Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > A 1-bit full adder takes 15 ns to generate ca...
Start Learning for Free
A 1-bit full adder takes 15 ns to generate carry out bit while 35 ns for the sum bit. If we design a 4-bit adder using cascade connection of four 1-bit full-adder, then the maximum number of additions that can be performed by this 4-bit adder will be:
- a)166 x 105/sec
- b)107/sec
- c)125 x 105/sec
- d)None of these
Correct answer is option 'C'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Verified Answer
A 1-bit full adder takes 15 ns to generate carry out bit while 35 ns f...
Let the binary inputs to be added be (A4 A3 A2 A1) and (B4 B3 B2 B1). A 4-bit adder using cascade connection of four 1-bit full adder is shown below. Here, C represents for carry and Sfor sum.
It is clear from above circuit that each addition requires 80 ns.
Therefore, maximum number of additions that can be performed by this 4-bit adder
= 125 x 105 additions/sec
It is clear from above circuit that each addition requires 80 ns.
Therefore, maximum number of additions that can be performed by this 4-bit adder
= 125 x 105 additions/sec
Most Upvoted Answer
A 1-bit full adder takes 15 ns to generate carry out bit while 35 ns f...
Solution:
Given:
Time taken by 1-bit full adder to generate carry out bit = 15 ns
Time taken by 1-bit full adder to generate sum bit = 35 ns
We need to design a 4-bit adder using cascade connection of four 1-bit full-adder.
To find: Maximum number of additions that can be performed by this 4-bit adder.
Calculation:
The time taken by 1-bit full adder to generate sum bit is more than the time taken to generate carry out bit.
Hence, the overall delay in generating the sum and carry bits in the 4-bit adder will be determined by the time taken to generate the sum bit.
In the 4-bit adder, there will be 4 stages of addition, where each stage will have one 1-bit full adder.
Therefore, the total time taken by the 4-bit adder to generate the sum bit will be:
= time taken by 1-bit full adder to generate sum bit × number of stages
= 35 ns × 4
= 140 ns
Similarly, the total time taken by the 4-bit adder to generate the carry out bit will be:
= time taken by 1-bit full adder to generate carry out bit × number of stages
= 15 ns × 4
= 60 ns
Hence, the maximum number of additions that can be performed by this 4-bit adder in one second will be:
= 1 second/ (total time taken by 4-bit adder to generate sum bit)
= 1 second/ 140 ns
= 7.14 × 106/sec
Multiplying this value with 125 (the number of bits in 4-bit adder), we get:
= 7.14 × 106/sec × 125
= 0.8925 × 109/sec
= 892.5 × 106/sec
Therefore, the maximum number of additions that can be performed by this 4-bit adder will be 125 x 105/sec, which is option C.
Given:
Time taken by 1-bit full adder to generate carry out bit = 15 ns
Time taken by 1-bit full adder to generate sum bit = 35 ns
We need to design a 4-bit adder using cascade connection of four 1-bit full-adder.
To find: Maximum number of additions that can be performed by this 4-bit adder.
Calculation:
The time taken by 1-bit full adder to generate sum bit is more than the time taken to generate carry out bit.
Hence, the overall delay in generating the sum and carry bits in the 4-bit adder will be determined by the time taken to generate the sum bit.
In the 4-bit adder, there will be 4 stages of addition, where each stage will have one 1-bit full adder.
Therefore, the total time taken by the 4-bit adder to generate the sum bit will be:
= time taken by 1-bit full adder to generate sum bit × number of stages
= 35 ns × 4
= 140 ns
Similarly, the total time taken by the 4-bit adder to generate the carry out bit will be:
= time taken by 1-bit full adder to generate carry out bit × number of stages
= 15 ns × 4
= 60 ns
Hence, the maximum number of additions that can be performed by this 4-bit adder in one second will be:
= 1 second/ (total time taken by 4-bit adder to generate sum bit)
= 1 second/ 140 ns
= 7.14 × 106/sec
Multiplying this value with 125 (the number of bits in 4-bit adder), we get:
= 7.14 × 106/sec × 125
= 0.8925 × 109/sec
= 892.5 × 106/sec
Therefore, the maximum number of additions that can be performed by this 4-bit adder will be 125 x 105/sec, which is option C.
Attention Electrical Engineering (EE) Students!
To make sure you are not studying endlessly, EduRev has designed Electrical Engineering (EE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Electrical Engineering (EE).
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Similar Electrical Engineering (EE) Doubts
Top Courses for Electrical Engineering (EE)View all
A 1-bit full adder takes 15 ns to generate carry out bit while 35 ns for the sum bit. If we design a 4-bit adder using cascade connection of four 1-bit full-adder, then the maximum number of additions that can be performed by this 4-bit adder will be:a)166 x 105/secb)107/secc)125 x 105/secd)None of theseCorrect answer is option 'C'. Can you explain this answer?
Question Description
A 1-bit full adder takes 15 ns to generate carry out bit while 35 ns for the sum bit. If we design a 4-bit adder using cascade connection of four 1-bit full-adder, then the maximum number of additions that can be performed by this 4-bit adder will be:a)166 x 105/secb)107/secc)125 x 105/secd)None of theseCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A 1-bit full adder takes 15 ns to generate carry out bit while 35 ns for the sum bit. If we design a 4-bit adder using cascade connection of four 1-bit full-adder, then the maximum number of additions that can be performed by this 4-bit adder will be:a)166 x 105/secb)107/secc)125 x 105/secd)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 1-bit full adder takes 15 ns to generate carry out bit while 35 ns for the sum bit. If we design a 4-bit adder using cascade connection of four 1-bit full-adder, then the maximum number of additions that can be performed by this 4-bit adder will be:a)166 x 105/secb)107/secc)125 x 105/secd)None of theseCorrect answer is option 'C'. Can you explain this answer?.
A 1-bit full adder takes 15 ns to generate carry out bit while 35 ns for the sum bit. If we design a 4-bit adder using cascade connection of four 1-bit full-adder, then the maximum number of additions that can be performed by this 4-bit adder will be:a)166 x 105/secb)107/secc)125 x 105/secd)None of theseCorrect answer is option 'C'. Can you explain this answer? for Electrical Engineering (EE) 2024 is part of Electrical Engineering (EE) preparation. The Question and answers have been prepared according to the Electrical Engineering (EE) exam syllabus. Information about A 1-bit full adder takes 15 ns to generate carry out bit while 35 ns for the sum bit. If we design a 4-bit adder using cascade connection of four 1-bit full-adder, then the maximum number of additions that can be performed by this 4-bit adder will be:a)166 x 105/secb)107/secc)125 x 105/secd)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Electrical Engineering (EE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A 1-bit full adder takes 15 ns to generate carry out bit while 35 ns for the sum bit. If we design a 4-bit adder using cascade connection of four 1-bit full-adder, then the maximum number of additions that can be performed by this 4-bit adder will be:a)166 x 105/secb)107/secc)125 x 105/secd)None of theseCorrect answer is option 'C'. Can you explain this answer?.
Solutions for A 1-bit full adder takes 15 ns to generate carry out bit while 35 ns for the sum bit. If we design a 4-bit adder using cascade connection of four 1-bit full-adder, then the maximum number of additions that can be performed by this 4-bit adder will be:a)166 x 105/secb)107/secc)125 x 105/secd)None of theseCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for Electrical Engineering (EE).
Download more important topics, notes, lectures and mock test series for Electrical Engineering (EE) Exam by signing up for free.
Here you can find the meaning of A 1-bit full adder takes 15 ns to generate carry out bit while 35 ns for the sum bit. If we design a 4-bit adder using cascade connection of four 1-bit full-adder, then the maximum number of additions that can be performed by this 4-bit adder will be:a)166 x 105/secb)107/secc)125 x 105/secd)None of theseCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A 1-bit full adder takes 15 ns to generate carry out bit while 35 ns for the sum bit. If we design a 4-bit adder using cascade connection of four 1-bit full-adder, then the maximum number of additions that can be performed by this 4-bit adder will be:a)166 x 105/secb)107/secc)125 x 105/secd)None of theseCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A 1-bit full adder takes 15 ns to generate carry out bit while 35 ns for the sum bit. If we design a 4-bit adder using cascade connection of four 1-bit full-adder, then the maximum number of additions that can be performed by this 4-bit adder will be:a)166 x 105/secb)107/secc)125 x 105/secd)None of theseCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A 1-bit full adder takes 15 ns to generate carry out bit while 35 ns for the sum bit. If we design a 4-bit adder using cascade connection of four 1-bit full-adder, then the maximum number of additions that can be performed by this 4-bit adder will be:a)166 x 105/secb)107/secc)125 x 105/secd)None of theseCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A 1-bit full adder takes 15 ns to generate carry out bit while 35 ns for the sum bit. If we design a 4-bit adder using cascade connection of four 1-bit full-adder, then the maximum number of additions that can be performed by this 4-bit adder will be:a)166 x 105/secb)107/secc)125 x 105/secd)None of theseCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice Electrical Engineering (EE) tests.
|
|
Explore Courses for Electrical Engineering (EE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup