Armstrong Quantity in C : Examples and Applications

May 5, 2024

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What’s Armstrong Quantity in C?

An Armstrong quantity (also called a narcissistic quantity, plenary quantity, or pluperfect quantity) is a quantity that is the same as the sum of its personal digits every raised to the facility of the variety of digits. For instance, 153 is an Armstrong quantity as a result of:

It’s named after Michael F. Armstrong, who used it for instance in a programming downside in 1969. These numbers are intriguing in arithmetic and programming as a result of they’re comparatively uncommon and sometimes utilized in workouts to check programming expertise.

Armstrong Quantity Instance

If the Armstrong quantity is a optimistic integer of order n then it may be outlined as,

abcde…. = pow (a, n) + pow (b, n) + pow (c, n) + pow (d, n) + pow (e, n) + ………

For instance : 0, 1, 153, 370, 371, 1634 and so on.

Let’s verify whether or not 370 is an Armstrong quantity or not

370 = (3 * 3 * 3) + (7 * 7 * 7) + (0 * 0 * 0)

Right here,    

(3 * 3 * 3) = 27

(7 * 7 * 7) = 343

(0 * 0 * 0) = 0

27 + 343 + 0 = 370, which is the same as the given quantity; therefore it's an Armstrong quantity.

Let’s verify 4 digits Armstrong quantity:

1634 = (1 * 1 * 1 * 1) + (6 * 6 * 6 * 6) + (3 * 3 * 3 * 3) + (4 * 4 * 4 * 4)

Right here, 

(1 * 1 * 1 * 1) = 1

(6 * 6* 6 * 6) = 1296

(3 * 3 * 3 * 3) = 81

(4 * 4 * 4 * 4) = 256

1 + 1296 + 81 + 256 = 1634, which is the same as the given quantity; therefore it's an Armstrong quantity.

Algorithm of Armstrong Quantity in C

Take enter from the consumer
Initialize sum = 0 and take short-term variable to quickly retailer consumer enter (var = num)
Now discover out the overall variety of digits within the given quantity
Whole variety of digits get saved in a
Repeat the loop until var > 0
Retailer the output of whereas loop in sum
Test whether or not the consumer quantity is the same as sum or not
Whether it is equal than print “It’s an Armstrong quantity”
Else print “It isn’t an Armstrong quantity”

Program of Armstrong Quantity in C

#embody <stdio.h>
#embody <conio.h>
 
int principal ()
{
int num, var, rem, sum = 0, a = 0 ;
 
printf ( “ Please enter an integer: “ );  // Taking the consumer enter
scanf ( “%d”, &num );
 
var = num;
 
whereas (var != 0)	// Discovering the numbers of digits in a given quantity
{
var = var / 10;
++a;
}
 
var = num;
 
whereas (var > 0 )  	// Calculate the quantity to verify  it's Armstrong or not
{
rem = var % 10;
sum = sum +  pow( rem, a );
var = var / 10;
}
 
if ( sum == num )	// Test whether or not the sum is the same as the given variety of not
{
printf ( “ %d is an Armstrong quantity n ”, num );
}
else
{
printf ( “ %d just isn't an Armstrong quantity n ”, num );
}
return 0;
}

Output 1:

Please enter an integer: 371

371 is an Armstrong quantity

Output 2:

Please enter an integer: 1045

1045 is an Armstrong quantity

Rationalization

Within the above code, we’ve first declared all of the variables which might be wanted in this system. The num is asserted to carry the consumer enter. The var is used for the short-term storage, after which rem is used to carry the rest that’s required for calculation. Eventually, we’ve the sum and a, that are assigned to zero.

We’re accepting consumer enter after which assigning that quantity to num. Then we assign this quantity to var in order that we are able to make our calculation and hold the consumer enter protected within the num variable.

Now we’re calculating the variety of digits that consumer enter has. For that, we’ve assigned num worth to var, and we’ve taken some time loop. The whereas loop will probably be operating till (var !=0) after which divide var by ten in order that we are able to depend the overall variety of digits in that quantity. Since var is of integer kind, it won’t retailer a decimal quantity, after which every time, the worth of an will increase by 1. This course of is repeated till var is the same as zero. After that, it exits the loop.

Now once more, we assign num worth to var. Then we begin the loop, and this loop will run until var is larger than zero. We now have three steps to carry out contained in the loop. First, we discover the rest of the quantity, after which we calculate the facility of the rest utilizing pow(rem, a), the place rem represents the rest, and a represents the facility, i.e., whole variety of digits in a quantity, which was calculated above. Now we divide the var by 10, and that is executed as a result of we don’t require the final digit of the quantity as a result of we’ve already used it. Since var is an integer kind, it neglects the decimal worth and shops the integer worth. This course of is repeated until var is larger than zero; after that, it exits from the loop, and the ultimate worth is saved in sum.

As soon as the management strikes out of the loop, the if assertion checks whether or not sum is the same as the num or not, the place the num is the enter given by the consumer. If the sum is the same as num, then it’s an Armstrong quantity. Else it’s not an Armstrong quantity.

So, right here is all about “Armstrong Quantity in C.” We hope you discover this implementation informative. Keep tuned for extra upcoming blogs. Take up the Free On-line C Programming for Newcomers Course and study extra such ideas!

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