The output in Boolean algebra must either be a 1 or a 0 to be compatible with the binary number system requirements (Sharma, 2007). Starting with addition of the base numbers; 0 + 0= 0 0 + 1 = 1 1 + 0 = 1 1 + 1 = 1 While the first three additions are identical to the results that adding the integers would make, the last one is contrary to the expected result. The result is because the ideal result of 2 would be beyond the limit of the results expected in a binary system. Boolean method uses an elimination method that determines that an addition of 1+1 would not be zero implying that the result then shifts to 0. The addition in Boolean algebra of 0 + 1 + 1 = 1 1 + 1 + 1 = 1 corresponds to an OR gate that is represented in a parallel switches. The Boolean algebra is also used to demonstrate the AND and NOT gates represented by multiplication and complementation. My questions In which other name is Boolean algebra referred as? What is referred to as binary…
At this point, the majority of people use base-10 for their math. The base of a number system refers to the number of number symbols used in that system. In base 10 the numbers used are 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9. Humans use this system because it shortens numbers. Humans have 10 fingers so it is logical that base-10 counting systems developed naturally. But computers do not have the ability to deal with large bases. Because traditional computers use transistors and logic gates to operate,…
Development of place value Place value and the ten-base system are important foundations of later mathematical concepts. The development of these concepts takes years and is built upon pre-number and early number development. Therefore, the development of place value and understanding of the ten-base system needs to be understood in relation to early concepts. Classifying and patterning are elements of pre-number development that need to be developed as part of numeracy. Classifying helps…
This summer I built the classic puzzle game Bejeweled, and abstract strategy games English Draughts and Chess. I did this because I am a big fan of all three of these games, and I wanted to challenge myself by implementing the game logic. Also during the summer I started learning android. The app that I built that I am most proud of is a calculator that works in sixty different numeral systems from base 2 to base 62. I started the project making a calculator that uses hexadecimal instead of…
numerous ways in which fractions are connected in the method of dividing. Displaying division problems with physical materials an/or diagrams can help make sense of division that involves fractions (AAMT, 2016). Teaching and learning fractions effectively is essential as it forms the foundation needed to understand future mathematical topics. By getting hands on, using visuals and learning through games, educators can give students an increased motivation towards fractions, supporting the…
Fibonacci grew up in North Africa and was educated by Moors who were African Muslims of Berber and Arab descent. He met with numerous merchants and learned their systems of computing arithmetic, and soon realized the various advantages of the Hindu-Arabic system over all the other systems. Fibonacci was one of the first people to introduce the Hindu-Arabic number system into Europe. It was the positional system that we currently use today based on ten digits with its decimal point and most…
In fourth grade various new math ideas are presented and many students can face difficulties when new material is introduced. Difficulties are especially displayed when it comes to discovering decimals. Although decimals are introduced in fourth grade they are continuously presented in math thereafter. One common misconception held about decimals is the idea that the more digits that are presented in a number, the greater the value of the number. An example of this is students believing that 3…
Part B Diagnostic Assessment During the diagnostic assessment which focused on grade three student, Boris’s comprehension of number placement and value, Boris did well in most areas, with minimal exceptions. Boris took a great deal of time, when requested to partition the double digit the number. Though they progressed to partitioning the larger numbers in a standard and acceptable non-standard manner, they answered the two digit partitioning question with various multiplication equations.…
different artists. It shows that I bought it from 3 different people. • If (Option 1==Option 2) If the values are the same, then it is true. If they are different, then it is false. • Usernames are an example of string data type. Integer A data type which consists of a whole number. Examples would be numbers 1-10. • Addition, subtraction, multiplication, division are examples when integer data types are used. When the integer is added, subtracted, multiplied or divided, the result is an…
used mathematical concepts in their culture. Studying the evidence left behind by these people allow us to understand their number systems and their understanding and use of simple arithmetic concepts. Introduction Egyptians and Babylonians are groups of people who both developed mathematical concepts on their own societies. We can learn much from their ways of thinking by the evidence that was left from them. Egyptians are famous for their hieroglyphics which…