Answered! How real numbers can be encoded using a fixed precision binary encoding explain briefly….

How real numbers can be encoded using a fixed precision binary encoding explain briefly.

Expert Answer

 Sign-magnitude representation:
  • The most-significant bit (msb) is the sign bit, with value of 0 representing positive integer and 1 representing negative integer.
  • The remaining n-1 bits represents the magnitude (absolute value) of the integer. The absolute value of the integer is interpreted as “the magnitude of the (n-1)-bit binary pattern”.
  • Example:
  • Convert 18.6875D to binary
    Integral Part = 18D
      18/2 => quotient=9 remainder=0
      9/2  => quotient=4 remainder=1
      4/2  => quotient=2 remainder=0
      2/2  => quotient=1 remainder=0
      1/2  => quotient=0 remainder=1 (quotient=0 stop)
      Hence, 18D = 10010B
    Fractional Part = .6875D
      .6875*2=1.375 => whole number is 1
      .375*2=0.75   => whole number is 0
      .75*2=1.5     => whole number is 1
      .5*2=1.0      => whole number is 1
      Hence .6875D = .1011B
    Therefore, 18.6875D = 0 10010.1011B

Don't use plagiarized sources. Get Your Custom Essay on
Answered! How real numbers can be encoded using a fixed precision binary encoding explain briefly….
GET AN ESSAY WRITTEN FOR YOU FROM AS LOW AS $13/PAGE
Order Essay
Still stressed from student homework?
Get quality assistance from academic writers!