Let n be a number
n &1 = 0000000d where d is the LSB of n
So,
If LSB ==1
It's odd number
Else
Even no

To understand the concept of "LSB" & bitwise operators please read: Bitwise Operators and their working with Examples in C

Example:

Let n be 7 //00000111
n & 1 = 1
00000111(7) & 00000001(1) =00000001 (1)
Thus it's an odd number
Let n be 6 //00000110
N&1=0
00000110(6) & 00000001(1) =00000000 (0)
Thus it's an even number

C implementation

#include <stdio.h>
int main()
{
int n;
printf("enter no: ");
scanf("%d",&n);
//n&1 actually results in 0000000d where d is your LSB
if(n&1==1)
printf("it's odd no");//for odd no LSB 1
else
printf("it's even no");//for even no LSB 0
return 0;
}

Output

First run:
enter no: 7
it's odd no
Second run:
enter no: 6
it's even no

To understand the concept of "LSB" & bitwise operators please read: Bitwise Operators and their working with Examples in C

Example:C implementation

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