How can we convert a decimal number into binary using a Python program? Can you thinkof 2 methods to do it?
Question
How can we convert a decimal number into binary using a Python program? Can you thinkof 2 methods to do it?
Solution
Sure, I can provide two methods to convert a decimal number into binary using Python.
Method 1: Using the built-in function bin()
def decimal_to_binary(n):
return bin(n).replace("0b", "")
# Test the function
print(decimal_to_binary(10)) # Output: 1010
In this method, we use Python's built-in function bin(), which converts an integer number to a binary string prefixed with "0b". We then use the replace() function to remove this prefix.
Method 2: Using bitwise shift and bitwise AND operations
def decimal_to_binary(n):
binary = 0
i = 1
while (n != 0):
remainder = n % 2
n = n // 2
binary = binary + remainder * i
i = i * 10
return binary
# Test the function
print(decimal_to_binary(10)) # Output: 1010
In this method, we use bitwise shift (// 2) and bitwise AND (% 2) operations to get the binary equivalent of the given decimal number. We start from the least significant bit and go towards the most significant bit, multiplying the remainder by powers of 10 (to place it at the correct position in the binary number), and adding it to the binary number.
Similar Questions
Program for Decimal to Binary Conversion
Assume binary represents an unsigned binary number of arbitrary length. Write a function binarytodecimal(binary) to calculate the decimal equivalent of binary. Pass the binary number as a parameter of type str (string) to the function.For example, if binary = '00000100', its decimal equivalent is 4. Try your algorithm out by entering each step into Python and make sure it works.
Convert decimal number 9.125 to binary number.
Explain how you would convert a decimal to a binary number. What is the significance of the resulting binary number in computer systems?
1. Decimal to Binary: - Start with the decimal number. - Divide the number by 2 and write down the remainder. - Repeat the division process with the quotient until it becomes 0. - Write down the remainders in reverse order. This is the binary equivalent.2. Binary to Decimal: - Start with the binary number. - Multiply each digit by 2 raised to the power of its position (starting from 0). - Sum up all these values. The result is the decimal equivalent.3. Binary to Hexadecimal: - Start with the binary number. - Group the binary digits into sets of four, starting from the right. - Convert each group of four into its hexadecimal equivalent (e.g., 0001 is 1, 1010 is A, 1111 is F). - Write down these hexadecimal digits in the same order. This is the hexadecimal equivalent.
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