1. (25 points) What decimal number does the bit pattern OX1EF00F00 represent if it is a...

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1. (25 points) What decimal number does the bit pattern OX1EF00F00 represent if it is a floating point number? Use the IEEE 754 standard. 2. (25 points) Write down the binary representation of the decimal number 31.7 assuming the IEEE 754 single precision format. 3. (25 points) Write down the binary representation of the decimal number 31.5 assuming the IEEE 754 double precision format (note that the bias in double precision format is 1023). 4. (25 points) For a 16-bit half precision format, the left most bit is the sign bit, the exponent is 5 bits wide, and the fraction is 10 bits long. A hidden 1 is assumed. Write down the bit pattern to represent 4.8125 x 10-2 assuming a version of this format, which uses an excess-15 format to store the exponent. 1. (25 points) What decimal number does the bit pattern OX1EF00F00 represent if it is a floating point number? Use the IEEE 754 standard. 2. (25 points) Write down the binary representation of the decimal number 31.7 assuming the IEEE 754 single precision format. 3. (25 points) Write down the binary representation of the decimal number 31.5 assuming the IEEE 754 double precision format (note that the bias in double precision format is 1023). 4. (25 points) For a 16-bit half precision format, the left most bit is the sign bit, the exponent is 5 bits wide, and the fraction is 10 bits long. A hidden 1 is assumed. Write down the bit pattern to represent 4.8125 x 10-2 assuming a version of this format, which uses an excess-15 format to store the exponent.