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3 years ago

Convert (35.125)10 to binary

Computers and Technology

1 answer:

cupoosta [38]3 years ago

7 0

Answer:

The answer is: 100011.001₂.

Explanation:

First, transform to binary the integer part: 35. Divide the number repeatedly by 2, keeping track of each remainder, until we get a quotient that is equal to 0:

35 ÷ 2 = 17 + 1;
17 ÷ 2 = 8 + 1;
8 ÷ 2 = 4 + 0;
4 ÷ 2 = 2 + 0;
2 ÷ 2 = 1 + 0;
1 ÷ 2 = 0 + 1;

Now, construct the integer part base 2 representation, by taking the remainders starting from the bottom of the list:

35₁₀ = 100011₂

Then, transform to binary the fractional part: 0.125. Multiply it repeatedly by 2, keeping track of each integer part of the results, until we get a fractional part that is equal to 0:

0.125 × 2 = 0 + 0.25;
0.25 × 2 = 0 + 0.5;
0.5 × 2 = 1 + 0;

Construct the fractional part base 2 representation by taking all the integer parts of the multiplying operations, starting from the top of the list.

0.125₁₀ = 0.001₂

Then you have:

35.125₁₀ = 100011.001₂

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<h3>Writting the code:</h3>

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2 years ago