### Homework #4

Some problems for this homework are from the textbook. Please note that I have changed the content of some of them.

1. 8 (page 170). (10 points)

2. 10 (page 170). (10 points)

3. 16 (page 170). (30 points)

4. 19 (page 28). Find the first four numbers in each stream. (30 points)

5. As you know bit strings have no inherent meaning. Given the bit pattern 10001111000000010000100000000001 what does it represent, assuming it is

a) a standard binary number? (5 points)
b) an unsigned integer? (5 points)
c) a 2's complement number? (5 points)
d) a floating point number? (5 points)

6. 4. Convert the decimal -1996 into

a) standard binary (5 points)
b) 8 bit signed integer (5 points)
c) 16 bit 2's complement integer (5 points)
Note: in each case show the binary, octal and hexadecimal representations.

7. Convert (show your work) the decimal 10.0703125 to

a) standard binary (5 points)
b) normalized binary (5 points)

8. Show the floating point format (single precision) for the decimal 1.25. Show the steps of your work. (10 points)

9. Show the floating point format (single precision) for the decimal 0.125. Show the steps of your work. (10 points)

Maximum mark: 145 (100%)