Презентация к уроку по теме "Системы счисления" учебной дисциплины "Иностранный язык в профессиональной деятельности"
презентация к уроку

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Презентация к уроку по теме «Системы счисления» учебной дисциплины «Иностранный язык в профессиональной деятельности» общепрофессионального цикла для специальностей 09.02.07, 09.01.03 Разработал: преподаватель ГБПОУ МО «Дмитровский техникум» СП2 Молоткова О.А.

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Say and write the numbers: 486,905 254,078,317 603,004,525 2) Three hundred and two million and seventy-one thousand four hundred and ten. 3) Seventeen million and fifteen thousand and eight. 4) One hundred and forty million and thirty thousand six hundred

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MATHEMATICAL ACTIONS ADDITION MULTIPLICATION SUBTRACTION DIVISION

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Mathematical actions What mathematical action is it? Do it : twenty-five and thirteen is … Twenty-two from forty-eight is … Fifteen times four is … Sixty-four divided by eight is …

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Answer the questions, please: 1- What system of counting do you usually use? 2- What system of counting are used especially in computers? 3- What is the binary system? 4- What is the decimal system?

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BINERY AND DECIMAL SYSTEMS The binary system – a system of counting that only includes the numbers 0 and 1, used especially in computers. The decimal system is based on the number “ten”.

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Successively divide the number by 2. Write down the remainders in reverse succession. 1 ) Divide 19 by 2 . It gives 9. Put down 18 . Remainder is 1. 2) Divide 9 by 2 . It gives 4. Put down 8 . Remainder is 1. 3) Divide 4 by 2 . It gives 2. Put down 4 . Remainder is 0. 4) Divide 2 by 2 . It gives 1. Put down 2 . Remainder is 0 . 5) Divide 1 by 2 . It doesn’t go. Remainder is 1 . 6) Write down the remainders in reverse succession: 10011. This is binary coded number 19. 19 10011 2 ( on base 2) 19 2 -18 9 2 1 -8 4 2 1 -4 2 2 0 -2 1 2 0 - 0 0 1 remainder - остаток in reverse succession – в обратной последовательности TRANSFORMATION of DECIMAL NUMBER into BYNARY NUMBER

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1- Do yourselves: How many computers can you see ? Give your answer in binary .

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TRANSFORMATION of BYNARY NUMBER into DECIMAL NUMBER 10011 2 4 3 2 1 0 10011 2 = 1 х 2 4 + 0 х 2 3 + 0 х 2 2 + 1 х 2 1 + 1 х 2 0 = 16 + 0 + 0 + 2 +1 = 19 1 multiplied by 2 in fourth power plus 0 multiplied by 2 in third power plus 0 multiplied by (2 in second power)/(squared 2) plus 1 multiplied by 2 in first power plus 1 multiplied by 2 in zero power. The sum is 19. It is decimal number. 2 0 = 1 2 1 = 2 2 2 = 4 2 3 = 8 2 4 = 16 2 5 = 32 2 6 = 64 2 7 = 128 2 8 = 256 2 9 = 512 2 10 = 1024 To transform binary number into decimal: Write down as a sum of powers on base 2 where «1» and «0» of the binary number are coefficients.

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Transform decimal number into binary (say all actions): Seventeen 2- Do yourselves: Transform binary number into decimal (say all actions): 1111 2 01010 2

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MATHEMATICAL ACTIONS WITH BINARY NUMBERS Addition 0 + 0 = 0 0 + 1 = 1 1 + 0 = 1 1 + 1 = 1 0 110 2 + 11 2 1001 2 0 plus 1 is 1. 1 plus 1 is 10. Write 0 and 1 goes to next position. 1 plus 1 is 10. Write 0 and 1 goes to next position. It gives 1001 2 Multiplication 0 x 0 = 0 0 х 1 = 0 1 х 0 = 0 1 х 1 = 1 110 2 x 11 2 110 + 110 10010 2 Multiply 1 by 0. It gives 0 Multiply 1 by 1. It gives 1 Multiply 1 by 1. It gives 1 Multiply 1 by 0. It gives 0 Multiply 1 by 1. It gives 1 Multiply 1 by 1. It gives 1 And do the addition: Put down 0. 1 plus 0 is 1 1 plus 1 is 10. Write 0 and 1 goes to next position. 1 plus 1 is 10. Write 0 and 1 goes to next position. It gives 10010 2

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2 - Solve the problem: Ann’s birthday is on the 11010 2 – th of May. And Kate’s birthday is in 110 2 days. When is Kate’s birthday? Say the date in decimal. 3 – Do yourselves: 1 - Multiply 111 2 by 101 2 ?

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Thank you for your attention