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The places in base two (binary) are ones, twos, fours, eights, sixteens, thirty-twos and so on.

There is one 32 in 47 with 15 left over. There is one 8 in 15 with 7 left over. There is one 4 in 7 with 3 left over. There is one 2 in 3 with 1 left over. There is one 1 in 1 with 0 left over.

That leaves us with one 32, one 8, one 4, one 2 and one 1.

47 base 10 = 10 1111 base 2

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More answers

Partition the sum 47 into powers of 2.

Put these powers of 2 in descending order.

Replace the powers of 2 by 1 while inserting 0 for powers that do not appera.


Thus,

47 = 32 + 8 + 4 + 2 + 1 or 2^5 + 2^3 + 2^2 + 2^1 + 2^0 (note that 2^4 is missing).


And so the binary form is 101111.


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Q: What are the steps to convert decimal number 47 to binary number?
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What are the steps in converting decimal number with fractional part to binary number?

To convert a decimal number to a binary number, you need to have each number be an integer. So, the first step is to make sure your fractional part really is fractional. Convert each integer to binary separately. 1 and 4/5 to binary would be this: 1 -> 1 4 -> 100 5 -> 101 1 and 100/101 or 1001/101 If it's already in decimal form (instead of 1 and 4/5, you have 1.8), then there's no easy way to do it that I know of. This is partly because the only decimals in binary that don't continue on forever are those which, in fractions form, have denominators made only of 2's. 1/2, 1/4, 3/4, 1/8 and so on.


What are the steps to convert 0.08 into a fraction?

0.08 has two digits after the decimal point. Remove the decimal point from the number and divide it by 1 followed by that same number ie 100. Then simplify. So 0.08 = 8/100 = 2/25


What number is 15 percent of 80 showing the steps?

Convert the percentage to a decimal: 15% = 15 / 100 = 0.15 15% * 80 = 0.15 * 80 = 12


What is 13 percent of 65?

This is the long way, explaining all the steps: 13% of 65 can be set up as a fraction: 13/65 convert the fraction to a decimal by dividing the top number by the bottom number: 13 ÷ 65 = .2 then convert the decimal to a percent by moving the decimal place 2 places to the right and placing the percent sign: .2 = 20%


What is 14 and 35 as a decimal with steps?

A decimal number is simply a way of representing a number in such a way that the place value of each digit is ten times that of the digit to its right. A decimal representation does not require a decimal point. So the required decimal representation is 14 + 35 = 49.