So, my question is why we can use the division algorithm to convert between the decimal bases and any other number bases? An example from the decimal system to binary would be appreciated.

Textbook solutions for Elementary Technical Mathematics 12th Edition Dale Ewen and others in this series. View step-by-step homework solutions for your homework. Ask our subject experts for help …

I'm trying to learn on how to convert a negative decimal number (with fraction) to binary, octal and hexadecimal. So, base 10: -89.3125 Here is what I did to convert this to binary: -89= 1011001 (

These two value systems are what make these systems base-10 and base-2. For each column the number is raised by the power. To further explain how to convert Binary to Denary look at the …

9 I read here an algorithm to convert a decimal rational number to binary by multiplications by 2, but although it's very simple to carry on, I still haven't managed to explain myself why it works. Anyway …

3. On a computer, floating-point numbers are represented in the following way FLOATING-POINT ARITHMETIC t t = sign of exponent, 1 bit e absolute value of exponent, 3 bits sign of mantissa, 1 bit …

Honestly, I tend to convert things to binary as intermediate. It's very easy to turn binary into hex or octal (and fairly easy for decimal, too).

Computers perform arithmetic operations on binary numbers. This means the decimal numbers are converted into binary form. Then operations are performed on the number. Common arithmetic …

I'm trying to convert a 16 bit precision binary number to decimal format however I am completely failing to do so. The binary I'm trying to convert is $0101011101010000$ My current method is:

Use a calculator to approximate Round the answer to two decimal places. Find the closest fractional equivalent for each of the following decimal measurements using the given denominator. 10. 1.80 in. …