Computer Science Engineering (CSE) Exam  >  Computer Science Engineering (CSE) Questions  >  The minimum number of D flip-flops needed to ... Start Learning for Free
The minimum number of D flip-flops needed to design a mod-258 counter is
  • a)
    9
  • b)
    8
  • c)
    512
  • d)
    258
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
The minimum number of D flip-flops needed to design a mod-258 counter ...

View all questions of this test
Most Upvoted Answer
The minimum number of D flip-flops needed to design a mod-258 counter ...
Minimum number of D flip-flops needed to design a mod-258 counter

To design a mod-258 counter, we need to have a counter that can count from 0 to 257 (since it is a mod counter). The minimum number of D flip-flops required is determined by the number of bits needed to represent the maximum count value.

Binary representation of 257
To determine the number of bits required to represent 257, we convert it into binary form:
257 = 2^8 + 1 = 100000001 (9 bits)

Explanation
A D flip-flop is a sequential circuit that can store one bit of data. It has two inputs - a data input (D) and a clock input (CLK), and one output (Q). When the clock input transitions from low to high (rising edge), the output takes the value of the data input.

In a counter, each flip-flop represents one bit of the count value. The output of each flip-flop is connected to the data input of the next flip-flop in the sequence, and the clock input is connected to a clock signal.

Since we need to count up to 257, we need a counter with 9 bits. Each bit represents a power of 2. The least significant bit represents 2^0, the next bit represents 2^1, and so on.

Number of flip-flops
To represent a 9-bit count value, we need 9 D flip-flops. Each flip-flop represents one bit of the count value.

Therefore, the minimum number of D flip-flops needed to design a mod-258 counter is 9 (option A).

Conclusion
In summary, the minimum number of D flip-flops required to design a mod-258 counter is 9. This is determined by the number of bits needed to represent the maximum count value, which in this case is 257. Each flip-flop represents one bit of the count value, and therefore, 9 flip-flops are required to accommodate the 9-bit count value.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Question Description
The minimum number of D flip-flops needed to design a mod-258 counter isa)9b)8c)512d)258Correct answer is option 'A'. Can you explain this answer? for Computer Science Engineering (CSE) 2025 is part of Computer Science Engineering (CSE) preparation. The Question and answers have been prepared according to the Computer Science Engineering (CSE) exam syllabus. Information about The minimum number of D flip-flops needed to design a mod-258 counter isa)9b)8c)512d)258Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Computer Science Engineering (CSE) 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The minimum number of D flip-flops needed to design a mod-258 counter isa)9b)8c)512d)258Correct answer is option 'A'. Can you explain this answer?.
Solutions for The minimum number of D flip-flops needed to design a mod-258 counter isa)9b)8c)512d)258Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for Computer Science Engineering (CSE). Download more important topics, notes, lectures and mock test series for Computer Science Engineering (CSE) Exam by signing up for free.
Here you can find the meaning of The minimum number of D flip-flops needed to design a mod-258 counter isa)9b)8c)512d)258Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of The minimum number of D flip-flops needed to design a mod-258 counter isa)9b)8c)512d)258Correct answer is option 'A'. Can you explain this answer?, a detailed solution for The minimum number of D flip-flops needed to design a mod-258 counter isa)9b)8c)512d)258Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of The minimum number of D flip-flops needed to design a mod-258 counter isa)9b)8c)512d)258Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice The minimum number of D flip-flops needed to design a mod-258 counter isa)9b)8c)512d)258Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice Computer Science Engineering (CSE) tests.
Explore Courses for Computer Science Engineering (CSE) exam

Top Courses for Computer Science Engineering (CSE)

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev