Conversion between number system Data view methodological_instructions 1 1 varian

Methodological Instructions

Theme: Conversion between number system 2 lesson

Objective: 10.2.1.1 Convert decimal numbers to binary numbers and vice versa

Assessment criteria

·                    Translates numbers from decimal to binary

·                    Translations of the number of one number system to another

Basic Level:

Multiplication table (7-9 grade)

Key words and phrases:

Numeral system, binary, hexadecimal, octal and decimal system alphabet and how translate between numeral systems and vice versa, Numeral system is a ____

Translate number from binary system to decimal system…

I.                   THEORY

A repeated division and remainder algorithm can convert decimal to binary, octal, or hexadecimal.

1.                  Divide the decimal number by the desired target radix (2, 8, or 16).

2.                  Append the remainder as the next most significant digit.

3.                  Repeat until the decimal number has reached zero.

Decimal to Octal

Here is an example of using repeated division to convert 1792 decimal to octal:

Decimal to Hexadecimal

Here is an example of using repeated division to convert 1792 decimal to hexadecimal:

The only addition to the algorithm when converting from decimal to hexadecimal is that a table must be used to obtain the hexadecimal digit if the remainder is greater than decimal 9.

The addition of letters can make for funny hexadecimal values. For example, 48879 decimal converted to hex is:

П. TESTS AND ASSIGNMENTS FOR SELF-ASSESSMENT.

1.      Fill in the table, in each row of which the same integer should be recorded in different number systems.

2.           Convert  1101010111 to the denary numbers.

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3.           Convert  1101010111 to the denary numbers.

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4.           Convert  1101010111 to the denary numbers.

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5.      Write the denary number 108 in binary.

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6.      Write the denary number 300 in binary.

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VISUAL AIDS AND MATERIALS.

1.                  Slides

2.                  Game http://www.4its.ru/ciscogame/binarygame.html

3.                  Introducing binary https://www.bbc.com/bitesize/guides/zwsbwmn/revision/7

4.                  Different number systems http://www.anastasi-shherbakova.narod.ru/p7aa1.html

5.                  Converting Denary to Binary  http://www.zaurtl.ru/UkVT/UKVT6.html

6.                  Converting Binary to n-based system  https://www.youtube.com/watch?v=cPOgHCqecxY

7.                  Abilities of the Calculator program: http://www.compgramotnost.ru/windows-7/kalkulyator-windows-7

8.                  Converting Denary to Binary https://www.youtube.com/watch?v=70lM1qAD5u4

9.                  Denary to Binary: Division https://www.sqa.org.uk/e-learning/CompArch01CD/page_10.htm

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