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?
To convert the binary number 111 to decimal, you can use the positional notation method. The binary number 111 represents the sum of 2^2 + 2^1 + 2^0, which equals 4 + 2 + 1. Therefore, the decimal conversion of the binary number 111 is 7.
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.
Straight binary coding is a method of representing numerical values using a binary format, where each decimal digit is represented by a fixed number of binary bits. In this system, digits 0 through 9 are typically encoded in 4 bits, allowing for 16 possible combinations, which is sufficient to represent all decimal digits. This coding is straightforward and ensures that each decimal digit corresponds directly to its binary equivalent, facilitating easy conversion between binary and decimal systems.
128 is not a valid octal number. Please restate the question.
To convert 0.5 to binary, we can use the method of multiplying by 2 and taking the integer part of the result at each step. Start by multiplying 0.5 by 2 to get 1.0, which means the binary representation starts with 0.1. Continue this process by multiplying the fractional part by 2: 0.0. The binary representation of 0.5 is therefore 0.1.
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.
To convert the binary number 111 to decimal, you can use the positional notation method. The binary number 111 represents the sum of 2^2 + 2^1 + 2^0, which equals 4 + 2 + 1. Therefore, the decimal conversion of the binary number 111 is 7.
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.
To change the binary number 101010 (which is 42 in decimal) into 950 without using subtraction, you can multiply it by 22.6190, which is approximately 950/42. However, since multiplying directly by fractions isn't straightforward in binary, a more practical method is to first convert 101010 into decimal, multiply it by 22, then convert the result back to binary. This effectively achieves the target number without any subtractions.
one method is to use a calculator
BCD (Binary Coded Decimal) output can be generated using decimal-to-BCD conversion algorithms. One common method involves dividing the decimal number by 10 and storing the remainder as the Binary Coded Decimal digit. This process is repeated until all decimal digits are converted into BCD form. Alternatively, some microcontrollers have built-in instructions to directly convert decimal numbers to BCD format.
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.