{"id":20529,"date":"2021-09-15T19:50:41","date_gmt":"2021-09-15T14:20:41","guid":{"rendered":"https:\/\/python-programs.com\/?p=20529"},"modified":"2021-11-22T18:36:18","modified_gmt":"2021-11-22T13:06:18","slug":"python-program-to-count-minimum-bits-to-flip-such-that-xor-of-a-and-b-equal-to-c","status":"publish","type":"post","link":"https:\/\/python-programs.com\/python-program-to-count-minimum-bits-to-flip-such-that-xor-of-a-and-b-equal-to-c\/","title":{"rendered":"Python Program to Count Minimum Bits to Flip such that XOR of A and B Equal to C"},"content":{"rendered":"<p>In the previous article, we have discussed <a href=\"https:\/\/python-programs.com\/python-program-to-check-if-a-number-has-bits-in-alternate-pattern\/\">Python Program to Check if a Number has Bits in Alternate Pattern<\/a><\/p>\n<p>Given an N-bit binary sequence consisting of three binary sequences A, B, and C. Count the minimal number of bits required to flip A and B in such a way that the XOR of A and B equals C.<\/p>\n<p><strong>X\u00a0 \u00a0 \u00a0 \u00a0Y\u00a0 \u00a0 \u00a0 X XOR Y<\/strong><\/p>\n<p>0\u00a0 \u00a0 \u00a0 \u00a00\u00a0 \u00a0 \u00a0 \u00a0 0<\/p>\n<p>0\u00a0 \u00a0 \u00a0 \u00a01\u00a0 \u00a0 \u00a0 \u00a0 1<\/p>\n<p>1\u00a0 \u00a0 \u00a0 \u00a00\u00a0 \u00a0 \u00a0 \u00a0 1<\/p>\n<p>1\u00a0 \u00a0 \u00a0 \u00a01\u00a0 \u00a0 \u00a0 \u00a0 0<\/p>\n<p><strong>Cases:<\/strong><\/p>\n<ul class=\"list\">\n<li>If A[i]==B[i] and C[i]==0 then no flip,<\/li>\n<li>If A[i]==B[i] and C[i]==1 then flip either A[i] or B[i] and increase flip count by 1<\/li>\n<li>If A[i]!=B[i] and C[i]==0 then flip either A[i] or B[i] and increase flip count by 1<\/li>\n<li>If A[i]!=B[i] and C[i]==1 then no flip required.<\/li>\n<\/ul>\n<p><strong>Examples:<\/strong><\/p>\n<p><strong>Example1:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given number = 5\r\nGiven first string=  \"11011\"\r\nGiven second string= \"11001\"\r\nGiven third string = \"11100\"<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The count of minimum bits to Flip in such a way that the XOR of A and B equals C =  4<\/pre>\n<p><strong>Example2:<\/strong><\/p>\n<p><strong>Input:<\/strong><\/p>\n<pre>Given number = 3\r\nGiven first string= \"110\"\r\nGiven second string= \"111\"\r\nGiven third string = \"101\"<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The count of minimum bits to Flip in such a way that the XOR of A and B equals C =  1<\/pre>\n<h2>Program to Count Minimum Bits to Flip such that XOR of A and B Equal to C in Python<\/h2>\n<p>Below are the ways to Count the minimal number of bits required to flip A and B in such a way that the XOR of A and B equals C:<\/p>\n<ul>\n<li><a href=\"#Using_For_Loop_(Static_Input)\">Using For Loop (Static Input)<\/a><\/li>\n<li><a href=\"#Using_For_loop_(User_Input)\">Using For loop (User Input)<\/a><\/li>\n<\/ul>\n<h3 id=\"Using_For_Loop_(Static_Input)\">Method #1: Using For Loop (Static Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number (which is the count of bits) as static input and store it in a variable.<\/li>\n<li>Give the first binary sequence string as static input and store it in another variable.<\/li>\n<li>Give the second binary sequence string as static input and store it in another variable.<\/li>\n<li>Give the third binary sequence string as static input and store it in another variable.<\/li>\n<li>Pass the given three sequence strings and the given number as the arguments to the <strong>Flips_Count<\/strong> function.<\/li>\n<li>Create a function to say <strong>Flips_Count <\/strong>which takes the given three sequence strings and the given number as the arguments and returns the count of minimum bits to Flip in such a way that the XOR of A and B equals C.<\/li>\n<li>Take a variable say <strong>totl_cnt<\/strong> and initialize its value to 0.<\/li>\n<li>Loop till the given number using the for loop.<\/li>\n<li>Check if the fst_seqnce[itr] == scnd_seqnce[itr] and third_seqnce[itr] == &#8216;1&#8217; using the if conditional statement.<\/li>\n<li>If the statement is true, then increment the value of above <strong>totl_cnt <\/strong>by 1.<\/li>\n<li>Store it in the same variable.<\/li>\n<li>Check if the fst_seqnce[itr] != scnd_seqnce[itr] and third_seqnce[itr] == &#8216;0&#8217; using the elif conditional statement.<\/li>\n<li>If the statement is true, then increment the value of above <strong>totl_cnt <\/strong>by 1.<\/li>\n<li>Store it in the same variable.<\/li>\n<li>Return the value of <strong>totl_cnt.<\/strong><\/li>\n<li>Print the\u00a0count of minimum bits to Flip in such a way that the XOR of A and B equals C.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Create a function to say Flips_Count which takes the given three sequence\r\n# strings and the given number as the arguments and returns the count of minimum bits\r\n# to Flip in such a way that the XOR of A and B equals C.\r\n\r\n\r\ndef Flips_Count(fst_seqnce, scnd_seqnce, third_seqnce, numb):\r\n    # Take a variable say totl_cnt and initialize its value to 0.\r\n    totl_cnt = 0\r\n    # Loop till the given number using the for loop.\r\n    for itr in range(numb):\r\n        # Check if the fst_seqnce[itr] == scnd_seqnce[itr] and third_seqnce[itr] == '1'\r\n        # using the if conditional statement.\r\n        if fst_seqnce[itr] == scnd_seqnce[itr] and third_seqnce[itr] == '1':\r\n          # If the statement is true, then increment the value of above totl_cnt by 1.\r\n          # Store it in the same variable.\r\n            totl_cnt = totl_cnt+1\r\n\r\n        # Check if the fst_seqnce[itr] != scnd_seqnce[itr] and third_seqnce[itr] == '0' using\r\n        # the elif conditional statement.\r\n        elif fst_seqnce[itr] != scnd_seqnce[itr] and third_seqnce[itr] == '0':\r\n          # If the statement is true, then increment the value of above totl_cnt by 1.\r\n          # Store it in the same variable.\r\n            totl_cnt = totl_cnt+1\r\n    # Return the value of totl_cnt.\r\n    return totl_cnt\r\n\r\n\r\n# Give the number (which is the count of bits) as static input and store it in a variable.\r\nnumb = 5\r\n# Give the first binary sequence string as static input and store it in another variable.\r\nfst_seqnce = \"11011\"\r\n# Give the second binary sequence string as static input and store it in another variable.\r\nscnd_seqnce = \"11001\"\r\n# Give the third binary sequence string as static input and store it in another variable.\r\nthird_seqnce = \"11100\"\r\n# Pass the given three sequence strings and the given number as the arguments to the\r\n# Flips_Count function.\r\n# Print the count of minimum bits to Flip in such a way that the XOR of A and B equals C.\r\nprint(\"The count of minimum bits to Flip in such a way that the XOR of A and B equals C = \",\r\n      Flips_Count(fst_seqnce, scnd_seqnce, third_seqnce, numb))\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre id=\"codeOutputPre\">The count of minimum bits to Flip in such a way that the XOR of A and B equals C =  4<\/pre>\n<h3 id=\"Using_For_loop_(User_Input)\">Method #2: Using For loop (User Input)<\/h3>\n<p><strong>Approach:<\/strong><\/p>\n<ul>\n<li>Give the number (which is the count of bits) as user input using the int(input()) function and store it in a variable.<\/li>\n<li>Give the first binary sequence string as user input using the input() function and store it in another variable.<\/li>\n<li>Give the second binary sequence string as user input using the input() function and store it in another variable.<\/li>\n<li>Give the third binary sequence string as user input using the input() function and store it in another variable.<\/li>\n<li>Pass the given three sequence strings and the given number as the arguments to the <strong>Flips_Count<\/strong> function.<\/li>\n<li>Create a function to say <strong>Flips_Count <\/strong>which takes the given three sequence strings and the given number as the arguments and returns the count of minimum bits to Flip in such a way that the XOR of A and B equals C.<\/li>\n<li>Take a variable say <strong>totl_cnt<\/strong> and initialize its value to 0.<\/li>\n<li>Loop till the given number using the for loop.<\/li>\n<li>Check if the fst_seqnce[itr] == scnd_seqnce[itr] and third_seqnce[itr] == &#8216;1&#8217; using the if conditional statement.<\/li>\n<li>If the statement is true, then increment the value of above <strong>totl_cnt <\/strong>by 1.<\/li>\n<li>Store it in the same variable.<\/li>\n<li>Check if the fst_seqnce[itr] != scnd_seqnce[itr] and third_seqnce[itr] == &#8216;0&#8217; using the elif conditional statement.<\/li>\n<li>If the statement is true, then increment the value of above <strong>totl_cnt <\/strong>by 1.<\/li>\n<li>Store it in the same variable.<\/li>\n<li>Return the value of <strong>totl_cnt.<\/strong><\/li>\n<li>Print the\u00a0count of minimum bits to Flip in such a way that the XOR of A and B equals C.<\/li>\n<li>The Exit of the Program.<\/li>\n<\/ul>\n<p><strong>Below is the implementation:<\/strong><\/p>\n<pre class=\"EnlighterJSRAW\" data-enlighter-language=\"python\"># Create a function to say Flips_Count which takes the given three sequence\r\n# strings and the given number as the arguments and returns the count of minimum bits\r\n# to Flip in such a way that the XOR of A and B equals C.\r\n\r\n\r\ndef Flips_Count(fst_seqnce, scnd_seqnce, third_seqnce, numb):\r\n    # Take a variable say totl_cnt and initialize its value to 0.\r\n    totl_cnt = 0\r\n    # Loop till the given number using the for loop.\r\n    for itr in range(numb):\r\n        # Check if the fst_seqnce[itr] == scnd_seqnce[itr] and third_seqnce[itr] == '1'\r\n        # using the if conditional statement.\r\n        if fst_seqnce[itr] == scnd_seqnce[itr] and third_seqnce[itr] == '1':\r\n          # If the statement is true, then increment the value of above totl_cnt by 1.\r\n          # Store it in the same variable.\r\n            totl_cnt = totl_cnt+1\r\n\r\n        # Check if the fst_seqnce[itr] != scnd_seqnce[itr] and third_seqnce[itr] == '0' using\r\n        # the elif conditional statement.\r\n        elif fst_seqnce[itr] != scnd_seqnce[itr] and third_seqnce[itr] == '0':\r\n          # If the statement is true, then increment the value of above totl_cnt by 1.\r\n          # Store it in the same variable.\r\n            totl_cnt = totl_cnt+1\r\n    # Return the value of totl_cnt.\r\n    return totl_cnt\r\n\r\n\r\n# Give the number (which is the count of bits) as user input using the int(input()) function \r\n# and store it in a variable.\r\nnumb = int(input('Enter some random number = '))\r\n# Give the first binary sequence string as user input using the input() function and \r\n# store it in another variable.\r\nfst_seqnce = input('Enter some random binary number string  = ')\r\n# Give the second binary sequence string as user input using the input() function and \r\n# store it in another variable.\r\nscnd_seqnce = input('Enter some random binary number string  = ')\r\n# Give the third binary sequence string as user input using the input() function and \r\n# store it in another variable.\r\nthird_seqnce = input('Enter some random binary number string  = ')\r\n# Pass the given three sequence strings and the given number as the arguments to the\r\n# Flips_Count function.\r\n# Print the count of minimum bits to Flip in such a way that the XOR of A and B equals C.\r\nprint(\"The count of minimum bits to Flip in such a way that the XOR of A and B equals C = \",\r\n      Flips_Count(fst_seqnce, scnd_seqnce, third_seqnce, numb))\r\n<\/pre>\n<p><strong>Output:<\/strong><\/p>\n<pre>Enter some random number = 3\r\nEnter some random binary number string = 110\r\nEnter some random binary number string = 111\r\nEnter some random binary number string = 101\r\nThe count of minimum bits to Flip in such a way that the XOR of A and B equals C = 1<\/pre>\n<p>Enhance your coding skills with our list of <a href=\"https:\/\/python-programs.com\/python-programming-examples-with-output\/\">Python Basic Programs<\/a> provided and become a pro in the general-purpose programming language Python in no time.<\/p>\n<ul>\n<li><a href=\"https:\/\/python-programs.com\/python-program-for-efficient-way-to-multiply-with-7\/\">Python Program for Efficient Way to Multiply With 7<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-position-of-rightmost-set-bit\/\">Python Program to Find Position of Rightmost Set Bit<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-find-xor-of-two-numbers-without-using-xor-operator\/\">Python Program to Find XOR of Two Numbers Without Using XOR operator<\/a><\/li>\n<li><a href=\"https:\/\/python-programs.com\/python-program-to-check-if-a-number-has-bits-in-alternate-pattern\/\">Python Program to Check if a Number has Bits in Alternate Pattern<\/a><\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>In the previous article, we have discussed Python Program to Check if a Number has Bits in Alternate Pattern Given an N-bit binary sequence consisting of three binary sequences A, B, and C. 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