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Binary To Decimal Conversion + One's Compliment and Two's Compliment

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  • Course
  • Introduction to Computer Science (9618)
  • Institution
  • National University Of Science And Technology Pakistan

These notes are comprehensive and to the point. They have all the relative material you need for your exams. They have been compiled from various Textbooks, YouTube Lectures as well as notes from some outstanding teachers from our University. They have complete information with examples.

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Document information

  • March 30, 2023
  • 2
  • 2022/2023
  • Class notes
  • Mr. martin adams
  • All classes

Subjects

  • computer science
  • binary conversion
  • twos compliment
  • ones compliment
  • university computer science

Written for

  • National University Of Science And Technology Pakistan
  • Introduction to Computer Science (9618)
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Binary To Decimal Conversion
It is fairly straightforward to change a binary number into a denary number. Each time a
1 appears in a column, the column value is added to the total. For example, the binary
number above is:128 + 64 + 32 + 8 + 4 + 2 = 238 (denary)
The 0 values are simply ignored when calculating the total. The reverse operation –
converting from denary to binary – is slightly more complex. There are two basic ways
of doing this. Consider the conversion of the denary number, 107, into binary.


Method 1: -
This method involves placing 1s in the appropriate position so that the total equates to


128 64 32 16 8 4 2 1
0 1 1 0 1 0 1 1




Method 2: -
This method involves successive division by 2; the remainders are then written from
bottom to top to give the binary value.

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