C program to convert decimal to octal number

  Decimal to octal conversion

In this section, we can convert any decimal number(base 10) into octal number(base 8) by c program and with example.

Example: Program to convert Decimal to Octal

#include <stdio.h>

// function to calculate the octal value of the given

void decimaltoOctal(int deciNum)

{

int octalNum = 0, countval = 1;

int dNo = deciNum;

while (deciNum != 0) {

// decimals remainder is calculated

int remainder = deciNum % 8;

// storing the octalvalue

octalNum += remainder * countval;

// storing exponential value

countval = countval * 10;

deciNum /= 8;

}

printf("%d", octalNum);

}

// Driver Code

int main()

{

int n = 33;

// Function Call

decimaltoOctal(n);

return 0;

}

Output :    41      

PRACTICE PROBLEMS BASED ON DECIMAL TO OCTAL CONVERSION-

Convert the following numbers from base 10 to base 8-

1. (1032)₁₀
2. (1032.6875)₁₀

 

Solution-

 

1. (1032)₁₀

 

(1032)₁₀ → (?)₈

 

Using division method, we have-

 

 

From here, (1032)₁₀ = (2010)₈

 

2. (1032.6875)₁₀

 

(1032.6875)₁₀ → ( ? )₈

 

Here, we treat the real part and fractional part separately-

 

For Real Part-

 

• The real part is (1032)₁₀
• We convert the real part from base 10 to base 8 using division method same as above.

So, (1032)₁₀ = (2010)₈

 

For Fractional Part-

 

• The fractional part is (0.6875)₁₀
• We convert the fractional part from base 10 to base 8 using multiplication method.

 

Using multiplication method, we have-

 

Explanation   Step-01:   Multiply 0.6875 with 8. Result = 5.5. Write 5 in real part and 0.5 in fractional part.   Step-02:   Multiply 0.5 with 8. Result = 4.0. Write 4 in real part and 0.0 in fractional part.   Since fractional part becomes 0, so we stop.

 

• The fractional part terminates to 0 after 2 iterations.
• Traverse the real part column from top to bottom to obtain the required number in base 8.

 

From here, (0.6875)₁₀ = (0.54)₈

 

Combining the result of real and fractional parts, we have-

(1032.6875)₁₀ = (2010.54)₈