Homework Assignment 1

Appendix A, Chapter 5

1.

Conversion to Decimal (20) Convert the following numbers to decimal using the most appropriate conversion method. The base is indicated using a subscript (i.e. 6₈ is 6 in base 8).

(a)

165₈

(b)

250₈

(c)

1D2₁₆

(d)

13A8₁₆

(e)

01101101₂

2.

Conversion to Target Base (20) Convert the following numbers to the base indicated.

(a)

2000₈ to binary

(b)

010011101₂ to hexadecimal

(c)

76D6₁₆ to binary

(d)

ABC₁₆ to octal

(e)

7636₈ to hexadecimal

3.

Alternate Number Systems (20) Convert the following numbers to the base indicated.

(a)

3211₄ to decimal

(b)

4323₅ to decimal

(c)

3211₄ to octal

(d)

212₃ to base 9

(e)

CD4F₁₆ to base 4

4.

Addition and Subtraction in Positional Notation (20) Perform the indicated operations using positional notation. Assume that all numbers are positive.

(a)

11011₂ + 101101₂

(b)

704₈ + 230₈

(c)

9A5₁₆ + D17₁₆

(d)

2CF3₁₆ - 2B₁₆

(e)

1000₈ - 777₈

5.

Design Problem (20) Draw the top level block diagram for a digital alarm clock. Include inputs/outputs that are found in a typical alarm clock.