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The Boolean expression (
A
+ B) (A + C
) (B
+ C
) simplifies to- a)(A + B)C
- b)(A +B)C
- c)(A+ B)C
- d)none of these
Correct answer is 'C'. Can you explain this answer?
Most Upvoted Answer
The Boolean expression (A + B) (A + C) (B + C) simplifies toa)(A + B) ...
Given,
Period = 4 x Pulse width
Duty cycle is the fraction of time the signal is high (or low) compared to the total time period.
Let's assume the pulse width as 't' and the period as '4t'.
Calculation:
Total time period = Pulse width + Off time
4t = t + Off time
Off time = 3t
Duty cycle = (Pulse width / Total time period) x 100%
= (t / (t + 3t)) x 100%
= (t / 4t) x 100%
= 25%
Therefore, the duty cycle of the waveform is 25%.
Period = 4 x Pulse width
Duty cycle is the fraction of time the signal is high (or low) compared to the total time period.
Let's assume the pulse width as 't' and the period as '4t'.
Calculation:
Total time period = Pulse width + Off time
4t = t + Off time
Off time = 3t
Duty cycle = (Pulse width / Total time period) x 100%
= (t / (t + 3t)) x 100%
= (t / 4t) x 100%
= 25%
Therefore, the duty cycle of the waveform is 25%.
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The Boolean expression (A + B) (A + C) (B + C) simplifies toa)(A + B) ...
(A'+B )(A+C')(B'+C')=(A'+B )(AB'+AC'+ B'C'+C'C')=
(A'+B )(AB'+AC'+ B'C'+C')=(A'+B )(AB'+AC'+ (B'+1)C')=(A'+B )(AB'+AC'+C')=(A'+B )(AB'+(A+1)C')=(A'+B )(AB'+C')=A'AB'+ A'C' +BAB' +BC'=A'C'+BC'=C'(A'+B) ~>Option(c)
(A'+B )(AB'+AC'+ B'C'+C')=(A'+B )(AB'+AC'+ (B'+1)C')=(A'+B )(AB'+AC'+C')=(A'+B )(AB'+(A+1)C')=(A'+B )(AB'+C')=A'AB'+ A'C' +BAB' +BC'=A'C'+BC'=C'(A'+B) ~>Option(c)
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