Check if both statements are true using the and operator and If conditional Statement.
if(checkpalindromicNumb(binarystrng) and checkpalindromicNumb(strngnumb)):
# If it is true then print it.
print(strngnumb, end=' ')


Output:

Enter lower limit range and upper limit range separate bt spaces = 5 12564
The Co-binary palindrome numbers in the given range 5 and 12564 are:
5 7 9 33 99 313 585 717 7447 9009

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