Question

In: Computer Science

0,101 x 22 to Scientific notation

0,101 x 22 to Scientific notation

Solutions

Expert Solution

In scientific notation the given number is represented as .

For a decimal number the base is 10, So for a decimal number like 12345 the scientific notation will be .

Here the given number is in binary, so the notation changes as .

Given binary,

before the first in binary is not needed, so it can be written as

when converting to scientific notation ,the value is converted to floating point value.

converting to floating point : , 2 digits are pushed to the right of the floating point, so 2 should be added to the exponent. The current exponent value is 2 adding 2 to it gives:


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