floating point number, what decimal value does A represent? Show A in normalized scientific notation: 1.X ∗ 2^Y. (b) (15 points) Convert 28.410 to IEEE-754 single-precision binary. (c) (20 points) Given X = 0100 0001 0110 1110 0000 0000 0000 00002 and Y = 0100 0001 1011 1100 0000 0000 0000 00002 in single precision IEEE-754 floating point numbers, perform the following operations. Show all your work and express the final answer in single precision IEEE 754-floating point representat
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2. (50 points) Binary Integer Arithmetic
(a) (15 points) Given A = 1111 0011 1100 0011 1100 0000 0000 00002 and assuming A is a single
precision IEEE-754 floating point number, what decimal value does A represent? Show A in
normalized scientific notation: 1.X ∗ 2^Y.
(b) (15 points) Convert 28.410 to IEEE-754 single-precision binary.
(c) (20 points) Given X = 0100 0001 0110 1110 0000 0000 0000 00002 and
Y = 0100 0001 1011 1100 0000 0000 0000 00002 in single precision IEEE-754 floating point
numbers, perform the following operations. Show all your work and express the final answer in
single precision IEEE 754-floating point representation. 1. X+Y 2. X*Y
Hint: show each value in binary normalized scientific notation prior to performing the
arithmetic. This should make following the
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