# Section16.6Exercises

##### 1

Using IEEE 754 32-bit format, what decimal number would the bit pattern $\hex{00000000}_{16}$ represent, ignoring the special case of “zero value”.

Solution
##### 2

Convert the following decimal numbers to 32-bit IEEE 754 format by hand:

1. $1.0$

2. $-0.1$

3. $2016.0$

4. $0.00390625$

5. $-3125.3125$

6. $0.33$

7. $-0.67$

8. $3.14$

##### 3

Convert the following hexadecimal numbers to decimal by hand using the 32-bit IEEE 754 format:

1. $\hex{4000 0000}$

2. $\hex{bf80 0000}$

3. $\hex{3d80 0000}$

4. $\hex{c180 4000}$

5. $\hex{42c8 1000}$

6. $\hex{3f99 999a}$

7. $\hex{42f6 e666}$

8. $\hex{c259 48b4}$