Dec to bin.20
Upcoming SlideShare
Loading in...5
×
 

Dec to bin.20

on

  • 314 views

 

Statistics

Views

Total Views
314
Views on SlideShare
310
Embed Views
4

Actions

Likes
0
Downloads
0
Comments
0

2 Embeds 4

http://improvec.blogspot.in 3
http://improvec.blogspot.com 1

Accessibility

Categories

Upload Details

Uploaded via as Microsoft PowerPoint

Usage Rights

© All Rights Reserved

Report content

Flagged as inappropriate Flag as inappropriate
Flag as inappropriate

Select your reason for flagging this presentation as inappropriate.

Cancel
  • Full Name Full Name Comment goes here.
    Are you sure you want to
    Your message goes here
    Processing…
Post Comment
Edit your comment

Dec to bin.20 Dec to bin.20 Presentation Transcript

  • 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 http://improvec.blogspot.in/ 2
  • 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 decimal number is divided by 2 successively. http://improvec.blogspot.in/ 5
  • 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
  • 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
  • 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
  • Fractional part (contd) : This process is continued until the fraction becomes zero (or) until sufficient accuracy is obtained. http://improvec.blogspot.in/ 9
  • 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
  • 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
  • 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
  • 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
  • SummaryIn this class, we have learnt about Conversion from decimal numbering system to binary numbering system http://improvec.blogspot.in/ 14
  • 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
  • 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://improvec.blogspot.in/ 17
  • Quiz:3. What is the binary equivalent of 125 a. 1111101 b. 1111001 c. 1101101 d. 1111111Answer: a http://improvec.blogspot.in/ 18