Represent the number $( - 0.125)_{10}$ in single & double precision IEEE 754 binsry floaitng point representation formats.

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Represent the number

$( - 0.125)_{10}$ in single & double precision IEEE 754 binsry floaitng point representation formats.

written 6.2 years ago by

teamques10 ★ 69k

modified 3.1 years ago by

pedsangini276 • 4.8k

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1 Answer

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written 6.0 years ago by

teamques10 ★ 69k

modified 5.9 years ago by

yashbeer ★ 11k

1. For single precision format.

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Decimal no : -0.125

Binary no : $(0.001)^{10}_2$

Normalized no : $1.0 \times 2 ^{-03}$

To calculate biased exponent

enter image description here

Let us put in single precision format.

enter image description here

2. For double precision format.

enter image description here

Decimal no : $-0.125_{10}$

Binary no : $(0.001)_2$

Normalized no : $1.0 \times 2^{-003}$

To calculate biased exponent.

enter image description here

Let us put in double precision format.

enter image description here

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