# Homework 4 Keeping It Real

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```					                     Here is some practice at all the different
“difficult” calculations that you must master.
Remember you have the wee cheat books
which will show you how to do the, or come
and see me
Due Date = Thursday 20th November

1. Convert the following numbers from decimal to binary
a. 35              b. 87         c. 133

2. Convert the following from binary to decimal
a. 0011 0011       b. 1011 1000   c. 1000 1000

3. Convert the following using Two’s Compliment Notation
a. -89             b. -100        c. -23

4. Convert the following assuming Two’s Compliment Notation
a. 1011 1000       b. 1000 1111   c. 1011 1000

5. Convert the following using Floating Point Representation. Using 8
bits for the mantissa and 4 bits for the exponent
a. 1000 1000 (mantissa) 0100 (exponent)
b. 1101 1100 (mantissa) 0100 (exponent)

6. Show how the following numbers would be represented using
Floating Point Representation using 16 bits for the mantissa and
8 bits for the exponent
a. 23.75     b.128.5   c. 12.625

7. An image is saved.It measures 4 inches by 4 inches and has a
resolution of 500 dpi.
a. Calculate the backing storage requirements if it was saved
using true colour
b. Calculate the backing storage requirements if it was saved
using 65,536 colour

```
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