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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.

Question

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.

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Solution

Sure, here is a step-by-step explanation of how to convert a binary number to a decimal number in Python:

  1. Define a function binarytodecimal(binary) that takes a binary number as a string.

  2. Initialize a variable decimal to 0. This will hold the decimal equivalent of the binary number.

  3. Reverse the binary string using slicing [::-1]. This is because the least significant bit in a binary number is at the end, but when we iterate over the string, we start from the beginning.

  4. Iterate over the reversed binary string with a for loop. For each bit in the binary string, multiply the bit (converted to an integer) by 2 raised to the power of its position. Add this to decimal.

  5. After the loop, return decimal.

Here is the Python code that implements these steps:

def binarytodecimal(binary):
    decimal = 0
    binary = binary[::-1]
    for i in range(len(binary)):
        decimal += int(binary[i]) * 2 ** i
    return decimal

You can test this function with the example you provided:

print(binarytodecimal('00000100'))  # Output: 4

This function works by treating each bit in the binary number as a coefficient of a power of 2. The least significant bit is the coefficient of 2^0, the next bit is the coefficient of 2^1, and so on. By summing up these terms, we get the decimal equivalent of the binary number.

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How can we convert a decimal number into binary using a Python program? Can you thinkof 2 methods to do it?

Program for Decimal to Binary Conversion

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A binary number is a combination of 1s and 0s. Its nth least significant digit is the nth digit starting from the right. Given a decimal number, convert it to binary and determine the value of the 4th least significant digit. Create a user-defined function in python to accomplish this task. If the 4th least significant digit is not available, print “NA”. Read N number of integers and print their 4th least significant digits as shown in sample input and output. Sample Input:42377909985Sample Output:010NA

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