
15Number Systems
(3) A general formula to get the total N is as under with only w
0
changed:
N = y
pmax 1
x
w
p
8
max 1
+ y
p max 2
x
w
p
8
max2
+
y
p max 3
x
w
p
8
max 3
+
L
+
y2
x
w
8
2
+ y
1
x
w
8
1
+
y
0
x
w
8
0
...(2.7)
where a place p = p max 1, p max 2, pmax 3, ..., 2, 1 and 0, and pmax is maximum the
number of places used in the representation and w
8
= 8. The y
0
, y
1
, y
2
, ... are the digits with
each digit is either 0 or 1 or 6 or maximum 7, at the right-most, left first from that, left second
from that and so on.
2.5 USE OF DECIMAL NUMBERS TO REPRESENT A NUMBER
A decimal number is a number based upon ten values 0, 1, 2, 3, 4, 5, 6, 7, 8 and 9.
Let us assume