## How do you check if a number is divisible by 5 in C++?

Table of Contents

C++ Program to Check If a Number is Divisible by 5 and 11

- if ((num % 5 == 0) && (num % 11 == 0)){
- cout << num << ” is divisible by 5 and 11.”;
- cout << num << ” is not divisible by 5 and 11.”;

## How do you know if a binary number is divisible by 5?

For each digit you multiply the number in your head by 2 and add the digit you just read. If the number goes to five or above you subtract five. If you end up with 0 the number is divisible by 5.

**How many states required for DFA which accepts set of all strings are divisible by 5 for binary alphabet 0 1?**

So, 5 states for 5 remainder values. After processing a string ω if end-state becomes q0 that means decimal equivalent of input string is divisible by 5.

### How do you check divisibility by 5 in Python?

In Python, the remainder operator (“%”) is used to check the divisibility of a number with 5. If the number%5 == 0, then it will be divisible.

### How do you check if a number is divisible by 5 in Java?

Java Program to Check Whether Given Number is Divisible by 5

- import java.util.Scanner;
- public class Check_Divisiblity.
- {
- public static void main(String[] args)
- {
- int n;
- Scanner s = new Scanner(System. in);
- System. out. print(“Enter any number:”);

**What are the remainders for the DFA that accepts binary numbers that is divisible by 4?**

Discussion Forum

Que. | For a DFA accepting binary numbers whose decimal equivalent is divisible by 4, what are all the possible remainders? |
---|---|

b. | 0,2 |

c. | 0,2,4 |

d. | 0,1,2,3 |

Answer:0,1,2,3 |

#### How do you know if a number is divisible by 4 in binary?

We have to find out which of the given binary numbers are divisible by ‘4’ . For this, we divide each of the given numbers by 4 and the number whose remainder is zero will be the one which is divisible by 4. From the above calculations, it is clear that ‘100101100’ is the only binary number which is divisible by 4.

#### How do you know if a binary number is divisible by a binary number?

Efficient Approach : In the binary string, check for last k bits. If the all the last k bits are 0, then the binary number is evenly divisible by 2k else it is not evenly divisible. Time complexity using this approach is O(k).

**How do you find divisibility in binary?**

Basically count the number of non-zero odd positions bits and non-zero even position bits from the right. If their difference is divisible by 3, then the number is divisible by 3. For example: 15 = 1111 which has 2 odd and 2 even non-zero bits.

## How many states are required to design DFA which will accept a binary number divisible by 3?

3 states

We need 3 states for checking if a binary number is divisible by 3 – each state corresponding to remainders 0,1,2. Here, remainder 0 will be the final state for divisibility by 3.

## How do you check divisibility in C?

C supports a modulo operator % , that evaluates remainder on division of two operands. You can use this to check if a number is exactly divisible by some number or not. For example – if(8 % 2) , if the given expression evaluates 0 , then 8 is exactly divisible by 2.

**Which string is divisible by 3 using DFA?**

Construct DFA, which accepts set of all strings over {0, 1} which interpreted as binary number is divisible by 3. Refer for solution: Binary string multiple of 3 using DFA.

### How to design a DFA for a set of 0’S?

Design a DFA for a set of string over alphabet {0,1} such that the number of 0’s is divisible by five, and number of 1’s divisible by 3. At any instance of time, we will have following cases for number of 0’s. Number of 0’s should be divisible by 5. Similarly, there will be three cases for number of 1’s.

### How to design a DFA that accepts binary strings?

If you need to design a DFA that accepts binary strings those decimal equivalent is either divisible by 3 or 5, then draw two separate DFAs for divisible by 3 and 5 then union both DFAs to construct target DFA (for 1 <= n <= 10 your have to union 10 DFAs).

**How to find the remainder of a number in DFA?**

Step-1: When you divide a number ω by n then reminder can be either 0, 1., (n – 2) or (n – 1). If remainder is 0 that means ω is divisible by n otherwise not. So, in my DFA there will be a state q r that would be corresponding to a remainder value r, where 0 <= r <= (n – 1), and total number of states in DFA is n.