Daily Sprint1) A water tank is filled with 2000 gallons of

water. Each day, 4% of the water evaporates. No water is added to the tank. To the nearest gallon, which list best represents the water levels in the tank for the first five days?

A) 2000, 1920, 1840, 1760, 1680B) 2000, 1920, 1843, 1769, 1698C) 2000, 1992, 1984, 1976, 1968D) 2000, 1996, 1992, 1988, 1984

(show your work)

START

Design Squad

1. Pull out a blank sheet of paper

2. Fold the sheet into 4 quadrants

3. Label the boxes on the front 1 – 4

4. Label the boxes on the back 5 – 8

5. Write one step of the design process in each box (1-8)

6. As we watch the video, fill in notes for each step you see being performed.

(If I see good work, you will receive extra credit)

Logic Gates

Logic Gates

• Digital Signals

• Logic Gates

• NOT (Inverter) Gate

• AND Gate

• OR Gate

• NAND Gate

• NOR Gate

Digital SignalsDigital signals 0 (false) or 1 (true)

Digital signal 1 is represented by a small voltage.

Digital signal 0 is represented by no voltage.

Digital Waveforms

Each column represents a small amount of time

1 (3V)

0 (0V)

1 0 0 1 0 1 1 0

Logic GatesAn electronic system that performs

a logical operation on an input signal

Gates process digital inputs to produce digital outputs.

How do computer processors make decisions? How do they do math? Display images? Etc.?

LOGIC

10

NOT (Inverter) Gate

A logic gate that changes its input logic level to the opposite state

Symbol

01Truth Table: A table listing all possible inputs to a circuit and the corresponding outputs

Truth Table

NOT Gate

Input (A) Output (Y)

A Y

0 1

1 0

Logic Word Problems

• If I am hungry and it is 5:00 p.m., then I will eat dinner.

• If I pedal harder or go downhill, then my bike will go faster.

• If it is windy and cold, then I am not going to walk home.

• If my battery is dead or I forget headphones, then I cannot listen to my music.

Each word problem uses the same logic as a common gate.

AND Gate

If I am hungry AND it is 5:00 p.m., then I will eat dinner.

A logic circuit whose:Inputs both = 1 then,Output = 1Symbol

10 001 011 100 0

AND Gate

Truth Table

AND Gate

Input (A) Input (B) Output (Y)

A

B

0 00

Y

0 01

1 00

1 11

OR Gate

If I pedal harder OR go downhill, then my bike will go faster.

A logic circuit when:Either Input = 1 then,Output = 1Symbol

00 010 101 111 1

OR Gate

Truth Table

OR Gate

Input (A) Input (B) Output (Y)

A

B

0 00

Y

0 11

1 10

1 11

NAND Gate

If it is windy AND cold, then I am NOT going to walk home.

A logic circuit whose:Inputs both = 1 then,Output = 0Symbol

00 110 101 111 0

NAND Gate

Truth Table

NAND Gate

Input (A) Input (B) Output (Y)

A

B

0 10

Y

0 11

1 10

1 01

NOR Gate

If my battery is dead OR I forget headphones, then I will NOT listen to my music.

A logic circuit when:Either Input = 1 then,Output = 0Symbol

00 110 001 011 0

NOR Gate

Truth Table

NOR Gate

Input (A) Input (B) Output (Y)

A

B

0 10

Y

0 01

1 00

1 01

Logic Gates

• Digital Signals

• Logic Gates

• NOT (Inverter) Gate

• AND Gate

• OR Gate

• NAND Gate

• NOR Gate

Image Resources

Microsoft, Inc. (2008). Clip Art. Retrieved September 10, 2008, from http://office.microsoft.com/en-us/clipart/default.aspx