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`

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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`

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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`

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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`

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