Atari XL - Page 239

Numbering Systems
227
is the largest number we can store In a single
memory location.
As a further example, let's take the decimal
number 170. To find its binary representation, we
continuously divide by two, and the remainder
becomes a bit in the binary number.
170/2
85/2
42/2
21/2
10/2
5/2
2/2
1/2
85
42
21
10
= 5
2
1
o
remainder
o
1
o
1
o
1
o
1
gi ving us the binary number
10101010 (reading upwards)
ADDITION OF BINARY NUMBERS
Binary numbers can be added together in the same
way as decimal numbers. An example will make
this clear. .
To perform the sum:
105
+ 19
124
we add up the digits in each column to form that
digit of the answer. If the result of this addition is
greater than 9, we generate a carry into the next
column. This principle also applies to binary
numbers. Let's perform the same calculation with
the binary forms of 105 and 19: