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.
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