Class 12th Computer Science paper solutions (Part 2) | Computer Science paper
Solutions of First part Question 2 :
click here for question paper set
Question-2
a) Verify if, P.(P’ + Q’) = (P=>Q) using truth table.
Answer :
| P | Q | P(bar) | Q(bar) | P(bar)+Q(bar) | P[P(bar)+Q(bar)] | P=>Q |
| 0 | 0 | 1 | 1 | 1 | 0 | 0 |
| 0 | 1 | 1 | 0 | 1 | 0 | 0 |
| 1 | 0 | 0 | 1 | 1 | 1 | 1 |
| 1 | 1 | 0 | 0 | 0 | 0 | 0 |
b) What is connective?
Answer :
Connectives are the operators that are used to combine one or more propositions.
or
A logical connective (also called a logical operator) is a logical constant used to connect two or more formulas to make an expression.
c) Give truth table proof for De Morgan’s law.
Answer :
According to De’ Morgans Law
(A.B)(bar) = A(bar)+B(bar)
| A | B | A(bar) | B(Bar) | (A.B)(bar) | A(bar)+B(bar) |
| 0 | 0 | 1 | 1 | 1 | 1 |
| 0 | 1 | 1 | 0 | 1 | 1 |
| 1 | 0 | 0 | 1 | 1 | 1 |
| 1 | 1 | 0 | 0 | 0 | 0 |
d) Prove the complementary law with the help of truth table.
Answer :
Complementary Law is also known as De’ Morgans Law.
| A | B | A(bar) | B(Bar) | (A.B)(bar) | A(bar)+B(bar) |
| 0 | 0 | 1 | 1 | 1 | 1 |
| 0 | 1 | 1 | 0 | 1 | 1 |
| 1 | 0 | 0 | 1 | 1 | 1 |
| 1 | 1 | 0 | 0 | 0 | 0 |
e) Prove x + x’y = x + y using Boolean algebraic method.
Answer :
x + x’y = x + y
(x + x’)x + y = x + y [dempotence Law]
1.x + y = x + y
x + y = x + y
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