Question

3. a) For the Boolean expression given below, prove using i. Boolean rules and theorems (Mention the rules used for each step) ii. Truth-table method (7 Marks) (8 Marks) $B + BCD + \bar{B}CD + AB + \bar{A}B + \bar{B}C = B + C$ b) Realize the Boolean expression given above using Basic Logic gates and justify the need for simplifying this Boolean expression. (10 Marks)

          3.
a) For the Boolean expression given below, prove using
i. Boolean rules and theorems (Mention the rules used for each step)
ii. Truth-table method
(7 Marks)
(8 Marks)
$B + BCD + \bar{B}CD + AB + \bar{A}B + \bar{B}C = B + C$
b) Realize the Boolean expression given above using Basic Logic gates and justify the need for
simplifying this Boolean expression.
(10 Marks)

3.
a) For the Boolean expression given below, prove using
i. Boolean rules and theorems (Mention the rules used for each step)
ii. Truth-table method
(7 Marks)
(8 Marks)
B + BCD + B̅CD + AB + A̅B + B̅C = B + C
b) Realize the Boolean expression given above using Basic Logic gates and justify the need for
simplifying this Boolean expression.
(10 Marks)

Added by Denise G.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Kevin Corkran-Itagaki

Step 1

b) To realize the Boolean expression using basic logic gates, we can use the following steps: Step 1: Start with the inputs B, C, and D. Step 2: Connect B to an OR gate with inputs B, BCD, AB, and BC. Step 3: Connect the output of the OR gate to the output Show more…

Show all steps

Thanks for your feedback!

a) For the Boolean expression given below, prove using Boolean rules and theorems (Mention the rules used for each step) Truth-table method B + BCD + BCD + AB + AB + BC = B + C Marks) (8 Marks) b) Realize the Boolean expression given above using Basic Logic gates and justify the need for simplifying this Boolean expression: (10 Marks)