Given a number n, the task is to generate a random binary string of length n.
Examples:
Input: 7 Output: Desired length of random binary string is: 1000001 Input: 5 Output: Desired length of random binary string is: 01001
Approach
- Initialize an empty string, say key
- Generate a randomly either “0” or “1” using randint function from random package.
- Append the randomly generated “0” or “1” to the string, key
- Repeat step 2 and 3 for the desired length of the string
Below is the implementation.
Python3
# Python program for random# binary string generationimport random# Function to create the# random binary stringdef rand_key(p): # Variable to store the # string key1 = "" # Loop to find the string # of desired length for i in range(p): # randint function to generate # 0, 1 randomly and converting # the result into str temp = str(random.randint(0, 1)) # Concatenation the random 0, 1 # to the final result key1 += temp return(key1)# Driver Coden = 7str1 = rand_key(n)print("Desired length random binary string is: ", str1) |
Output:
Desired length random binary string is: 1000001
The Time and Space Complexity for all the methods are the same:
Time Complexity: O(n)
Auxiliary Space: O(n)
Using random.getrandbits():
Python3
import randomdef generate_binary_string(n): # Generate a random number with n bits number = random.getrandbits(n) # Convert the number to binary binary_string = format(number, '0b') return binary_string# Test the functionn = 7print("Random binary string of length {}: {}".format(n, generate_binary_string(n)))#This code is contributed by Edula Vinay Kumar Reddy |
Random binary string of length 7: 1010000
Explanation:
The random.getrandbits(n) function generates a random number with n bits.
The format() function is used to convert the number to binary format. The format string ‘0b’ specifies that the output should be in binary form.
Time Complexity: O(n), where n is the number of bits in the binary string.
Auxiliary Space: O(n), where n is the number of bits in the binary string. This is the space required to store the binary string.

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