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Why do you write the remainders from bottom to top while converting decimal to binary?
Wiki User
∙ 10y ago
That is something that is specific to the method that you are being taught to use for the conversion. There are many methods which are mathematically equivalent but which require different conventions about how and where various intermediate results should be written. I, for one, have never written remainders from bottom to top.
Wiki User
∙ 10y ago
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Why creating a converter from decimal to binary would be more difficult to construct?
It isn't particularly difficult. Just use repeated divisions by 2; the remainders of each division give you the binary digit (in inverse order). Example: Convert 6 to binary. Dividing successively by 2 gives you: 6 / 2 = 3 r 0 3 / 2 = 1 r 1 1 / 2 = 0 r 1 Please note that you must continue until the result of the final division is equal to zero! The answer is 110 (the remainders, read from bottom to top). The above assumes a whole number; if you have decimals, additional calculations are required.
What is the formula decimal to binary?
1Set up the problem. For this example, let's convert the decimal number 15610 to binary. Write the decimal number as the dividend inside an upside-down "long division" symbol. Write the base of the destination system (in our case, "2" for binary) as the divisor outside the curve of the division symbol.This method is much easier to understand when visualized on paper, and is much easier for beginners, as it relies only on division by two.To avoid confusion before and after conversion, write the number of the base system that you are working with as a subscript of each number. In this case, the decimal number will have a subscript of 10 and the binary equivalent will have a subscript of 2.2 Divide. Write the integer answer (quotient) under the long division symbol, and write the remainder (0 or 1) to the right of the dividend.[2]Since we are dividing by 2, when the dividend is even the binary remainder will be 0, and when the dividend is odd the binary remainder will be 1.3 Continue to divide until you reach 0. Continue downwards, dividing each new quotient by two and writing the remainders to the right of each dividend. Stop when the quotient is 0.4Write out the new, binary number. Starting with the bottom remainder, read the sequence of remainders upwards to the top. For this example, you should have 10011100. This is the binary equivalent of the decimal number 156. Or, written with base subscripts: 15610 = 100111002This method can be modified to convert from decimal to any base. The divisor is 2 because the desired destination is base 2 (binary). If the desired destination is a different base, replace the 2 in the method with the desired base. For example, if the desired destination is base 9, replace the 2 with 9. The final result will then be in the desired base.
When you are converting a fraction to a decimal how do you know which number is the dividend and which number is the divisor?
The dividend is the numerator and the divisor is the denominator. Basically, you divide the top number (numerator) by the bottom number (denominator).
Convert 5 over 16 into a percent?
5/16 can be converted into a percent by converting it ito a decimal and then moving the decimal point two places to the right. To convert a fraction into a decimal number, divide the top number (5) by the bottom number (16): 5/16 = 5 ÷ 16 = .3125, then move the decimal 2 places to the right = 31.25%
Why do digital computer use binary number system?
Binary numbers have only 2 digits, 0 and 1. Binary came from a need to represent information based in magnetics that only offer an "on" or "off" state. Decimal numbers have 10 digits, 0,1,2,3,4,5,6,7,8,9. Decimal numbers came about from humans having 10 fingers to count with. Once they reach 10, they start reusing fingers (digits). When humans count to 3, they count to their 3rd digit. Here's how to count to 3 in binary, which only has 2 digits: 01,10,11 Here's counting to 7 in decimal: 1,2,3,4,5,6,7 Here's counting to 7 in binary: 001,010,011,100,101,110,111 All of the mathematics done in decimal can be done in binary. No matter how fancy computers get, the bottom line is they have to store and manipulate information at a physical level, something physical must store all of that information. In computers, that physical storage is magnetic. All information is stored and manipulated at the lowest level as a combination of large binary values, large combinations of "on" and "off". Scientists are inventing new ways to store information in computers, so perhaps in time computer storage won't be limited to binary values.
Is there is possible alogrithm for converting a decimal to binary representation in terms of speed?
Repeatedly divide by 2. The remainders - in reverse order - form the binary number. You must continue dividing until the result of the division is zero. Example: Convert 11(decimal) to binary. 11 / 2 = 5 r 1 5 / 2 = 2 r 1 2 / 2 = 1 r 0 1 / 2 = 0 r 1. Now list the remainders from bottom to top: 1011. This is the binary representation of eleven.
What is the process of converting a decimal number into its binary equivalent?
Divide by the number repeatedly by two (until it is zero) and collect the remainders. For example: 13 / 2 = 6 Remainder 1 6 / 2 = 3 Remainder 0 3 / 2 = 1 Remainder 1 1 / 2 = 0 Remainder 1 Reading remainders from bottom yields: 1101
When you are converting a decimal into a percentage what do you do when the answer is a decimal?
you basically just write the point what ever at the top and then u put 100 at the bottom.
Why creating a converter from decimal to binary would be more difficult to construct?
It isn't particularly difficult. Just use repeated divisions by 2; the remainders of each division give you the binary digit (in inverse order). Example: Convert 6 to binary. Dividing successively by 2 gives you: 6 / 2 = 3 r 0 3 / 2 = 1 r 1 1 / 2 = 0 r 1 Please note that you must continue until the result of the final division is equal to zero! The answer is 110 (the remainders, read from bottom to top). The above assumes a whole number; if you have decimals, additional calculations are required.
How many albums did Rock Bottom remainders have?
they have 16 albums
What is the name of rick Riordan's folk rock band?
rock bottom remainders
What is the formula decimal to binary?
1Set up the problem. For this example, let's convert the decimal number 15610 to binary. Write the decimal number as the dividend inside an upside-down "long division" symbol. Write the base of the destination system (in our case, "2" for binary) as the divisor outside the curve of the division symbol.This method is much easier to understand when visualized on paper, and is much easier for beginners, as it relies only on division by two.To avoid confusion before and after conversion, write the number of the base system that you are working with as a subscript of each number. In this case, the decimal number will have a subscript of 10 and the binary equivalent will have a subscript of 2.2 Divide. Write the integer answer (quotient) under the long division symbol, and write the remainder (0 or 1) to the right of the dividend.[2]Since we are dividing by 2, when the dividend is even the binary remainder will be 0, and when the dividend is odd the binary remainder will be 1.3 Continue to divide until you reach 0. Continue downwards, dividing each new quotient by two and writing the remainders to the right of each dividend. Stop when the quotient is 0.4Write out the new, binary number. Starting with the bottom remainder, read the sequence of remainders upwards to the top. For this example, you should have 10011100. This is the binary equivalent of the decimal number 156. Or, written with base subscripts: 15610 = 100111002This method can be modified to convert from decimal to any base. The divisor is 2 because the desired destination is base 2 (binary). If the desired destination is a different base, replace the 2 in the method with the desired base. For example, if the desired destination is base 9, replace the 2 with 9. The final result will then be in the desired base.
When you are converting a fraction to a decimal how do you know which number is the dividend and which number is the divisor?
The dividend is the numerator and the divisor is the denominator. Basically, you divide the top number (numerator) by the bottom number (denominator).
What is the binary number equivalent to the decimal number 150?
Here's an easy way to convert decimal to binary. 150 = 75x2 + 0 75 = 37x2 + 1 37 = 18x2 + 1 18 = 9x2 + 0 9 = 4x2 + 1 4 = 2x2 + 0 2 = 1x2 + 0 1 = 0x2 + 1 Then place the 'remainder' values in order from bottom to top. 150 (decimal) = 10010110 (binary) This equates to, 27 + 24 + 22 + 21 = 128 + 16 + 4 + 2 = 150
Convert 5 over 16 into a percent?
5/16 can be converted into a percent by converting it ito a decimal and then moving the decimal point two places to the right. To convert a fraction into a decimal number, divide the top number (5) by the bottom number (16): 5/16 = 5 ÷ 16 = .3125, then move the decimal 2 places to the right = 31.25%
How do you convert fractional decimal numerals in binary?
Steps to convert fractional decimal to binary: 1.Multiply the number fractional part) successively by 2 and note the integer part of product. 2.Repeat the process till the fractional part becomes 0 or required accuracy is reached. 3.Binary equivalent of fractional part are the carries i.e. integer which is noted separately. Write down these carries from top to bottom. e.g. Conversion of 0.75 to binary 0.75*2=1.50 1 0.50*2=1.00 1 ans==> (0.11)
How to convert an integer into binary form?
# For this example, let's convert the decimal number 15610 to binary. Write the decimal number as the dividend inside an upside-down "long division" symbol. Write the base of the destination system (in our case, "2" for binary) as the divisor outside the curve of the division symbol. 2)156 # Write the integer answer (quotient) under the long division symbol, and write the reminader (0 or 1) to the right of the dividend. 2)156 0 78 # Continue downwards, dividing each new quotient by two and writing the remainders to the right of each dividend. Stop when the quotient is 1. 2)156 0 2)78 0 2)39 1 2)19 1 2)9 1 2)4 0 2)2 0 1 # Starting with the bottom 1, read the sequence of 1's and 0's upwards to the top. You should have 10011100. This is the binary equivalent of the decimal number 156. Or, written with base subscripts: 15610 = 100111002 *Taken from wikiHow www.wikihow.com
