CUET PG 2022 — Computer PYQ
CUET PG | Computer | 2022The simplified form of Boolean Expression:
ABC+ABC is ______.
Choose the correct answer:
- A.
AC
- B.
AB
- C.
BC
(Correct Answer) - D.
0
BC
Explanation
1. Diya gaya Expression:
ABC+ABC
2. Common terms ko bahar nikalna (Distributive Law):
Dono terms mein BC common hai, isliye hum BC ko bracket ke bahar le lenge:
BC(A+A)
3. Complement Law ka upyog:
Boolean algebra ke niyam ke anusar, kisi variable aur uske complement ka sum hamesha 1 hota hai:
A+A=1
4. Final Simplification:
Ab is value ko equation mein rakhte hain:
BC⋅(1)
=BC
Explanation
1. Diya gaya Expression:
ABC+ABC
2. Common terms ko bahar nikalna (Distributive Law):
Dono terms mein BC common hai, isliye hum BC ko bracket ke bahar le lenge:
BC(A+A)
3. Complement Law ka upyog:
Boolean algebra ke niyam ke anusar, kisi variable aur uske complement ka sum hamesha 1 hota hai:
A+A=1
4. Final Simplification:
Ab is value ko equation mein rakhte hain:
BC⋅(1)
=BC