B CUSP 110B – Digital Thinking

Homework 6: Colors and Binary Numbers

Colors And Binary Numbers

Goals: Reading color representations and Practice with Binary/Decimal number representations

Part 1: Color Representation

Dark Gray

Light Gray

Black

White

Red-ish

Green-ish

Blue-ish

Which of the following color representation best describe the above colors?

Floating point representations:

1. (0.3f, 0.3f, 0.3f)

2. (0.8f, 0.8f, 0.8f)

3. (0.2f, 0.2f, 0.9f)

4. (0.2f, 0.9f, 0.2f)

5. (0.9f, 0.2f, 0.2f)

6. (0.0f, 0.0f, 0.0f): Black

7. (1.0f, 1.0f, 1.0f)

Integer representations:

8. (180, 40, 40)

9. (40, 180, 40)

10. (40, 40, 180)

11. (0, 0, 0)

12. (180, 180, 180)

13. (30, 30, 30)

14. (255, 255, 255): White

Part 2: Decimal and Binary representations

A. Convert decimal 125 to binary:

Num Being Converted	125
Place Value	256	128	64	32	16	8	4	2	1
Subtract
Binary Num

B. Convert decimal 387 to binary

Num Being Converted	387
Place Value	256	128	64	32	16	8	4	2	1
Subtract
Binary Num

C. In class we have seen that 1101₂ (read: 1101-base2) has a decimal value of 13. What is the decimal value of

a. 1001₂

b. 100101₂

c. 1101101₂

D. What are the sums for the following binary numbers (hint: convert to decimal to verify your answers), express your answers in binary.

a. 1001₂ + 1001₂

b. 1001₂ + 100101₂

c. 100101₂ + 1101101₂

To Turn In
Use a word processor, or, write neatly, your answers to Part-1 numbers 1 to 14 (answers 6 and 14 are given to you), and Part-II A to D. Provide details and partial credits will be given. Print out and bring your assignment to submit in class on Wednesday. Warning: there is no electronic submission for this assignment! If you miss class, or forget to bring your work on Wednesday, you will receive a zero!

Wrap Up

In this homework assignment you have practice reading (RGB) color representation in both floating point and integer. You have also practiced decimal to binary conversion and performing addition with binary numbers.