C Program to Calculate all possible Combinations of an n Digit Number
Generally a question is asked that if you have given n bits then print out all the possible binary numbers of n bit and so I will try to explain how to get that done. Please don't Copy Paste. Understand The logic because it is useful in other problems as well
for eg
if n=1 then you can have
0
1
if n=2 then you can have
00
10
01
11
Similarly if n=3 then you can have 8 possible combination.
In general for a n bit number you can have 2 to the power n possible numbers.
for eg
if n=1 then you can have
0
1
if n=2 then you can have
00
10
01
11
Similarly if n=3 then you can have 8 possible combination.
In general for a n bit number you can have 2 to the power n possible numbers.
Code:
#include <stdio.h> #define ARRAY_SIZE 200 /* FUNCTIONS DECLARATIONS */ void find_all_possible_binary(int ,int ); void push(int ); void pop(); /****************************************************************************** * SIMPLE LIFO STACK .YOU CAN ADJUST ARRAY_SIZE ACCORDING TO YOUR SYSTEM MEMORY replace pf with printf */ int stack[ARRAY_SIZE]; int top; void push(int x){ stack[++top]=x; } void pop(){ stack[top--]; } /******************************************************************************/ void find_all_possible_binary(int x,int temp) { int i; if(temp!=-1){ push(temp); } if(x==0){ for( i=0;i<=top;++i) pf("%d",stack[i]); pf("\n"); pop(); } else{ find_all_possible_binary(x-1,0); find_all_possible_binary(x-1,1); pop(); } } int main(){ int no_of_bits; top=-1; pf("Enter number of bits: "); scanf("%d",&no_of_bits); find_all_possible_binary(no_of_bits,-1); }
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