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


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`

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
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`

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

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