Algorithm
Binary to Decimal Conversion
1. Start
2. Initialize variables: binary_num, decimal_num = 0, base = 1, remainder
3. Read binary_num from the user
4. Repeat the following steps until binary_num > 0: a. Set remainder = binary_num % 10 b. Set decimal_num = decimal_num + remainder * base c. Set binary_num = binary_num / 10 d. Set base = base * 2
5. Display decimal_num as the result
6. End
Decimal to Binary Conversion
1. Start
2. Initialize variables: decimal_num, binary_num = 0, base = 1, remainder
3. Read decimal_num from the user
4. Repeat the following steps until decimal_num > 0: a. Set remainder = decimal_num % 2 b. Set binary_num = binary_num + remainder * base c. Set decimal_num = decimal_num / 2 d. Set base = base * 10
5. Display binary_num as the result
6. End
These algorithms assume that binary_num and decimal_num are variables representing the binary and decimal numbers, respectively. The algorithms use a loop to process each digit of the binary or decimal number and update the result accordingly.
Code Examples
#1 Code Example-C Programing to Convert Binary Number to Decimal
Code -
C Programming
// convert binary to decimal
#include <stdio.h>
#include <math.h>
// function prototype
int convert(long long);
int main() {
long long n;
printf("Enter a binary number: ");
scanf("%lld", &n);
printf("%lld in binary = %d in decimal", n, convert(n));
return 0;
}
// function definition
int convert(long long n) {
int dec = 0, i = 0, rem;
while (n != 0) {
// get remainder of n divided by 10
rem = n % 10;
// divide n by 10
n /= 10;
// multiply rem by (2 ^ i)
// add the product to dec
dec += rem * pow(2, i);
// increment i
++i;
}
return dec;
}Output
1101 in binary = 13 in decimal
#2 Code Example-C Program to convert decimal number to binary
Code -
C Programming
// convert decimal to binary
#include <stdio.h>
#include <math.h>
// function prototype
long long convert(int);
int main() {
int n;
long long bin;
printf("Enter a decimal number: ");
scanf("%d", &n);
// convert to binary using the convert() function
bin = convert(n);
printf("%d in decimal = %lld in binary", n, bin);
return 0;
}
// function to convert decimal to binary
long long convert(int n) {
// variable to store the result
long long bin = 0;
int rem, i = 1;
// loop to convert to binary
while (n != 0) {
// get remainder of n divided by 2
rem = n % 2;
// divide n by 2
n /= 2;
// multiply remainder by i
// add the product to bin
bin += rem * i;
// multiply i by 10
i *= 10;
}
return bin;
}Output
1101 in binary = 13 in decimal
Demonstration
C Programing Example to Convert Binary Number to Decimal and vice-versa-DevsEnv