1. (123)₈ = (      ?      )_{Gray Code}

Solution:
(123)₈ = (_______)_GrayCode

1. Convert octal to binary
(123)₈ = (_______)₂

1	2	3
001	010	011

`:.` (123)₈ = (1010011)₂


2. Convert binary to GrayCode
Binary code : `1010011`

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+ 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 : `1111010`

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Method-2: (Binary to Gray code)

`b_6` `1`	`b_5` `0`	`b_4` `1`	`b_3` `0`	`b_2` `0`	`b_1` `1`	`b_0` `1`	Binary code
`b_6` `1`	`b_6 o+ b_5` `1 o+ 0`	`b_5 o+ b_4` `0 o+ 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`	`darr`	`darr`
`1` `g_6`	`1` `g_5`	`1` `g_4`	`1` `g_3`	`0` `g_2`	`1` `g_1`	`0` `g_0`	Gray code

`:.` Gray code : `1111010`

`:.` (123)₈ = (1111010)_GrayCode

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2. (345)₈ = (      ?      )_{Gray Code}

Solution:
(345)₈ = (_______)_GrayCode

1. Convert octal to binary
(345)₈ = (_______)₂

3	4	5
011	100	101

`:.` (345)₈ = (11100101)₂


2. Convert binary to GrayCode
Binary code : `11100101`

Method-1: (Binary to Gray code)
`g_7=b_7=1`

`g_6=b_7 o+ b_6=1 o+ 1=0`

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

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

`g_3=b_4 o+ b_3=0 o+ 0=0`

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

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

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

`:.` Gray code : `10010111`

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Method-2: (Binary to Gray code)

`b_7` `1`	`b_6` `1`	`b_5` `1`	`b_4` `0`	`b_3` `0`	`b_2` `1`	`b_1` `0`	`b_0` `1`	Binary code
`b_7` `1`	`b_7 o+ b_6` `1 o+ 1`	`b_6 o+ b_5` `1 o+ 1`	`b_5 o+ b_4` `1 o+ 0`	`b_4 o+ b_3` `0 o+ 0`	`b_3 o+ b_2` `0 o+ 1`	`b_2 o+ b_1` `1 o+ 0`	`b_1 o+ b_0` `0 o+ 1`
`darr`	`darr`	`darr`	`darr`	`darr`	`darr`	`darr`	`darr`
`1` `g_7`	`0` `g_6`	`0` `g_5`	`1` `g_4`	`0` `g_3`	`1` `g_2`	`1` `g_1`	`1` `g_0`	Gray code

`:.` Gray code : `10010111`

`:.` (345)₈ = (10010111)_GrayCode

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