Convert 195.625 (10) to
Binary? With The steps pls
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Convert 195.625 (10) to
Binary? With The steps pls
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Answer:
First, convert to the binary (base 2) the integer part: 195.
Divide the number repeatedly by 2.
Keep track of each remainder.
We stop when we get a quotient that is equal to zero.
division = quotient + remainder;
195 ÷ 2 = 97 + 1;
97 ÷ 2 = 48 + 1;
48 ÷ 2 = 24 + 0;
24 ÷ 2 = 12 + 0;
12 ÷ 2 = 6 + 0;
6 ÷ 2 = 3 + 0;
3 ÷ 2 = 1 + 1;
1 ÷ 2 = 0 + 1;
2. Construct the base 2 representation of the integer part of the number.
Take all the remainders starting from the bottom of the list constructed above.
195(10) =
1100 0011(2)
3. Convert to the binary (base 2) the fractional part: 0.625.
Multiply it repeatedly by 2.
Keep track of each integer part of the results.
Stop when we get a fractional part that is equal to zero.
#) multiplying = integer + fractional part;
1) 0.625 × 2 = 1 + 0.25;
2) 0.25 × 2 = 0 + 0.5;
3) 0.5 × 2 = 1 + 0;
Explanation:
Mark as BRAINLIST