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The following questions refer to IEEE floating point numbers. Show each step for full credit. a)...

The following questions refer to IEEE floating point numbers. Show each step for full credit.

a) Give the 64-bit double precision internal representation (in hexadecimal) of the decimal value given below.

-9.625 ________________________________________________

b) Give the decimal value of the 32-bit single precision floating point number whose internal representation is given below (in hexadecimal).

3f400000 ________________________

c) Give the 32-bit single precision internal representation (in hexadecimal) of the decimal value given below.

+13.375 ________________________________________________

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Answer #1

1)Double precision (64 bits): Binary: Status: normal Bit 63 Sign Bit Bits 62 - 52 Exponent Field Bits 51-0 Significand 10000000010 1.0011010000000000000000000000000000000000000000000000 Decimal value of exponent field and exponent Decimal value of the significand 1: 1026 -10233 1.2031250000000000 Hexadecimal: C023400000000000Decimal: 9.6250000000000000

2)

Give the decimal value of the 32-bit single precision floating point number whose internal representation is given below (in hexadecimal).

3f400000 ______7.5E-1__________________

3)

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