Python program to convert Base 4 system to binary number

Given a base 4 number N, the task is to write a python program to print its binary equivalent.

Conversion Table:

Examples:

Input       : N=11002233
Output      : 101000010101111
Explanation : From that conversion table we changed 1 to 01, 2 to 10 ,3 to 11 ,0 to 00.

Input : N=321321
Output: 111001111001

Method 1:

• Take an empty string say resultstr.
• We convert the decimal number to string.
• Traverse the string and convert each character to an integer
• If the integer is 1 or 0 then before converting to binary add ‘0’ to resultstr (Because we cannot have 01,00 in integers)
• Now convert this integer to binary string and concatenate the resultant binary string to resultstr.
• Convert resultstr to integer(which removes leading zeros).
• Return resultstr.

Below is the implementation of the above approach as follows:

Output:

101000010101111

Time Complexity: O(n), Auxiliary Space: O(1)

Here n is the length of the no

Method 2:

Step-by-step approach:

• The base4_to_binary function takes a string num representing a number in base 4 as input.
• The function first converts the number to base 10 by multiplying each digit in the number by 4 raised to the power of its position (i.e., the rightmost digit is in position 0, the next digit is in position 1, and so on). This is done by iterating through the digits of the number in reverse order and adding the product of the digit and 4 raised to the power of its position to a variable base10.
• The function then converts the number from base 10 to binary using the built-in bin() function in Python. The bin() function returns a string with a ‘0b’ prefix, so we slice off the first two characters to get the binary representation of the number as a string.
• The function returns the binary representation of the number as a string.

The binary representation of 11002233 is 101000010101111
The binary representation of 321321 is 111001111001

Time complexity: O(n)
Auxiliary Space: O(1)