BCD To Excess 3 converter Examples

1. (1011001)_BCD = ( ? )_{Excess 3}

Solution:
(1011001)_BCD = (_______)_XS3

1. Convert BCD to decimal
(1011001)_BCD = (_______)₁₀

0101	1001
5	9

`:.` (1011001)_BCD = (59)₁₀

2. Convert decimal to XS3
(59)₁₀ = (_______)_XS3

5 +3 =8	9 +3 =12
1000	1100

`:.` (59)₁₀ = (10001100)_XS3

`:.` (1011001)_BCD = (10001100)_XS3

2. (101100111)_BCD = ( ? )_{Excess 3}

Solution:
(101100111)_BCD = (_______)_XS3

1. Convert BCD to decimal
(101100111)_BCD = (_______)₁₀

0001	0110	0111
1	6	7

`:.` (101100111)_BCD = (167)₁₀

2. Convert decimal to XS3
(167)₁₀ = (_______)_XS3

1 +3 =4	6 +3 =9	7 +3 =10
0100	1001	1010

`:.` (167)₁₀ = (010010011010)_XS3

`:.` (101100111)_BCD = (010010011010)_XS3

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