Conversions of decimal to binary number                      http://improvec.blogspot.in/   1
ObjectiveOn completion of this period, you would beable to know:   Conversion of a decimal number to    equivalent binary...
RecapVarious number systems used in digital computer      http://improvec.blogspot.in/   3
Conversions from oneNumber System to other      http://improvec.blogspot.in/   4
Conversion from decimal to binary  The integer and fractional parts of the decimal  number are dealt separately. The deci...
Conversion of decimal to binary The quotient and remainder are noted down at  each stage. The present quotient is again ...
Conversion from decimal to binaryInteger part: Divide the integer part of the given decimal  number repeatedly by 2. And...
Fractional part: The fractional part of the given decimal  number is multiplied repeatedly by 2, each  time recording the...
Fractional part (contd) : This process is continued until the fraction  becomes zero                          (or)  until...
Convert the decimal number 125 to binary.       division        125     remainder   2     62       1   2     23       0   ...
Convert the decimal number 0.4375 to                binary.   Multiplication         Product               Integral part  ...
Convert the decimal number 17.35 to binary.       Division   Remainders       2 17       2 8        1       2 4        0  ...
Fractional part:Multiplication               Product             Integral part   0.35*2                        0.70       ...
SummaryIn this class, we have learnt about           Conversion from decimal numbering            system to binary number...
Frequently Asked Questions1. Explain the procedure to convert a decimal   number into binary number?2. Convert the decimal...
Quiz:1. The base of binary system is  a. 10  b. 2  c. 8  d. 16Answer: b                   http://improvec.blogspot.in/   16
Quiz:2. What is the binary equivalent of 10  a. 1000  b. 1011  c. 1010  d. 1111Answer: c                    http://improve...
Quiz:3. What is the binary equivalent of 125  a. 1111101  b. 1111001  c. 1101101  d. 1111111Answer: a                    h...
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Dec to bin.20

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Dec to bin.20

  1. 1. Conversions of decimal to binary number http://improvec.blogspot.in/ 1
  2. 2. ObjectiveOn completion of this period, you would beable to know: Conversion of a decimal number to equivalent binary http://improvec.blogspot.in/ 2
  3. 3. RecapVarious number systems used in digital computer http://improvec.blogspot.in/ 3
  4. 4. Conversions from oneNumber System to other http://improvec.blogspot.in/ 4
  5. 5. Conversion from decimal to binary The integer and fractional parts of the decimal number are dealt separately. The decimal number is divided by 2 successively. http://improvec.blogspot.in/ 5
  6. 6. Conversion of decimal to binary The quotient and remainder are noted down at each stage. The present quotient is again divided by 2 and repeat the above step. This process is repeated until the quotient becomes 0. http://improvec.blogspot.in/ 6
  7. 7. Conversion from decimal to binaryInteger part: Divide the integer part of the given decimal number repeatedly by 2. And write down the remainder after each division. The remainders are then taken in reverse order (bottom to top) to form binary equivalent to the number http://improvec.blogspot.in/ 7
  8. 8. Fractional part: The fractional part of the given decimal number is multiplied repeatedly by 2, each time recording the carry (integer part). The integers are then taken in forward order (top to bottom) to form the binary equivalent of the number. http://improvec.blogspot.in/ 8
  9. 9. Fractional part (contd) : This process is continued until the fraction becomes zero (or) until sufficient accuracy is obtained. http://improvec.blogspot.in/ 9
  10. 10. Convert the decimal number 125 to binary. division 125 remainder 2 62 1 2 23 0 2 15 1 2 7 1 2 3 1 2 1 1 0 1 Thus (125)10 = (1111101)2 http://improvec.blogspot.in/ 10
  11. 11. Convert the decimal number 0.4375 to binary. Multiplication Product Integral part 0.4375*2 0.8750 0 0.8750*2 1.75 1 0.75*2 1.50 1 0.5*2 1.00 1Taking the integers parts in the forward (top tobottom) gives the binary fraction 0.0111. Thus (0.4375)10= (0.0111)2 http://improvec.blogspot.in/ 11
  12. 12. Convert the decimal number 17.35 to binary. Division Remainders 2 17 2 8 1 2 4 0 2 2 0 2 1 0 2 0 1 http://improvec.blogspot.in/ 12
  13. 13. Fractional part:Multiplication Product Integral part 0.35*2 0.70 0 0.70*2 1.40 1 0.40*2 0.80 0 0.80*2 1.60 1 0.60*2 1.20 1 0.20*2 0.40 0 Thus (17.35)10= (10001.010110.......)2 http://improvec.blogspot.in/ 13
  14. 14. SummaryIn this class, we have learnt about Conversion from decimal numbering system to binary numbering system http://improvec.blogspot.in/ 14
  15. 15. Frequently Asked Questions1. Explain the procedure to convert a decimal number into binary number?2. Convert the decimal real number 12.625 8 into equivalent binary real number? http://improvec.blogspot.in/ 15
  16. 16. Quiz:1. The base of binary system is a. 10 b. 2 c. 8 d. 16Answer: b http://improvec.blogspot.in/ 16
  17. 17. Quiz:2. What is the binary equivalent of 10 a. 1000 b. 1011 c. 1010 d. 1111Answer: c http://improvec.blogspot.in/ 17
  18. 18. Quiz:3. What is the binary equivalent of 125 a. 1111101 b. 1111001 c. 1101101 d. 1111111Answer: a http://improvec.blogspot.in/ 18

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