[Cs35101] Signed Magnitude Integers

[Dianne Foreback]

Hello Computer Architecture Class:

I've updated today's presentation "Representing Number".   I updated Slide
12 putting in the step numbers as explained in class today.  Also, I
inserted two new slides, slide 21 and 22.  These give more detail on signed
magnitude integers to help with your homework.

Another example follows in this email that shows converting +7 and -7 to a
signed magnitude integer.

Example:  Representing +7  as a signed-Magnitude Integer with 4 bits.
Step1: Convert 7 to a binary number resulting in 111. We can use only 3
bits since the 4th is a sign bit
Step 2:  Attach a 0 as the leftmost bit implying this is a positive number
resulting in 0111.  Notice, if using only 4 bits, 7 is the largest number
that can be represented for a signed magnitude number.

Example:  Representing -7  as a signed-Magnitude Integer with 4 bits.
Step1: Convert 7 (yes, positive 7 or the absolute value of -7) to a binary
number (notice we are not considering the sign yet); this results in 111
just as the above example.   We can use only 3 bits since the 4th is a sign
bit.
Step 2:  Attach a 1 to the leftmost bit implying this is a negative number
resulting in 1111.

Notice, all but the left most bit are the same when representing 7 and -7.
You can think of the leftmost bit as a positive or negative sign.  Again, 0
is a positive and 1 is a negative.


Best,
Dianne
_______________________________________________
Dr. Dianne Foreback, Assistant Professor
Department of Computer Science
Math and Computer Science Building (MSB) 266
P.O. Box 5190, Kent, Ohio 44242-0001, USA
Phone: 330.672.9064
Email: dforebac at kent.edu
_______________________________________________
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