Binary To Gray Code converter Examples

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

Binary To Gray Code converter example ( Enter your problem )

( Enter your problem )

Examples

Other related methods

1. Examples

1. (10011)₂ = ( ? )_{Gray Code}

Solution:
Binary code : $10011$

Method-1: (Binary to Gray code)

$g_4=b_4=1$

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

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

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

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

$:.$ Gray code : $11010$

Method-2: (Binary to Gray code)

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

$:.$ Gray code : $11010$

1. (1011001)₂ = ( ? )_{Gray Code}

Solution:
Binary code : $1011001$

Method-1: (Binary to Gray code)

$g_6=b_6=1$

$g_5=b_6 o+ b_5=1 o+ 0=1$

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

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

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

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

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

$:.$ Gray code : $1110101$