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The converse of the conditional is obtained by interchanging the hypothesis and the conclusion. If p represents the hypothesis and q represents the conclusion, then converse of the statement 鈥淚f p, then q鈥� will be 鈥淚f q, then p鈥�.

In order to find a false conditional, consider a statement that is not true.

Let "A number is divisible by 2, then it is divisible by 8鈥�.

Consider the number 10

It is divisible by 2 but not by 8

Therefore, the statement is false

Consider p is "a number is divisible by 2鈥� and q is "it is divisible by 8鈥�

The converse is of the form "if p, then p鈥�

Therefore, the converse of the given statement is- 鈥淚f a number is divisible by 8, then it is divisible by 2.鈥�

Also, every number which is divisible by 8 is also divisible by 2. Therefore, the converse of the given statement is true.

Therefore, a false conditional whose converse is true is 鈥淎 number is divisible by 2, then it is divisible by 8.鈥�