ECE 2110: Introduction to Digital
Systems
Number Systems: signed numbers
Previous class Summary
Unsigned addition/subtraction
2
Signed Integer Representation
We have been ignoring large sets of numbers so far; ie. the sets of
signed integers, fractional n

ECE 2110: Introduction to Digital
Systems
Signed Number Conversions
Previous class Summary
Signed-magnitude, twos complement,
ones complement
Different for negatives numbers
Representations of positive numbers are
SAME.
0 may have different representation

Here is your cheat sheet to help you remember what to do with positive and negative numbers
(integers) with adding, subtracting, multiplying and dividing.
Time Required: 20 Minutes & Practice
Here's How:
Adding Rules:
Positive + Positive = Positive: 5 + 4

Denary to Binary: Division
This method uses the remainder when successively dividing by two to convert the
number. For example:
1. 141 divided by 2 is 70 remainder 1
2. 70 divided by 2 is 35 remainder 0
3. 35 divided by 2 is 17 remainder 1
4. 17 divided b

Arithmetic Operations on Binary Numbers
Because of its widespread use, we will concentrate on addition and subtraction for Two's
Complement representation.
The nice feature with Two's Complement is that addition and subtraction of Two's
complement numbers

ALL ABOUT INTEGER REPRESENTATION. (Binary)
-Computers operate on binary values (as a result of being built from
transistors).
there are different binary representations for integers
possible qualifications:
1. positive numbers only
2. positive and negativ