# Python Program to Print Binary Representation of a Number

Binary Representation:

Binary (or base-2) is a numeral system with only two digits — 0 and 1. Computers use binary to store data and execute calculations, which means they only use zeros and ones. In Boolean logic, a single binary digit can only represent True (1) or False (0). Any integer, in fact, can be represented in binary.

Given a decimal number the task is to convert the given decimal to binary

Examples:

Example1:

Input:

given number =200

Output:

The binary representation of the given number 200  :
11001000

Example2:

Input:

given number =1

Output:

The binary representation of the given number 1:
1

Example3:

Input:

given number =32

Output:

The binary representation of the given number 32  :
100000

## Python Program to Print Binary Representation of a Number

There are several ways to print the binary representation of a given decimal number some of them are:

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### Method #1:Using recursive function

To find a binary equivalent, divide the decimal number recursively by the value 2 until the decimal number hits zero. The remaining must be noted after each division. The binary equivalent of the decimal number is obtained by reversing the remaining values.

Algorithm:

1. Get the given decimal number from the user or static input.
2. If the input is larger than zero, divide it by 2 and record the remainder.
3. Step 2 should be repeated until the decimal number reaches zero.
4. The residual values should be printed.
5. End of program

Below is the implementation:

def decitoBin(numb):
# checking if the given number is greater than 1
if numb > 1:
# if it is greater than 1 then use recursive approach by dividing number by 2
decitoBin(numb // 2)
# printing the binary representation of the given number
print(numb % 2, end='')

# Driver code
given_numb = 200
# passing given number to decitoBin function to print binary representation of the givennumb
print("The binary representation of the given number", given_numb, " : ")
decitoBin(given_numb)


Output:

The binary representation of the given number 200  :
11001000

### Method #2:Using while loop

Approach:

• First we take a empty string say binstr.
• We use while loop .
• We will iterate till the number is greater than 0 (Condition of while statement)
• We will get the last check bit whether it is set bit or not using % operator
• Convert the set bit to string using str() function
• Concatenate this bit(can be 1 or 0 ) to the binstr.
• Reverse this binstr using slicing
• Print the binary representation of the given number that is print binstr.

Below is the implementation:

def decitoBin(numb):
# checking if the given number is greater than 1
if numb > 1:
# taking a empty string
binastring = ""
# looping till number greater than 0 using while loop
while(numb > 0):
# We will get the last check bit whether it is set bit or not using % operator
checkbit = numb % 2
# converting this checkbit to string using str() function
checkbit = str(checkbit)
# Concatenate this bit(can be 1 or 0 ) to the binstr.
binastring = binastring+checkbit
# divide the number by 2
numb = numb//2
# reverse the binary string
binastring = binastring[::-1]
# return the resultant binary string
return binastring

# Driver code
given_numb = 200
# passing given number to decitoBin function to print binary representation of the givennumb
print("The binary representation of the given number", given_numb, " : ")
print(decitoBin(given_numb))


Output:

The binary representation of the given number 200  :
11001000

### Method #3:Using Built in Python function bin()

Approach:

• We will use bin() function to convert the given decimal number to binary representation.
• It will return the result in the form of  0bXXXXXXXXX where XXXXXXXX is binary representation.
• To remove that 0b characters from the string we use two methods
• Print the resultant binary representation.

i)Using replace function

We will replace the 0b in the binary string with empty string.

Below is the implementation:

def decitoBin(numb):
# converting it to binary representation using bin() function
binNumb = bin(numb)
# replacing '0b' using replace function and replacing it with empty string
binNumb = binNumb.replace('0b', '')
# return the binary representation of the given number
return binNumb

# Driver code
given_numb = 200
# passing given number to decitoBin function to print binary representation of the givennumb
print("The binary representation of the given number", given_numb, " : ")
print(decitoBin(given_numb))


Output:

The binary representation of the given number 200  :
11001000

The binary representation of the given decimal number will be printed.

ii)Using slicing

We will slice from 2 index to last index of the result returned by binary string

Below is the implementation:

def decitoBin(numb):
# converting it to binary representation using bin() function
binNumb = bin(numb)
# We will slice from 2 index to last index of the result returned by binary string
binNumb = binNumb[2:]
# return the binary representation of the given number
return binNumb

# Driver code
given_numb = 200
# passing given number to decitoBin function to print binary representation of the givennumb
print("The binary representation of the given number", given_numb, " : ")
print(decitoBin(given_numb))


Output:

The binary representation of the given number 200  :
11001000

The binary representation of the given decimal number will be printed.

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