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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%
How do you convert 90 to binary manually?
To convert 90 to binary manually, start by dividing 90 by 2 and noting the remainder. Then, divide the quotient by 2 again and note the remainder. Repeat this process until the quotient reaches 0. The binary representation of 90 is the sequence of remainders read in reverse order (from bottom to top). In this case, 90 in binary is 1011010.
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.
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
How many albums did Rock Bottom remainders have?
The Rock Bottom Remainders have not released any official studio albums. They are a musical group comprised of bestselling authors who perform together for charity, and their performances are typically covers of popular songs rather than original material.
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
