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Improve Article Save Article View Discussion Improve Article Save Article Given a decimal number as input, the task is to write a Python program to convert the given decimal number into an equivalent binary
number. Input : 7 Output :111 Input :10 Output :1010 Method #1: Recursive solution DecimalToBinary(num): if num >= 1: DecimalToBinary(num // 2) print num % 2 Below is the implementation of the above recursive solution: Python3
Method #2: Decimal to binary using in-built function Python3
Method #3:Without in-built function Python3
Quick Ninja Method: One Line Code to Convert Decimal to Binary with user input Python3or Python3
Output 1001010110001 1010 101011001 Learn how to 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. In this article, we’ll learn how to convert Decimal to Binary in Python, using built-in python functions and without it. 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 BinaryDecimal 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. Consider a value 265:
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:
Binary Digit Representation:
Binary to Decimal Conversion in PythonWe 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
Hence, (01011)2=(0×24)+(1×23)+(0×22)+(1×21 )+(1×20)=(0)+(8)+(0)+(2)+(1)=(11)10(01011)^2 = (0×2^4) + (1×2^3) + (0×2^2) + (1×2^1) + (1×2^0) = (0)+(8)+(0)+(2)+(1) =(11)_{10} Therefore, the binary(base-2) (01011)2(01011)_2 is equivalent to (11)1 0(11)_{10} Decimal(base-10) number. Convert Binary to Decimal in PythonWe 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 Syntax: Code:
Output: Decimal to Binary Conversion in PythonLet’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 PythonNow 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 Code:
Output: 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. Code:
Output: 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:Code:
Output: Conclusion
Some of the ways to convert Decimal to Binary in Python are by using a custom recursive function, built-in functionbin(<value>) or using “{0:b}”.format(int(<value>)). Read More:1- How to Convert int to string in Python How do I convert decimal to binary?What are the Rules to Convert Decimal to Binary?. Write down the number.. Divide it by 2 and note the remainder.. Divide the quotient obtained by 2 and note the remainder.. Repeat the same process till we get 0 as the quotient.. Write the values of all the remainders starting from the bottom to the top.. How do you convert decimal numbers in Python?str() method can be used to convert decimal to string in Python. Parameters: object: The object whose string representation is to be returned.
How do you print binary equivalent in Python?Given a positive number N, the task here is to print the binary value of numbers from 1 to N.. Divide k by 2.. Recursive call on the function and print remainder while returning from the recursive call.. Repeat the above steps till the k is greater than 1.. Repeat the above steps till we reach N.. |