Basic Electrical and Electronics Engineering: Unit IV: Digital Electronics
Conversion of Hexadecimal to any other Radix System
with Solved Example Problems
Before going to conversion between binary, octal and hexadecimal. We see the number of digits in serval number system.
CONVERSION
OF HEXADECIMAL TO ANY OTHER RADIX SYSTEM
Hexadecimal to Binary Number System
Before
going to conversion between binary, octal and hexadecimal. We see the number of
digits in serval number system. It is shown in Table 4.1.
Conversion
from hexadecimal to binary each digit of the hexadecimal number is individually
convert to its binary equivalent to get hexadecimal to binary conversion of the
number.
Problem: 15
(4A8)16 convert to
binary number system.
(Refer the table 4.1)
Binary
number = (010010101000)2
(4A8)16
= (10010101000)2
Problem: 16
(6B2.A3)16
to binary number system.
Binary
number = (011010110010.10100011)2
(6
B2. A3)16 = (11010110010.10100011)2
Problem: 17
(A44.21)16 convert to
binary number system.
(A44.21)16
= (10100100 0100. 0010 0001)2
Hexadecimal to Octal Conversion
The
following steps to convert hexa decimal to octal
(i)
convert hexe decimal to binary number
(ii)
then convert binary to octal number system
Problem: 18
Convert (2A)16 to octal
number system.
Step (i)
Step (ii)
Separate
3 digit from left side, the above binary number
(2A)16
⇒ (52)8
Problem: 19
Convert (3AC.27)16 to
octal number system.
Step (i)
Binary
number = 001,110, 101,100: 0010 0111
001,
110, 101, 100. 001, 001, 110
(1654.116)8
(3AC.
27)16 ⇒
(1654.116)8
Hexadecimal to Decimal Conversion
Problem: 20
Convert the hexadecimal number
(2AC5)16 to decimal number system.
(2AC5)16
= 2 × 163 + 10 × 162 + 12 × 161 + 5 × 160
=
8192 + 2560 + 192 + 5
=
10949
(2AC5)16
= (10949)10
Problem: 20
Convert the hexadecimal number
(2AC5)16 to decimal number system.
(2AC5)16
= 2 × 163 + 10 × 162 + 12 × 161 + 5 × 160
=
8192 + 2560 + 192 + 5
=
10949
(2AC5)16
= (10949)10
Problem: 21
Convert the hexadecimal number
(B42)16 to decimal number system.
(B42)16
= 11 × 162 + 4 × 161 + 2 × 160
=
2816 + 64 + 2
(B42)16
= (2882)10
Basic Electrical and Electronics Engineering: Unit IV: Digital Electronics : Tag: : with Solved Example Problems - Conversion of Hexadecimal to any other Radix System
Basic Electrical and Electronics Engineering: Unit IV: Digital Electronics
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