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kkurt [141]
4 years ago
7

How would you convert this base 10 decimal into a base 2number?:

Computers and Technology
1 answer:
Tju [1.3M]4 years ago
6 0

Answer:

The method of converting a base 10 or decimal number into base 2 or binary number is as following:-

  1. Divide the decimal number by 2 and store it's remainder.
  2. keep dividing the decimal number by 2 until it becomes 0 and also keep storing it's remainder.
  3. Then write the remainders in reverse order.This the binary number.

Refer the attached image for better explanation.

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Answer:    -26

Explanation:

We have:  1 1 1 0   0 1 0 1

Since it’s one’s complement representation, then we check the very first digit to state if the number is negative or positive. Since the very first digit to the left is 1, then the number will be negative.

When it is negative, we now flip the bits, so that we get:

0 0 0 1   1 0 1 0

Notice we just turn the 1’s into 0’s and vice versa.

We now convert this binary into decimal:

We assign to each digit the corresponding power of 2.  

See it in a table:

\begin{matrix}0&0&0&1&1&0&1&0\\2^7&2^6&2^5&2^4&2^3&2^2&2^1&2^0 \end{matrix}

Then multiplying each digit by its corresponding power of 2 and then adding the results, we get:

2^4+2^3+2^1

We get:

16+8+2=26

Since we stated that the number is negative, then, the final result is: -26

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3 years ago
Guidelines on how to write a report on how technology has affected office duties
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Which feature of a router provides traffic flow and enhances network security?
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Answer:

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