This is actually a question in my Digital Circuits text. Are they kidding? Is there a way to tell that a discrete decimal will have an endless binary equivalent?
2.16=216/100=54/25 Whenever you want to convert a number to a fraction use this method: write it with no decimal point, and then split it by 1 followed by the number of «0»' s you want.
128 is not a valid octal number. Please restate the question.
Conversion from Binary to Decimal is easy if you use this common method: Assign a decimal value to each place of the binary number starting with 1 at the right-hand digit. Double each decimal value going right to left <== for each remaining binary digit, 1's and 0's. Add up the decimal numbers that correspond to 1's in the binary number. 1, 1, 0, 1, 1, 0, 0, 1 binary 128, 64, 32, 16, 8, 4, 2, 1 = 128+64+16+8+1 = 217 decimal
An algorithm for finding a unit fraction expression for any fraction is the Greedy Method. To use the Greedy Method on fraction X. Start with the largest unit fraction less then fraction X. Then continue in the same manner to represent the remaining value. 5/8th imperial measure or .625 in decimal.
If a fractions is 2/15 you have to find the multiples of it to make the denominator to 10, 100, 1000, and etc. so i would start from 15(denominator) 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, and a 100. so i would put the 2(numerator) in the 100th place which ithe answer is 0.02
Divide the numerator by the denominator.
The conversion of octal number to binary can be obtained by using two methods. First, it can be converted into decimal and then obtained decimal is converted into binary. In the second method
You divide the numerator of the fraction by its denominator - using long division (aka the bus-stop method) if required.
the binary numeral system
To change .01 into a fraction, we can first write it as a decimal. .01 is the same as 0.01. We then need to convert this decimal into a fraction. To do this, we can use the method for converting any decimal into a fraction. First, we need to multiply 0.01 by 100 to get rid of the decimal point. 100 x 0.01 = 1. Now that we have a whole number and a decimal, we can convert this into a fraction. To do this, we need to place the whole number (1) over the number of decimal places (2). This gives us the fraction 1/100. Therefore, 0.01 can be written as the fraction 1/100.
To convert a fraction to percent you first convert the fraction to a decimal. To do that we use the method of in/out. The numerator goes inside the division sign and the deniminator goes outside. This will give you a decimal of .71428. Now you can convert the decimal to a percent by moving the decimall to the right 2 places. So, the equivalent percent to 5/7 is 71%.
2.16=216/100=54/25 Whenever you want to convert a number to a fraction use this method: write it with no decimal point, and then split it by 1 followed by the number of «0»' s you want.
Answer: 123125/10000 Solution Method: 1. Convert the decimal number into a mixed fraction: 12.3125 = 12 + 3125/10000 2. Convert the mixed fraction to an improper fraction: 12 + 3125/10000 = (12*10000+3125)/10000 = 123125/10000
one method is to use a calculator
1 Method: 7 / 7 = 1 (note: to convert a fraction to a decimal, just divide the top number (numerator) by the bottom number (denominator). Answer 1: 7 over 7 as a decimal would be 1.
To convert decimal to binary, divide the decimal number you want to convert by 2 and write down the remainder. Repeat this until the final result is zero. The remainders you wrote down, written from the last one you wrote to the first (so the opposite order from which you derived them) is the binary equivalent.So using this method with the number 23 we get:23/2 = 11 remainder 111/2 = 5 remainder 15/2 = 2 remainder 12/2 = 1 remainder 01/2 = 0 remainder 1So the binary equivalent is 10111
Here's a simple Java method to perform the conversion from decimal to a binary string representation:public String toBinaryString(int n) {StringBuilder sb = new StringBuilder();while(n != 0) {sb.insert(0, n % 2 != 0 ? '1' : '0');n /= 2;}return sb.toString();}The java.lang.Integer class provides a conversion helper method between decimal (integer) and binary numbers in string form called toBinaryString().String binaryValue = Integer.toBinaryString(43) // 43-> "101011"