Problem Set 1

For problems that involve calculations show all your work.

Chapter 9

9.1 Count from 1 to 20 in the number bases shown below.

For base 2 use a space between hextets.

Base 10	Base 16	Base 8	Base 4	Base 2		Base 10	Base 16	Base 8	Base 4	Base 2
1						11
2						12
3						13
4						14
5						15
6						16
7						17
8						18
9						19
10						20

9.2 Show the decimal number 0.32 in binary fixed-point notation using 7 bits of precision before and after rounding. Show how each bit was calculated.

9.3 Convert each binary answer from the previous problem to a decimal number. Show all your work.

9.4 Convert the following binary numbers to base 10.

Binary	Base 10
1 1100.011
10 1010 1010.1

9.5 Convert the following base 10 numbers to binary.

For each conversion have a space between hextets.

Base 10	Binary
34.75
25.25

Chapter 10

10.1 Use 16 bits to represent each of the values below in sign magnitude and twos complement representation.

For each conversion show all 16 bits and have a space between hextets.

Value	Sign Magnitude	Twos Complement
256
-61

10.2 Perform the following subtraction using tens complement arithmetic.

65,876

-32,987

??,???

10.3 Convert the base 10 number -9.375 to binary and show the result using the single precision IEEE Standard.

In each field have a space between hextets.

Base 10	Sign	Exponent	Significand
-9.375