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`
Method-2: (Binary to Gray code)`b_6`
`1` | `b_5`
`0` | `b_4`
`1` | `b_3`
`1` | `b_2`
`0` | `b_1`
`0` | `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+ 1` | `b_3 o+ b_2`
`1 o+ 0` | `b_2 o+ b_1`
`0 o+ 0` | `b_1 o+ b_0`
`0 o+ 1` | | | `darr` | `darr` | `darr` | `darr` | `darr` | `darr` | `darr` | | `1`
`g_6` | `1`
`g_5` | `1`
`g_4` | `0`
`g_3` | `1`
`g_2` | `0`
`g_1` | `1`
`g_0` | Gray code |
`:.` Gray code : `1110101`
This material is intended as a summary. Use your textbook for detail explanation.
Any bug, improvement, feedback then
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