Activity : Floating Point Form
First, some practice at fixed point binary numbers...

The questions below all assume that real numbers are stored as 8-bit numbers...with 4 bits for the integer part (using a sign bit) and four bits for the fraction part.

Sign

 4 2 1 . 0.5 0.25 0.125 0.0625
       

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Enter your answers in the text boxes and check them...
What denary number is represented by the binary number 01011100?
How would the fraction 2.125 be represented as an 8-bit binary number?
What denary number is represented by the binary number 11001011 assuming two's complement notation?
What is the largest positive number that can be represented? (in binary)
What is the largest positive number that can be represented (in denary)
  In the following questions a computer uses a 20-bit floating point form, with a 16-bit mantissa in two's complement form, and a 4-bit exponent in two's complement form.

Mantissa - 16 bits

Exponent - 4 bits

 

  
 
What denary number is represented by the floating point binary number
0100 1000 0000 0000 0100?
How would the number 37.25 be represented using this floating point form?

Enter your answer as a hexadecimal number (using upper-case letters).
What denary number is represented by the floating point binary number
0110 0000 0000 0000 1100?
How would the number -12.75 be represented using this floating point form?

Enter your answer as a hexadecimal number (using upper-case letters). 
 		  

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