Basic algebra formulas that you can revise anytime and anywhere

FORMULAS FOR BEGINNER (a+b) ^2= a^2+b^2+2ab (a+b) ^2= (a-b) ^2+4ab (a-b) ^2= a^2+b^2-2ab (a-b) ^2= (a+b) ^2-4ab a^2+b^2= (a+b) ^2-2ab a^2+b^2= (a-b) ^2+ 2ab a^2-b^2= (a+b) (a-b) (a+b+c) ^2= a^2+b^2+c^2+2(ab+bc+ac) (a-b-c) ^2= a^2+b^2+c^2-2(ab-bc+ac) (a+b) ^3= a^3+b^3+3ab(a+b) (a-b) ^3= a^3-b^3+3ab(a-b) a^3+b^3= (a+b) (a^2-ab+b^2) a^3-b^3= (a-b) (a^2+ab+b^2) a^4-b^4= (a^2-b^2) (a^2+b^2) = (a^2+b^2) (a+b) (a-b) a^5+b^5= (a+b) (a^4-a^3b+a^2b^2-ab^3+b^4) a^5-b^5= (a-b) (a^4+a^3b+a^2b^2+ab^3+b^4)

Conversion related codes






Decimal to binary bitwise

#include < stdio.h >
int main()
{
int n, c, k;
printf("Enter an integer in decimal number system\n");
scanf("%d", &n);
printf("%d in binary number system is:\n", n);
for (c = 31; c >= 0; c--)
{
k = n >> c;
if (k & 1)//k is logically ANDed with 1
printf("1");
else
printf("0");
}
return 0;
}


Decimal to Binary

#include < stdio.h>
void main()
{
long num, decimal_num, remainder, base = 1, binary = 0;
printf("Enter a decimal integer \n");
scanf("%ld", & num);
decimal_num = num;
while (num > 0)
{
remainder = num % 2;
binary = binary + remainder * base;
num = num / 2;
base = base * 10;
}
printf("Input number is = %d\n", decimal_num);
printf("Its binary equivalent is = %ld\n", binary);
}


Decimal to Octal

#include
void main()
{
long num, decimal_num, remainder, base = 1, octal = 0;
printf("Enter a decimal integer \n");
scanf("%ld", & num);
decimal_num = num;
while (num > 0)
{
remainder = num % 8;
octal = octal + remainder * base;
num = num / 8;
base = base * 10;
}
printf("Input number is = %d\n", decimal_num);
printf("Its octal equivalent is = %ld\n", Octal);
}


Binary to Decimal

#include < stdio.h >
void main()
{
int num, binary_val, decimal_val = 0, base = 1, rem;
printf("Enter a binary number(1s and 0s) \n");
scanf("%d", & num);
binary_val = num;
while (num > 0)
{
rem = num % 10;
decimal_val = decimal_val + rem * base;
num = num / 10 ;
base = base * 2;
}
printf("The Binary number is = %d \n", binary_val);
printf("Its decimal equivalent is = %d \n", decimal_val);
}


Binary to Octal

#include < stdio.h>
int main()
{
long int binarynum, octalnum = 0, j = 1, remainder;
printf("Enter the value for binary number: ");
scanf("%ld", &binarynum);
while (binarynum != 0)
{
remainder = binarynum % 10;
octalnum = octalnum + remainder * j;
j = j * 2;
binarynum = binarynum / 10;
}
printf("Equivalent octal value: %lo", octalnum);
return 0;
}


Binary to Hexadecimal

#include < stdio.h>
int main()
{
long int binaryval, hexadecimalval = 0, i = 1, remainder;
printf("Enter the binary number: ");
scanf("%ld", &binaryval);
while (binaryval != 0)
{
remainder = binaryval % 10;
hexadecimalval = hexadecimalval + remainder * i;
i = i * 2;
binaryval = binaryval / 10;
}
printf("Equivalent hexadecimal value: %lX", hexadecimalval);
return 0;
}


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