# Section2.4Exercises

##### 1

Referring to Equation (2.3.3), what are the values of $r\text{,}$ $n$ and each $d_{i}$ for the decimal number $29458254\text{?}$ The hexadecimal number $\hex{29458254}\text{?}$

##### 2

Convert the eight-digit binary number $\binary{1010} \; \binary{0101}$ to decimal.

##### 3

Convert the following 8-bit binary numbers to decimal by hand:

1. $\binary{1010} \; \binary{1010}$

2. $\binary{0101} \; \binary{0101}$

3. $\binary{1111} \; \binary{0000}$

4. $\binary{0000} \; \binary{1111}$

5. $\binary{1000} \; \binary{0000}$

6. $\binary{0110} \; \binary{0011}$

7. $\binary{0111} \; \binary{1011}$

8. $\binary{1111} \; \binary{1111}$

##### 4

Convert the following 16-bit binary numbers to decimal by hand:

1. $\binary{1010} \; \binary{1011} \; \binary{1110} \; \binary{1101}$

2. $\binary{0001} \; \binary{0011} \; \binary{0011} \; \binary{0100}$

3. $\binary{1111} \; \binary{1110} \; \binary{1101} \; \binary{1100}$

4. $\binary{0000} \; \binary{0111} \; \binary{1101} \; \binary{1111}$

5. $\binary{1000} \; \binary{0000} \; \binary{0000} \; \binary{0000}$

6. $\binary{0000} \; \binary{0100} \; \binary{0000} \; \binary{0000}$

7. $\binary{0111} \; \binary{1011} \; \binary{1010} \; \binary{1010}$

8. $\binary{0011} \; \binary{0000} \; \binary{0011} \; \binary{1001}$

##### 5

Develop an algorithm to convert hexadecimal to decimal, and then convert the following 16-bit numbers to decimal by hand:

1. $\hex{a000}$

2. $\hex{ffff}$

3. $\hex{0400}$

4. $\hex{1111}$

5. $\hex{8888}$

6. $\hex{0190}$

7. $\hex{abcd}$

8. $\hex{5555}$