Question

question 2 57.55 in base 10 equals in base 2? (provide exactly 6 binary digits to the right of the decimal)

Answer 1

57.55 in base 10 equal in base 2 is 57.55₁₀ = 111001.10001100110₂

Base 10:

It refers the decimal number system.

A number system which uses digits from 0 to 9 to represent a number.

Base 2:

It refers the Binary number system.

A binary number is defined as a number that is expressed in the binary system or base 2 numeral system. It describes numeric values by two separate symbols; 1 (one) and 0 (zero).

Given,

The base 10 number = 57.55

Now we have to convert it into base 2,

So, the conversion will follow the following step in image 1.

Write the Remainders from bottom to top

So, 57₁₀=111001₂

For Decimal Numbers

Refer image 2,

Write the Integer part from top to bottom

55₁₀ = 10001100110₂

Therefore,

57.55₁₀ = 111001.10001100110₂

To know more about Base 10 to base 2 conversion here

brainly.com/question/13384891

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