Gray Code To Hexadecimal converter Examples

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Home > Pre-Algebra calculators > Gray code To Hexadecimal conversion example

Gray Code To Hexadecimal converter example ( Enter your problem )

( Enter your problem )

Examples

Other related methods

1. Examples

1. (11100)_{Gray Code} = ( ? )₁₆

Solution:
(11100)_GrayCode = (_______)₁₆

1. Convert GrayCode to binary
Gray code : $11100$

Method-1: (Gray code to Binary)

$b_4=g_4=1$

$b_3=b_4 o+ g_3=1 o+ 1=0$

$b_2=b_3 o+ g_2=0 o+ 1=1$

$b_1=b_2 o+ g_1=1 o+ 0=1$

$b_0=b_1 o+ g_0=1 o+ 0=1$

$:.$ Binary : $10111$

Method-2: (Gray code to Binary)

$g_4$ $1$		$g_3$ $1$		$g_2$ $1$		$g_1$ $0$		$g_0$ $0$	Gray code
$darr$		$darr$		$darr$		$darr$		$darr$
$1$	$rarr$	$0$	$rarr$	$1$	$rarr$	$1$	$rarr$	$1$
$b_4$ $=g_4$		$b_3$ $=b_4 o+ g_3$		$b_2$ $=b_3 o+ g_2$		$b_1$ $=b_2 o+ g_1$		$b_0$ $=b_1 o+ g_0$	Binary code

$:.$ Binary : $10111$

2. Convert binary to hexadecimal
(10111)₂ = (_______)₁₆

0001	0111
1	7

$:.$ (10111)₂ = (17)₁₆

$:.$ (11100)_GrayCode = (17)₁₆

2. (101100)_{Gray Code} = ( ? )₁₆

Solution:
(101100)_GrayCode = (_______)₁₆

1. Convert GrayCode to binary
Gray code : $101100$

Method-1: (Gray code to Binary)

$b_5=g_5=1$

$b_4=b_5 o+ g_4=1 o+ 0=1$

$b_3=b_4 o+ g_3=1 o+ 1=0$

$b_2=b_3 o+ g_2=0 o+ 1=1$

$b_1=b_2 o+ g_1=1 o+ 0=1$

$b_0=b_1 o+ g_0=1 o+ 0=1$

$:.$ Binary : $110111$

Method-2: (Gray code to Binary)

$g_5$ $1$		$g_4$ $0$		$g_3$ $1$		$g_2$ $1$		$g_1$ $0$		$g_0$ $0$	Gray code
$darr$		$darr$		$darr$		$darr$		$darr$		$darr$
$1$	$rarr$	$1$	$rarr$	$0$	$rarr$	$1$	$rarr$	$1$	$rarr$	$1$
$b_5$ $=g_5$		$b_4$ $=b_5 o+ g_4$		$b_3$ $=b_4 o+ g_3$		$b_2$ $=b_3 o+ g_2$		$b_1$ $=b_2 o+ g_1$		$b_0$ $=b_1 o+ g_0$	Binary code

$:.$ Binary : $110111$

2. Convert binary to hexadecimal
(110111)₂ = (_______)₁₆

0011	0111
3	7

$:.$ (110111)₂ = (37)₁₆

$:.$ (101100)_GrayCode = (37)₁₆

This material is intended as a summary. Use your textbook for detail explanation.
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**Number system conversion table from 1 to 15**
Decimal Number Base-10	Binary Number Base-2	Octal Number Base-8	Hexadecimal Number Base-16
1	1	1	1
2	10	2	2
3	11	3	3
4	100	4	4
5	101	5	5
6	110	6	6
7	111	7	7
8	1000	10	8
9	1001	11	9
10	1010	12	A
11	1011	13	B
12	1100	14	C
13	1101	15	D
14	1110	16	E
15	1111	17	F