1. (10 points) Encode Float16: Encode the following number as a float16 number: 1.010101 x 2^-12 Recall that a float16 has a defined bias of 15.

2. (10 Points) Decode Float16: Decode the following float16 value

1

1

0

0

0

1

1

0

1

1

0

0

0

0

0

0

1. as a value in binary scientific notation:

(for clarity your exponent can be written as a decimal number)

2. as real binary number:

3. as a real decimal number: (Hint: refer to Problem 5)