Table of contents  
Introduction  
Decimal to Binary Conversion  
Binary to Decimal Conversion  
Decimal to Hexadecimal Conversion  
Hexadecimal to Decimal Conversion 
Number system conversion is a common task in programming, and Python provides builtin functions to convert numbers from one number system to another. Understanding number system conversions is essential for working with different types of data and solving mathematical problems. This article will introduce you to the concept of number system conversion in Python and provide simple code examples to help you understand the process.
Binary is a base2 number system that uses only two digits: 0 and 1. Converting decimal numbers to binary is a common operation in computer science. Python provides the 'bin()' function to convert decimal numbers to binary format.
Here's an example that demonstrates how to convert a decimal number to binary:
decimal_number = 10
binary_number = bin(decimal_number)
print(binary_number) # Output: 0b1010
In the example above, the 'bin()' function takes the decimal number '10' as input and returns a binary representation of the number as a string ('0b1010'). The prefix '0b' indicates that the number is in binary format.
Converting binary numbers to decimal is also a common operation. Python provides the 'int()' function to convert binary strings to decimal numbers.
Let's see an example:
binary_number = '1010'
decimal_number = int(binary_number, 2)
print(decimal_number) # Output: 10
In the example above, the int() function takes the binary string '1010' and the base '2' as arguments. It returns the decimal representation of the binary number ('10' in this case).
Hexadecimal is a base16 number system that uses digits from 0 to 9 and letters from A to F to represent values from 10 to 15. Python provides the 'hex()' function to convert decimal numbers to hexadecimal format.
Here's an example:
decimal_number = 255
hexadecimal_number = hex(decimal_number)
print(hexadecimal_number) # Output: 0xff
In the example above, the 'hex()' function takes the decimal number '255' as input and returns a hexadecimal representation of the number as a string ('0xff'). The prefix '0x' indicates that the number is in hexadecimal format.
Converting hexadecimal numbers to decimal is straightforward in Python. The 'int()' function can also be used to convert hexadecimal strings to decimal numbers by specifying the base as '16'.
Let's see an example:
hexadecimal_number = 'ff'
decimal_number = int(hexadecimal_number, 16)
print(decimal_number) # Output: 255
In the example above, the 'int()' function takes the hexadecimal string 'ff' and the base '16' as arguments. It returns the decimal representation of the hexadecimal number ('255' in this case).
Problem 1: Convert the decimal number 42 to binary.
decimal_number = 42
binary_number = bin(decimal_number)
print(binary_number) # Output: 0b101010
Problem 2: Convert the binary number 1101 to decimal.
binary_number = '1101'
decimal_number = int(binary_number, 2)
print(decimal_number) # Output: 13
Problem 3: Convert the decimal number 128 to hexadecimal.
decimal_number = 128
hexadecimal_number = hex(decimal_number)
print(hexadecimal_number)
49 videos38 docs18 tests

49 videos38 docs18 tests


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