Python decimal to bytes

convert decimal to binary in Python

In this post, we are going to convert decimal to binary in Python with examples using built-in bin(), format() and f-string and recursion.

1.Bin() function convert decimal to binary in Python

In this example, we are using the bin() function to convert binary to decimal. It adds “0b” as the prefix of string representation using replace() to replace “0b” to ” “.

Python 3 program to convert Decimal to binary

def Dec_to_bin(num): decimal_num = bin(num).replace("0b", "") print(decimal_num) Dec_to_bin(13)

3. F-string to decimal to binary

In this example we are going to learn f-string. Python version 3.6 introduced the formatted string literal also known as “f-string”.The“f-string” is used for formatting the string and is easy to use and readable. To use it we have to start the string with “F” or “F” before quotation marks and write a Python expression or variable that contains literal values between < >that are evaluated at runtime.

Python Program to convert decimal to binary

num = 45 decimal_num = f"" print(decimal_num)

4. Recursion to Convert decimal to binary in Python

In this example, we are recursively converting decimal to binary in Python by defining a custom function dec_tobin() and calling it recursively.

Python Program to Convert decimal to binary

def dec_tobin(val): if val >= 1: dec_tobin(val // 2) print(val % 2, end = '') dec_tobin(45)

5. While loop to Convert decimal to binary in Python

In this example, we are using a while loop to Convert decimal to binary in Python.

Python Program Example

decNum = int(input("Please Enter a decimal number \n")) bin_val = 0 count = 0 tval = decNum while(tval > 0): bin_val = ((tval%2)*(10**count)) + bin_val tval = int(tval/2) count += 1 print("Binary of is: ".format(decnum=decNum,bin_val=bin_val))

Please Enter a decimal number 35 Binary of 35 is: 100011

Summary

In this post, we have learned how to convert decimal to binary in Python with examples by using built-in bin(), format(), and f-string and recursively.

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Convert Decimal to Binary in Python [3 Methods]

Problem: Write a Python Program to convert a decimal number into its corresponding binary representation using Python language.

In Python, we can solve this problem in 3 ways. Let’s see each of them one by one.

Convert Decimal to Binary in Python using While Loop

In this method, we accept the decimal number as an input and divide it by 2 until it is reduced to 0.

We then concatenate the remainders computed as the result of the division in a bottom-up manner to form the binary bumber.

#get input and initialize variables decimal = int(input("Enter a decimal number \n")) binary = 0 ctr = 0 temp = decimal #copy input decimal #find binary value using while loop while(temp > 0): binary = ((temp%2)*(10**ctr)) + binary temp = int(temp/2) ctr += 1 #output the result print("Binary of is: ".format(x=decimal,y=binary))

Enter a decimal number 2 Binary of 2 is: 10

Convert Decimal to Binary in Python using Recursion

In this method, we implement the logic of the previous method in recursive way to convert decimal into binary.

We pass the quotient (dividend/2) as a parameter to every recursive call and recursively divide it by 2.

To stack the remainders in bottom-up manner, we use the technique of the tail recursion i.e., print remainders after the recursive call.

def dectobin(decimal): if(decimal > 0): dectobin((int)(decimal/2)) print(decimal%2, end='') decimal = int(input("Enter a decimal number \n")) dectobin(decimal)

Enter a decimal number 5 Binary of 5 is: 101

Convert Decimal to Binary in Python using bin()

In this method, we use the built-in Python bin() method to convert an integer into its corresponding binary representation.

These were the 3 different methods using which we can easily transform any decimal number into a binary number in Python.

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Convert Decimal to Binary in Python

Base ten digits, ranging from 0 to 9, are used in the decimal or «denary» binary counting system. It is the most widely used system of numbering. Every digit in this system has a place and a decimal point. On the other hand, the binary system employs integers in base two, ranging from 0 to 1. It is the most straightforward system because it has two digits: 0 and 1. As a result, it is common for experts in computer programming or other related engineering fields to need to transform decimal code to binary.

Introduction

Binary is one of the most important foundational aspects of Computers and other Digital Systems. As we humans use languages to understand and communicate with each other, Computers and other Digital Systems use Binary. It is a base-2 number system with only two numbers, 0 & 1 , corresponding to ON & OFF states that your computer can understand.

As normal humans have ten fingers to represent a simple number system called Decimal, computers have these ON & OFF states representing Binary. So to understand and interpret the Binary, we need some technique to convert binary code into decimal (human-readable) code and vice versa. Thus, this article will discuss how to convert Decimal to Binary and vice versa, in context with one of the computer programming languages, Python.

Understanding Decimal and Binary

Decimal System(Base-10) uses ten numbers ranging from 0 to 9 and then uses their combinations to form digits, with each digit being worth ten times more than the last digit (1, 10, 100, so-on) going from left to right.

• Here, 265 is a combination of numbers ranging from 0 to 9 to form each digit
• Each digit is ten times more than the last digit going from left to right 5 -> 5×100; 6 -> 6×101; 2 -> 2×102

Binary System(Base-2) is also similar. It is a combination of numbers 0 or 1, with each digit worth two times more than the last digit(1, 2, 4, so-on) going from left to right.

Decimal Digit Representation:

…	[0 to 9]	[0 to 9]	[0 to 9]	[0 to 9]	[0 to 9]
…	1 0 4 10^4 1 0 4	1 0 3 10^3 1 0 3	1 0 2 10^2 1 0 2	1 0 1 10^1 1 0 1	1 0 0 10^0 1 0 0
N t h N^	N t h digit	5 t h 5^	5 t h digit	4 t h 4^	4 t h digit	3 r d 3^ 3 r d digit	2 n d 2^ 2 n d digit	1 s t 1^ 1 s t digit

Binary Digit Representation:

…	[0 or 1]	[0 or 1]	[0 or 1]	[0 or 1]	[0 or 1]
…	2 4 2^4 2 4	2 3 2^3 2 3	2 2 2^2 2 2	2 1 2^1 2 1	2 0 2^0 2 0
N t h N^	N t h digit	5 t h 5^	5 t h digit	4 t h 4^	4 t h digit	3 r d 3^ 3 r d digit	2 n d 2^ 2 n d digit	1 s t 1^ 1 s t digit

Binary to Decimal Conversion in Python

We have already seen that the Binary System is a combination of [0 or 1], with each digit worth two times more than the last digit, so let’s see how this information will help us convert binary to decimal equivalent.

Consider a Binary Number 01011

( 0 1 0 1 1 ) 2 = ( 0 × 2 4 ) + ( 1 × 2 3 ) + ( 0 × 2 2 ) + ( 1 × 2 1 ) + ( 1 × 2 0 ) = ( 0 ) + ( 8 ) + ( 0 ) + ( 2 ) + ( 1 ) = ( 1 1 ) 1 0 (01011)^2 = (0×2^4) + (1×2^3) + (0×2^2) + (1×2^1) + (1×2^0) = (0)+(8)+(0)+(2)+(1) =(11)_ <10>( 0 1 0 1 1 ) 2 = ( 0 × 2 4 ) + ( 1 × 2 3 ) + ( 0 × 2 2 ) + ( 1 × 2 1 ) + ( 1 × 2 0 ) = ( 0 ) + ( 8 ) + ( 0 ) + ( 2 ) + ( 1 ) = ( 1 1 ) 1 0 ​

Therefore, the binary(base-2) ( 0 1 0 1 1 ) 2 (01011)_2 ( 0 1 0 1 1 ) 2 ​ is equivalent to ( 1 1 ) 1 0 (11)_ ( 1 1 ) 1 0 ​ Decimal(base-10) number.

Convert Binary to Decimal in Python

We will see how to convert binary to Decimal in Python using a built-in function.

Built-in Function in Python to convert Binary to Decimal:

In Python, we can use the int() function to convert a binary to its decimal value. The int() function takes 2 arguments, a value and the base of the number to be converted, which is 2 in the case of binary numbers

Decimal to Binary Conversion in Python

Let’s try to understand the Decimal to binary conversion. The easiest technique to convert the decimal numbers to their binary equivalent is the Division by 2 .

In Division by 2 technique, we continuously divide a decimal number by 2 and note the reminder till we get 1 as our input value. Then we read the noted reminders in reverse order to get the final binary value.

Let’s break the earlier statements to get more clarity. Assume we have a special function that divides the input number by 2 and gives the remainder as output. For Decimal to Binary, we call this special function multiple times till we get the 1 as the input value. Then, we finally print all the saved reminders to get the final binary(base-2) value.

Converting Decimal To Binary in Python

Now we will see how to code the Decimal to Binary in Python. We will first try to code the technique we learned using a custom recursive function call in Python.

1. Custom Recursive Function in Python to convert Decimal to Binary:

In this sample, we will write the special function(DecimalToBinary) to implement for obtaining quotients(input to next function call) and the remainder(output value), and then we will call it repeatedly till the input value is greater than and equal to 1

Apart from this, Python also provides a built-in function to convert Decimal to Binary.

2. Built-in Function in Python to convert Binary to Decimal:

In Python, we can simply use the bin() function to convert from a decimal value to its corresponding binary value. The bin() takes a value as its argument and returns a binary equivalent.

Note: bin() return binary value with the prefix 0b , so depending on the use-case, formatting should be done to remove 0b .

We can also convert Decimal to Binary in another way apart from using the built-in function from Python.

3. Without using Built-in Function in Python to convert Binary to Decimal:

Conclusion

1. Most Computers and Digital systems use binary because of their reliable storing of data.
2. The Decimal system (base-10) uses a combination of numbers from 0 to 9 to form digits, with each digit being worth ten times more than the last digit.
3. The Binary system (base-2) uses a combination of 0 or 1 to form digits, with each digit being worth two times more than the last digit.
4. Binary to Decimal conversion is each digit’s weighted sum (2i x ith-value) .
5. Binary to Decimal in Python can be performed using the built-in function int(, )
6. Decimal to Binary conversion is achieved using the Division By 2 technique.

Some of the ways to convert Decimal to Binary in Python are by using a custom recursive function, built-in functionbin() or using “”.format(int()).

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