Discussion
Let f be a Boolean expression in 8 variables which has true value exactly for 4 combinations out of 28 possible combinations. Then f can be expressed as sum of .......... min terms.
Answer: D
f is a sum of 4 minterms.
A minterm is a product of all 8 variables (each plain or complemented) that is 1 for exactly one combination of inputs. The canonical sum-of-products form of a function has one minterm for each input combination on which the function is true.
Since f is true for exactly 4 of the \(2^{8} = 256\) combinations, its canonical form is the sum of exactly 4 minterms. Numbers like 6, 8 or 10 would make it true for more combinations than stated.
No comment is present. Be the first to comment.
Loading…
Post your comment
Please log in or register to post a comment.
Examination Categories
- SSC Exams
- Banking Exams
- Teaching Exams
- Civil Services Exams
- Railways Exams
- Engineering Recruitment Exams
- Defence Exams
- State Government Exams
- Police Exams
- Insurance Exams
- Nursing Exams
- Other Government Exams
- NRA CET
- PG Entrance Exams
- Campus Placement
- MBA Entrance Exams
- CUET and UG Entrance
- Judiciary Exams
- Regulatory Body Exams
- Software Development