Question

Write a logical expression for the requirements under the following conditions.a. The applicant must present either a birth certificate, a drivers license or a marriage license.b. The applicant must present any two of the following forms of identification: birth certificate, drivers license, marriage license.c. Applicant must present either a birth certificate or both a drivers license and a marriage license

Answer 1

Answer:

a)

$B\vee D\vee M$

b)

$(B\wedge D)\vee (D\wedge M)\vee (B\wedge M)$

c)

$M\wedge (B\vee D)$

Step-by-step explanation:

We are given the following in the question:

B:  The applicant must present a birth certificate.

D: The applicant must present a drivers license.

M: The applicant must present a marriage license.

We have to express scenarios in logical expression.

• A logical expression is an expression which may be true or false.

• It can be expressed with the help of operators

$\vee: \text{True if either side is true}\\\wedge: \text{True if both sides are true}$

a) The applicant must present either a birth certificate, a drivers license or a marriage license.

$B\vee D\vee M$

b) The applicant must present any two of the following forms of identification: birth certificate, drivers license, marriage license.

$(B\wedge D)\vee (D\wedge M)\vee (B\wedge M)$

c) Applicant must present either a birth certificate or both a drivers license and a marriage license

$M\wedge (B\vee D)$