The Gateway to Computer Science Excellence

First time here? Checkout the FAQ!

x

+1 vote

+3

The question is asking for representation in 5 digits..So prior to finding 10's complement , u have to represent the given number in 5 digits which can be done by appending a 0 to MSB as it does not changes value..

So 5 digit representation of number = (09900)_{10}

So 9's complement of it = (90099)_{10}

So 10's complement of it = (90099)_{10 }+ 1

= (90100)_{10}

+6 votes

Best answer

The question is asking for representation in 5 digits..So prior to finding 10's complement , u have to represent the given number in 5 digits which can be done by appending a 0 to MSB as it does not changes value..

So 5 digit representation of number = (09900)_{10}

So 9's complement of it = (90099)_{10}

So 10's complement of it = (90099)_{10 }+ 1

= (90100)_{10}

**Hence C) is the correct answer..**

- All categories
- General Aptitude 1.2k
- Engineering Mathematics 4.8k
- Digital Logic 2k
- Programming & DS 3.5k
- Algorithms 3k
- Theory of Computation 3.8k
- Compiler Design 1.5k
- Databases 2.8k
- CO & Architecture 2.5k
- Computer Networks 2.9k
- Non GATE 941
- Others 1.2k
- Admissions 334
- Exam Queries 410
- Tier 1 Placement Questions 17
- Job Queries 52
- Projects 8

34,234 questions

40,919 answers

116,193 comments

39,834 users