Questions. Day 10

What is a multimeter?

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What is the difference among BINARY, HEXADECIMAL, and DECIMAL?

Binary: “In mathematics and computer science, the binary numeral system, or base-2 numeral system, represents numeric values using two symbols: typically 0 and 1. More specifically, the usual base2 system is a positional notation with a radix of 2. Numbers represented in this system are commonly called binary numbers. Because of its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used internally by almost all modern computers and computer-based devices such as mobile phones.”

http://en.wikipedia.org/wiki/Binary_number

Hexadecimal: “In mathematics and computer sciencehexadecimal (also base 16, or hex) is a positional numeral system with a radix, or base, of 16. It uses sixteen distinct symbols, most often the symbols 09 to represent values zero to nine, and A, B, C, D, E, F (or alternatively af) to represent values ten to fifteen. “

http://en.wikipedia.org/wiki/Hexadecimal

Decimal: 

The decimal numeral system (also called base ten or occasionally denary) has ten as its base. It is the numerical base most widely used by modern civilizations.[1][2] Decimal notation often refers to a base-10 positional notation such as the Hindu-Arabic numeral system; however, it can also be used more generally to refer to non-positional systems such as Roman or Chinese numerals which are also based on powers of ten. Decimals also refer to decimal fractions, either separately or in contrast to vulgar fractions. In this context, a decimal is a tenth part, and decimals become a series of nested tenths. There was a notation in use like ‘tenth-metre’, meaning the tenth decimal of the metre, currently an Angstrom. The contrast here is between decimals and vulgar fractions, and decimal divisions and other divisions of measures, like the inch. It is possible to follow a decimal expansion with a vulgar fraction; this is done with the recent divisions of the troy ounce, which has three places of decimals, followed by a trinary place.

http://en.wikipedia.org/wiki/Decimal
What is the difference between inductive and deductive logic?

“Inductive reasoning  is reasoning in which the premises seek to supply strong evidence for (not absolute proof of) the truth of the conclusion. While the conclusion of a deductive argument is supposed to be certain, the truth of an inductive argument is supposed to be probable, based upon the evidence given.”

http://en.wikipedia.org/wiki/Inductive_logic

What did you think about Honors Academy, Exploratory Math?

I think that it was a great experience 

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What I learned today. Day 9

We researched in our groups about Graph Coloring and Game Tree. Then in our groups we used arduino and did our city planning.

7711.SouthAmerica.png-550x0

Questions. Day 9

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Write down your strategy for solving the Traveling Sales Person’s problem.

What is a Karnaugh Map?

” is a method to simplify boolean algebra expressions. The required boolean results are transferred from a truth table onto a two-dimensional grid where the cells are ordered in Gray code, and each cell position represents one combination of input conditions, while each cell value represents the corresponding output value. Optimal groups of 1s or 0s are identified, which represent the terms of a canonical form of the logic in the original truth table.[1] These terms can be used to write a minimal boolean expression representing the required logic.” http://en.wikipedia.org/wiki/Karnaugh_map

220px-K-map_6,8,9,10,11,12,13,14_anti-race.svg

What are examples of things that are digital and analog?

Digital:

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Analogimages (1)

What is the difference between digital and analog?

What does 1011101010001 in binary equal in normal numbers (we did not cover this in class)?

What is a game tree?

” is a directed graph whose nodes are positions in a game and whose edges are moves. The complete game tree for a game is the game tree starting at the initial position and containing all possible moves from each position; the complete tree is the same tree as that obtained from the extensive-form game representation.” http://en.wikipedia.org/wiki/Game_tree

Give an example of an Game Tree?

alphabeta

Why do computers use Game Trees?

What I learned today. Day 8

Today in new groups we used arduino,  and turned on many LEDs and did many circuits. In the afternoon I learnt the difference between analog and digital. Then we learnt about karnaugh maps and after, we started doing our city planning in our groups.

analog clockmaarten-baas-digital-2_sq

Questions about what I learned today. Day 7-8

Use this website to make

 ~(p ^ q) v (~p v ~q)

 https://dl.dropboxusercontent.com/u/3235343/Teaching/Logicly.swf

TAKE A SCREEN SHOT OF THIS

Captura

You used 2 chips yesterday, find them and link them to your post. What is the name of the 2 chips that seem most like the ones you used yesterday: http://www.skot9000.com/ttl/

74LS08, Quad 2-Input AND Gate

Captura1

74LS32, Quad 2-Input OR Gate

Captura2

What is a truth table?

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What is Demorgan’s Law?

 “are a pair of transformation rules that are both valid rules of inference. The rules allow the expression of conjunctions and disjunctions purely in terms of each other via negation.”

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d0c9ab32c6729224e3c7139ee2cd8e7e

What is Ohm’s Law?

 “states that the current through a conductor between two points is directly proportional to the potential difference across the two points. Introducing the constant of proportionality, the resistance,[1] one arrives at the usual mathematical equation that describes this relationship”

arfsdyhrse

What is double implication?

 “P <-> Q means that P and Q are    equivalent. So the double implication is true if P and   Q are both true or if P and Q are both false;   otherwise, the double implication is false.”

truth-tables15

What is an adjacency matrix?

“In mathematics and computer science, an adjacency matrix is a means of representing which vertices (or nodes) of a graph are adjacent to which other vertices. Another matrix representation for a graph is the incidence matrix.”

What I learned today. Day 7

Today we learned about computer language and how computers think. We learned about double implication and traveling sales person. Then in our groups we worked with the arduinos and we lighted up 2 leds and used 2 chips.

arduino_mega_iso2_800

Questions. Day 6

What is an assembler?

“An assembler creates object code by translating assembly instruction mnemonics into opcodes, and by resolving symbolic names for memory locations and other entities.[1] The use of symbolic references is a key feature of assemblers, saving tedious calculations and manual address updates after program modifications. Most assemblers also include macro facilities for performing textual substitution—e.g., to generate common short sequences of instructions as inline, instead of called subroutines.”

What is an Arduino?

Arduino is a single-board microcontroller, intended to make the application of interactive objects or environments more accessible.[1] The hardware consists of an open-source hardware board designed around an 8-bit Atmel AVR microcontroller, or a 32-bit Atmel ARM. Pre-programmed into the on-board microcontroller chip is a boot loader that allows uploading programs into the microcontroller memory without needing a chip (device) programmer.”

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What is the Traveling Sales Person Problem? (we did not cover this in class)

What is Pre-Fix notation?

Pre-Fix noptation is a way to write down equations, when this is used parenthesis are not needed. Example + 3 4

What are the leaves of a binary tree?

What is a complete graph?

What is a Finite State Machine (FSM)?

What I learned today. Day 6

Today in the morning I did  a graph with the countries of South America and we had to use the least amount of colours. Then, we started using arduinos and we watched a video that said many ways that it can be used for. Then in groups we lighted a led with the arduino. Image

Questions about what we learned today. Day 4

What is a pixel? How does it work? Why do we use it?
A grid of small dots in a computer are called pixels. Pixels are used to make a picture or letters.
What is a compound probability? What is the equation?
It is when 2 events are combined.P (A or B) = P (A) + P (B) – P (A and B)
Give an example of a mutually exclusive compound probability.
Coin flip
What does mutually exclusive mean? How is it different? Give an example of one that is and one that is not.
2 events are mutually exclusive if they can not occur at the same time. They are different because mutually exclusive events can’t happen at the same time and not exclusive events can happen at the same time. Coin flip is mutually exclusive and robers problem is not exclusive.
What is a Venn Diagram?
It is a diagram that shows the relations between one event and the other.
What is a Hexaflexagon?