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Home > Pre-Algebra calculators > Gray code To Binary conversion example
Gray Code To Binary converter example ( Enter your problem )
( Enter your problem )
  1. Examples
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1. Examples


1. (11100)Gray Code = (      ?      )2

Solution:
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. (101100)Gray Code = (      ?      )2

Solution:
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`

This material is intended as a summary. Use your textbook for detail explanation.
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