1 answer

Given A = (1111 0011 1100 0011 1100 0000 0000 0000)2 and assuming A is a...

Question:

  1. Given A = (1111 0011 1100 0011 1100 0000 0000 0000)2 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 * 2Y.

  2. Convert (28.4)10 to IEEE-754 single-precision binary.

  3. Given X = (0100 0010 0000 1111 0000 0000 0000 0000)2 and Y = (0100 0001 1010 0100 0000 0000 0000 0000)2 in single precision IEEE-754 floating point numbers, perform the following operations. Show all of 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 algorithms easier.


Answers

Given A = (1111 0011 1100 0011 1100 0000 0000 0000)2 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 * 2Y.

ANSWER:

The first bit is sign bit next 8 bits are exponents and last 23 bits are a fraction The 1st bit is 1: so it is negative. So n

.

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