Electrical Engineering (EE) Exam > Electrical Engineering (EE) Questions > A number is expressed in binary 2's complemen...
Start Learning for Free
A number is expressed in binary 2's complement as 10011 decimal equivalent value is
- a)19
- b)13
- c)-19
- d)-13
Correct answer is option 'D'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A number is expressed in binary 2's complement as 10011 decimal equiva...
Explanation:
The 2's complement representation of a negative number is obtained by inverting all the bits and adding 1 to the least significant bit. To get the decimal equivalent of a number represented in 2's complement, we follow the below steps:
1. If the leftmost bit is 1, then the number is negative. In this case, we need to convert the binary number to its 2's complement form.
2. Invert all the bits of the binary number.
3. Add 1 to the least significant bit of the inverted number.
4. The resulting number is the decimal equivalent of the original binary number.
Solution:
The given binary number is 10011.
The leftmost bit is 1, which indicates that the number is negative.
We need to convert the binary number to its 2's complement form.
Invert all the bits of the binary number: 01100
Add 1 to the least significant bit of the inverted number: 01101
The resulting number is 13 in decimal.
However, since the original number was negative, we need to negate the result.
Therefore, the decimal equivalent of the given binary number is -13.
Hence, the correct option is D.
The 2's complement representation of a negative number is obtained by inverting all the bits and adding 1 to the least significant bit. To get the decimal equivalent of a number represented in 2's complement, we follow the below steps:
1. If the leftmost bit is 1, then the number is negative. In this case, we need to convert the binary number to its 2's complement form.
2. Invert all the bits of the binary number.
3. Add 1 to the least significant bit of the inverted number.
4. The resulting number is the decimal equivalent of the original binary number.
Solution:
The given binary number is 10011.
The leftmost bit is 1, which indicates that the number is negative.
We need to convert the binary number to its 2's complement form.
Invert all the bits of the binary number: 01100
Add 1 to the least significant bit of the inverted number: 01101
The resulting number is 13 in decimal.
However, since the original number was negative, we need to negate the result.
Therefore, the decimal equivalent of the given binary number is -13.
Hence, the correct option is D.
Free Test
FREE
| Start Free Test |
Community Answer
A number is expressed in binary 2's complement as 10011 decimal equiva...
Rightmost bit 1 represents that number is negative
(If it is 0 then number is positive).Left bits are toggled i.e inversed....so they become 1100.finally add 1. so it becomes 1101.And 1101 is 13.Since it was a negative number so it's -13.
(If it is 0 then number is positive).Left bits are toggled i.e inversed....so they become 1100.finally add 1. so it becomes 1101.And 1101 is 13.Since it was a negative number so it's -13.
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 number is expressed in binary 2's complement as 10011 decimal equivalent value isa)19b)13c)-19d)-13Correct answer is option 'D'. Can you explain this answer?
Question Description
A number is expressed in binary 2's complement as 10011 decimal equivalent value isa)19b)13c)-19d)-13Correct answer is option 'D'. 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 number is expressed in binary 2's complement as 10011 decimal equivalent value isa)19b)13c)-19d)-13Correct answer is option 'D'. 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 number is expressed in binary 2's complement as 10011 decimal equivalent value isa)19b)13c)-19d)-13Correct answer is option 'D'. Can you explain this answer?.
A number is expressed in binary 2's complement as 10011 decimal equivalent value isa)19b)13c)-19d)-13Correct answer is option 'D'. 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 number is expressed in binary 2's complement as 10011 decimal equivalent value isa)19b)13c)-19d)-13Correct answer is option 'D'. 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 number is expressed in binary 2's complement as 10011 decimal equivalent value isa)19b)13c)-19d)-13Correct answer is option 'D'. Can you explain this answer?.
Solutions for A number is expressed in binary 2's complement as 10011 decimal equivalent value isa)19b)13c)-19d)-13Correct answer is option 'D'. 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 number is expressed in binary 2's complement as 10011 decimal equivalent value isa)19b)13c)-19d)-13Correct answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A number is expressed in binary 2's complement as 10011 decimal equivalent value isa)19b)13c)-19d)-13Correct answer is option 'D'. Can you explain this answer?, a detailed solution for A number is expressed in binary 2's complement as 10011 decimal equivalent value isa)19b)13c)-19d)-13Correct answer is option 'D'. Can you explain this answer? has been provided alongside types of A number is expressed in binary 2's complement as 10011 decimal equivalent value isa)19b)13c)-19d)-13Correct answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A number is expressed in binary 2's complement as 10011 decimal equivalent value isa)19b)13c)-19d)-13Correct answer is option 'D'. 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