Java Primitive Data Types -Floats key

IEEE (Institute of Electronics and Electrical Engineers) Standard 754

1. Convert the following base 10 decimals to binary.

1. 0.1 = 0.0001 1001 1001 1001 1001 1001 1001 1000
2. 0.2
3. -0.25
4. -0.5
5. 8.125

2. Convert the binary numbers in 1. to 1-plus normalized base 2 representation with exponent E written in excess-127 format: N = ± (1.b₁b₂b₃ ...b₂₃ )₂ x 2⁺E (Round b₂₃ based on b₂₄.)

1. 1.1001 1001 1001 1001 1001 101 x 10^{0111 1011}

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The Java primitive data type float is 4 bytes, or 32 bits:

3. Write your 1-plus normalized base 2 representation with excess-127 exponent as a java float (rounded) and as an 8-digit hexadecimal.

1. 0011 1101 1100 1100 1100 1100 1100 1101
   3DCCCCCD
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