
Number System | 2.19
On combining 30 bits of binary number, 1G (Giga)
21073741824 10
30-bit
binary words are obtained.
On combining 40 bits of binary number, 1T (Tera) =⇔ ×21099511627 776 10
40 12
40-bit binary words are obtained.
2.2.1 | Binary to Decimal Conversion
A binary number can be converted to decimal by the positional weights method. Each digit
of the number is multiplied by its position weight, d
n
n
×
−
2
1
and the product terms are
added to nd the decimal number. Mathematically, it is represented by:
Nd d
i
i
i
n
j
j
j
m
(
)
=+
−
=
−
−
=
10
1
(2.5)
where d
i
is i
th
digit of integer portion in binary number.
i is the position of binary ...