Microcomputer Data Specification

MPU-20
Number Systems
Everyone is quite familiar with the base 10 number system i.e. 0, 1,
2, 3, 4, 5, 6, 7, 8, & 9, since this is the system we all use day to day. Let
us review a typical number, say 2743, and see what it really means. The least
significant digit (LSD) is 3 and the most significant digit (MSD) is 2. Since
we are talking about a base 10 number, the number 2743 really is
= 3x10
0
+ 4x10
1
+ 7x10
2 +
2x10
3
= 3x1 + 4x10 + 7x100 + 2x1000
= 3 + 40 + 700 + 2000
= 2743.
In digital computers, base 10 numbers are represented in binary
form, i.e. 1's & 0's. Lets take a base 10 number and convert it to a binary
(base 2) number. A method of doing this is known as "repeated division by ?".
The base 10 number of 47 is converted to binary as shown below:
23
2 47 R=1
11
2 23 R=1
5
2 11 R=1
2
2 5 R=1 101111
2
2
2 2 R=0
0
2 1 R=1
Converting 101111
2
back to our base 10 number is done in the same
manner as above