Question
Download Solution PDFThe number 83 is written in the binary system as
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFConcept:
Steps to convert decimal to binary:
- Take the decimal number as a dividend.
- Divide the number by 2.
- Get the integer quotient for the next iteration.
- Get the remainder (it will be either 0 or 1 because of divisor 2).
- Repeat the steps until the quotient is equal to 0
- Write the remainders in reverse order (which will be the equivalent binary number of the given decimal number).
Calculation:
|
Division |
Remainder (R) |
|---|---|
|
83 / 2 = 41 |
1 |
|
41 / 2 = 20 |
1 |
|
20 / 2 = 10 |
0 |
|
10 / 2 = 5 |
0 |
|
5 / 2 = 2 |
1 |
|
2 / 2 = 1 |
0 |
|
1 / 2 = 0 |
1 |
Now, write the remainder from bottom to up (in reverse order), this will be 1010011 which is the equivalent binary number of decimal integer 83.
Hence, option (3) is correct.
Last updated on May 30, 2025
->UPSC has released UPSC NDA 2 Notification on 28th May 2025 announcing the NDA 2 vacancies.
-> A total of 406 vacancies have been announced for NDA 2 Exam 2025.
->The NDA exam date 2025 has been announced for cycle 2. The written examination will be held on 14th September 2025.
-> Earlier, the UPSC NDA 1 Exam Result has been released on the official website.
-> The selection process for the NDA exam includes a Written Exam and SSB Interview.
-> Candidates who get successful selection under UPSC NDA will get a salary range between Rs. 15,600 to Rs. 39,100.
-> Candidates must go through the NDA previous year question paper. Attempting the NDA mock test is also essential.