Givet et decimaltal som input, skal vi skrive et program til at konvertere det givne decimaltal til et tilsvarende binært tal.
java string format langt
Eksempler på Decimal til binær :
Input : 7 Output : 111 Input : 10 Output : 1010 Input: 33 Output: 100001>Anbefalet praksisDecimal til binærPrøv det!
Brute force Approach
For eksempel :
Hvis decimaltallet er 10.
Trin 1 : Resten, når 10 divideres med 2, er nul. Derfor er arr[0] = 0.
Trin 2 : Divider 10 med 2. Nyt tal er 10/2 = 5.
Trin 3 : Resten, når 5 divideres med 2, er 1. Derfor er arr[1] = 1.
Trin 4 : Divider 5 med 2. Nyt tal er 5/2 = 2.
Trin 5 : Resten, når 2 divideres med 2, er nul. Derfor er arr[2] = 0.
Trin 6 : Divider 2 med 2. Nyt tal er 2/2 = 1.
Trin 7 : Resten, når 1 divideres med 2, er 1. Derfor er arr[3] = 1.
Trin 8 : Divider 1 med 2. Nyt tal er 1/2 = 0.
Trin 9 : Da tal bliver = 0. Udskriv arrayet i omvendt rækkefølge. Derfor er det tilsvarende binære tal 1010.
Nedenstående diagram viser et eksempel på konvertering af decimaltallet 17 til et tilsvarende binært tal.
Nedenfor er implementeringen af ovenstående idé.
C++ // C++ program to convert a decimal // number to binary number #include using namespace std; // function to convert decimal to binary void decToBinary(int n) { // array to store binary number int binaryNum[32]; // counter for binary array int i = 0; while (n>0) { // lagring af rest i binært array binærtNum[i] = n % 2; n = n/2; i++; } // udskrivning af binært array i omvendt rækkefølge for (int j = i - 1; j>= 0; j--) cout<< binaryNum[j]; } // Driver program to test above function int main() { int n = 17; decToBinary(n); return 0; }> C // C Code to convert Decimal number into Binary #include void decToBinary(int n) { // array to store binary number int binaryNum[32]; // counter for binary array int i = 0; while (n>0) { // lagring af rest i binært array binærtNum[i] = n % 2; n = n/2; i++; } // udskrivning af binært array i omvendt rækkefølge for (int j = i - 1; j>= 0; j--) printf('%d', binærtNum[j]); } // Driverprogram til at teste ovenstående funktion int main() { int n = 17; decToBinær(n); retur 0; }> Java // Java program to convert a decimal // number to binary number import java.io.*; class GFG { // function to convert decimal to binary static void decToBinary(int n) { // array to store binary number int[] binaryNum = new int[32]; // counter for binary array int i = 0; while (n>0) { // lagring af rest i binært array binærtNum[i] = n % 2; n = n/2; i++; } // udskrivning af binært array i omvendt rækkefølge for (int j = i - 1; j>= 0; j--) System.out.print(binærtNum[j]); } // driverprogram public static void main(String[] args) { int n = 17; decToBinær(n); } } // Bidraget af Pramod Kumar> C# // C# program to convert a decimal // number to binary number using System; public class GFG { // function to convert decimal // to binary static void decToBinary(int n) { // array to store binary number int[] binaryNum = new int[32]; // counter for binary array int i = 0; while (n>0) { // lagring af rest i // binært array binærtNum[i] = n % 2; n = n/2; i++; } // udskrivning af binært array // i omvendt rækkefølge for (int j = i - 1; j>= 0; j--) Console.Write(binaryNum[j]); } // Driver Code public static void Main() { int n = 17; decToBinær(n); } } // Denne kode er bidraget af Sam007.> Javascript >
PHP // PHP program to convert a decimal // number to binary number // function to convert // decimal to binary function decToBinary($n) { // array to store // binary number $binaryNum; // counter for binary array $i = 0; while ($n>0) { // lagring af rest // i binært array $binaryNum[$i] = $n % 2; $n = (int)($n / 2); $i++; } // udskrivning af binært array // i omvendt rækkefølge for ($j = $i - 1; $j>= 0; $j--) echo $binaryNum[$j]; } // Driverkode $n = 17; decToBinary($n); // Denne kode er bidraget af m_kit ?>> Python3 # Python3 program to convert a # decimal number to binary number # function to convert # decimal to binary def decToBinary(n): # array to store # binary number binaryNum = [0] * n # counter for binary array i = 0; while (n>0): # lagrer resten # i binært array binærtNum[i] = n % 2 n = int(n / 2) i += 1 # udskriver binært array # i omvendt rækkefølge for j i område(i - 1, -1, -1): print(binaryNum[j], end = '') # Driverkode n = 17 decToBinary(n) # Denne kode er bidraget af mits>
Produktion
10001>
Tidskompleksitet: O(logn) & Hjælpeplads: O(1)
Vi kan bruge bitvise operatorer til at udføre ovenstående job. Bemærk, at bitvise operatorer virker hurtigere end aritmetiske operatorer brugt ovenfor.
C++ // CPP program to Decimal to binary conversion // using bitwise operator // Size of an integer is assumed to be 32 bits #include using namespace std; // Function that convert Decimal to binary void decToBinary(int n) { // Size of an integer is assumed to be 32 bits for (int i = 31; i>= 0; i--) { int k = n>> i; hvis (k & 1) cout<< '1'; else cout << '0'; } } // driver code int main() { int n = 32; decToBinary(n); }> C // C language to convert Decimal to binary number // using bitwise operator // Size of an integer is assumed to be 32 bits #include // Function that convert Decimal to binary int decToBinary(int n) { // Size of an integer is assumed to be 32 bits for (int i = 31; i>= 0; i--) { int k = n>> i; // højreskift if (k & 1) // hjælper os med at kende tilstanden af første bit printf('1'); andet printf('0'); } } // driverkode int main() { int n = 32; decToBinær(n); }> Java // Java program to Decimal to binary conversion // using bitwise operator // Size of an integer is assumed to be 32 bits class gfg { // Function that convert Decimal to binary public void decToBinary(int n) { // Size of an integer is assumed to be 32 bits for (int i = 31; i>= 0; i--) { int k = n>> i; if ((k & 1)> 0) System.out.print('1'); andet System.out.print('0'); } } } class geek { // driver code public static void main(String[] args) { gfg g = new gfg(); int n = 32; g.decToBinary(n); } } // Denne kode er bidraget af mits> C# // C# program to Decimal to binary conversion // using bitwise operator // Size of an integer is assumed to be 32 bits using System; class gfg { // Function that convert Decimal to binary public void decToBinary(int n) { // Size of an integer is assumed to be 32 bits for (int i = 31; i>= 0; i--) { int k = n>> i; if ((k & 1)> 0) Console.Write('1'); else Console.Write('0'); } } } class geek { // driver code public static int Main() { gfg g = new gfg(); int n = 32; g.decToBinary(n); retur 0; } }> Javascript >
PHP // PHP program to Decimal to binary conversion // using bitwise operator // Size of an integer is assumed // to be 32 bits // Function that convert Decimal to binary function decToBinary($n) { // Size of an integer is // assumed to be 32 bits for ( $i = 31; $i>= 0; $i--) { $k = $n>> $i; if ($k & 1) ekko '1'; andet ekko '0'; } } // Driverkode $n = 32; decToBinary($n); // Denne kode er bidraget af aj_36 ?>> Python3 # Python3 program to Decimal # to binary conversion using # bitwise operator # Size of an integer is # assumed to be 32 bits # Function that convert # Decimal to binary def decToBinary(n): # Size of an integer is # assumed to be 32 bits for i in range(31, -1, -1): k = n>> i if (k & 1): print('1', end='') else: print('0', end='') # Driverkode n = 32 decToBinary(n ) # Denne kode er bidraget af mits> Produktion
00000000000000000000000000100000>
Tidskompleksitet: O(1)
loop iterates konstant(32) antal gange hver gang selv for et lille antal
Hjælpeplads: O(1)
Effektiv tilgang
Det er en anden effektiv tilgang til at konvertere decimal til binær ved hjælp af den rigtige shift(>>) og And(&) operator. Her bruger vi kun binære operatører, som normalt er meget hurtige i beregningen.
C++ #include using namespace std; string DecimalToBinary(int num) { string str; while(num){ if(num & 1) // 1 str+='1'; else // 0 str+='0'; num>>=1; // Højre Skift med 1 } return str; } void reverse(string str) { for(int i=str.size()-1 ; i>=0 ; i--) cout<< str[i]; } int main() { int num = 59; cout<< 'Binary of num 59 is: '; reverse( DecimalToBinary(num) ); return 0; }> Java // Java program to implement the // above approach import java.io.*; class GFG { // the converts decimal to binary base static String DecimalToBinary(int num) { String str = ''; while (num>0) { if ((antal & 1) == 1) // 1 str += '1'; andet // 0 str += '0'; antal>>= 1; // Højre Skift med 1 } return str; } // reverse the string static void reverse(String str) { for (int i = str.length() - 1; i>= 0; i--) System.out.print(str.charAt(i)); } public static void main(String[] args) { int num = 59; System.out.print('Binær af nummer 59 er: '); reverse(DecimalToBinary(antal)); } } // Denne kode er bidraget af phasing17> C# // C# program to implement the // above approach using System; public class GFG { // this converts decimal to binary base public static string DecimalToBinary(int num) { string str = ''; while (num>0) { if ((antal & 1) == 1) // 1 str += '1'; andet // 0 str += '0'; antal>>= 1; // Højre Skift med 1 } return str; } // reverse the string public static void reverse(String str) { for (int i = str.Length - 1; i>= 0; i--) Console.Write(str[i]); } // Driver Code public static void Main(string[] args) { int num = 59; Console.Write('Binær af nummer 59 er: '); reverse(DecimalToBinary(antal)); } } // denne kode blev bidraget af phasing17> Javascript >
Python3 # Python3 program to implement the above approach # function to convert the decimal number # to binary number def DecimalToBinary(num): strs = '' while num: # if (num & 1) = 1 if (num & 1): strs += '1' # if (num & 1) = 0 else: strs += '0' # right shift by 1 num>>= 1 returner strs # funktion for at vende strengen def reverse(strs): print(strs[::-1]) # Driver Kode num = 59 print('Binær af num 59 er:', end=' ') reverse(DecimalToBinary(num)) # Denne kode er bidraget af phasing17> Produktion
Binary of num 59 is: 111011>
Tidskompleksitet: O(log n) & Hjælpeplads: O(1)
Decimal til binær konvertering kan også udføres uden brug af arrays.
C++ // C++ implementation of the approach #include #include using namespace std; #define ull unsigned long long int // Function to return the binary // equivalent of decimal value N int decimalToBinary(int N) { // To store the binary number ull B_Number = 0; int cnt = 0; while (N != 0) { int rem = N % 2; ull c = pow(10, cnt); B_Number += rem * c; N /= 2; // Count used to store exponent value cnt++; } return B_Number; } // Driver code int main() { int N = 17; cout << decimalToBinary(N); return 0; } // This code is contributed by Sania Kumari Gupta (kriSania804)> C // C implementation of the approach #include #include #define ull unsigned long long int // Function to return the binary // equivalent of decimal value N int decimalToBinary(int N) { // To store the binary number ull B_Number = 0; int cnt = 0; while (N != 0) { int rem = N % 2; ull c = pow(10, cnt); B_Number += rem * c; N /= 2; // Count used to store exponent value cnt++; } return B_Number; } // Driver code int main() { int N = 17; printf('%u', decimalToBinary(N)); return 0; } // This code is contributed by Sania Kumari Gupta (kriSania804)> Java // Java implementation of the approach import java.io.*; class GFG { // Function to return the binary // equivalent of decimal value N static int decimalToBinary(int N) { // To store the binary number int B_Number = 0; int cnt = 0; while (N != 0) { int rem = N % 2; double c = Math.pow(10, cnt); B_Number += rem * c; N /= 2; // Count used to store exponent value cnt++; } return B_Number; } // Driver code public static void main (String[] args) { int N = 17; System.out.println (decimalToBinary(N)); } } // This code is contributed by ajit.> C# // C# implementation of the approach using System; class GFG { // Function to return the binary // equivalent of decimal value N static int decimalToBinary(int N) { // To store the binary number int B_Number = 0; int cnt = 0; while (N != 0) { int rem = N % 2; int c = (int)Math.Pow(10, cnt); B_Number += rem * c; N /= 2; // Count used to store exponent value cnt++; } return B_Number; } // Driver code static public void Main () { int N = 17; Console.Write(decimalToBinary(N)); } } // This code is contributed by Tushil.> Javascript >
Python3 # Python3 implementation of the approach # Function to return the binary # equivalent of decimal value N def decimalToBinary(N): # To store the binary number B_Number = 0 cnt = 0 while (N != 0): rem = N % 2 c = pow(10, cnt) B_Number += rem * c N //= 2 # Count used to store exponent value cnt += 1 return B_Number # Driver code N = 17 print(decimalToBinary(N)) # This code is contributed by # SHUBHAMSINGH10>
Produktion
10001>
Tidskompleksitet: O(logn) & Hjælpeplads: O(1)
Bemærk, at denne metode ligner den, hvor vi konverterer binær til decimal som diskuteret i dette stolpe .
Der er endnu en metode, der konverterer ethvert decimaltal til dets binære form. Ideen er at bruge bitsæt .
Nedenfor er implementeringen af ovenstående tilgang.
C++ //C++ program to convert a decimal number //to its binary form. //including header file #include using namespace std; //Function to convert a decimal number //to its binary form string decimalToBinary(int n) { //finding the binary form of the number and //converting it to string. string s = bitset<64>(n).til_streng(); //Find den første forekomst af '1' //for at fjerne de foranstillede nuller. const auto loc1 = s.find('1'); if(loc1 != streng::npos) returner s.substr(loc1); returner '0'; } //Driverkode int main() { int n = 17; //Funktionskald cout<< decimalToBinary(n); return 0; } //This code is contributed by yashbeersingh42> Java // Java program to convert a decimal number to its binary // form import java.util.*; class DecimalToBinary { // Function to convert a decimal number to its binary // form public static String decimalToBinary(int n) { // Finding the binary form of the number and // converting it to a string String s = Integer.toBinaryString(n); // Finding the first occurrence of '1' to strip off // the leading zeroes int loc1 = s.indexOf('1'); if (loc1 != -1) { return s.substring(loc1); } return '0'; } // Driver code public static void main(String[] args) { int n = 17; // Function call System.out.println(decimalToBinary(n)); } } // This code is contributed by phasing17> C# // C# program to convert a decimal number // to its binary form. using System; class HelloWorld { // Function to convert a decimal number // to its binary form public static String decimalToBinary(int n) { // finding the binary form of the number and //converting it to string. String s = Convert.ToString(n, 2); return s; } static void Main() { int n = 17; //Function call Console.WriteLine(decimalToBinary(n)); } } // The code is contributed by Nidhi goel.> Javascript // Javascript program to convert a decimal number // to its binary form. // Function to convert a decimal number // to its binary form function decimalToBinary( n) { // finding the binary form of the number and // converting it to string. const s = n.toString(2); return s; } // Driver Code let n = 17; // Function call console.log(decimalToBinary(n)); // This code is contributed by imruhrbf8.> Python3 # Python program to convert a decimal number # to its binary form. # Function to convert a decimal number # to its binary form def decimalToBinary( n): # finding the binary form of the number and # converting it to string. s = bin(n)[2:] # Finding the first occurrence of '1' # to strip off the leading zeroes. # const auto loc1 = s.find('1') loc1 = s[s.index('1'):] return loc1 return '0' # Driver Code n = 17 # Function call print(decimalToBinary(n))> Produktion
10001>
Tidskompleksitet: O(logn) & Hjælpeplads: O(1)
En anden tilgang
C++ // C++ program to convert Decimal to Binary Number #include using namespace std; int main() { // input number int number = 15; int n = (int)(log2(number)); // binary output // using the inbuilt function cout << 'the binary number is : ' << bitset<64>(nummer).to_string().substr(64 - n - 1); } // Denne kode er skrevet af phasing17> Java //To convert Decimal to Binary Number// import java.util.*; public class Main{ public static void main(String [] args){ //input// int number =15; //output// System.out.println('the binary number is : '+ Integer.toString(number,2)); //This code is written by ZEESHAN AHMAD// } }> C# // To convert Decimal to Binary Number// using System; class GFG{ public static void Main(){ // input// int number =15; //output// Console.WriteLine('the binary number is : '+ Convert.ToString(number, 2)); } } // This code is contributed by code_hunt.> Javascript // JavaScript program to convert Decimal to Binary Number // input number var number = 15; // binary output // using the inbuilt function console.log('the binary number is :', number.toString(2)); // This code is written by phasing17> Python3 # Python3 program to convert Decimal to Binary Number # input number number = 15 # binary output # using the inbuilt function print('the binary number is :', bin(number)[2::]) # This code is written by phasing17> Produktion
the binary number is : 1111>