**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:**

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