Excess 3 To BCD converter Examples

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

Solution:
(1011001)_XS3 = (_______)_BCD

1. Convert XS3 to decimal
(1011001)_XS3 = (_______)₁₀

0101	1001
5 -3 =2	9 -3 =6

`:.` (1011001)_XS3 = (26)₁₀

2. Convert decimal to BCD
(26)₁₀ = (_______)_BCD

2	6
0010	0110

`:.` (26)₁₀ = (00100110)_BCD

`:.` (1011001)_XS3 = (00100110)_BCD

2. (10011001010)_{Excess 3} = ( ? )_BCD

Solution:
(10011001010)_XS3 = (_______)_BCD

1. Convert XS3 to decimal
(10011001010)_XS3 = (_______)₁₀

0100	1100	1010
4 -3 =1	12 -3 =9	10 -3 =7

`:.` (10011001010)_XS3 = (197)₁₀

2. Convert decimal to BCD
(197)₁₀ = (_______)_BCD

1	9	7
0001	1001	0111

`:.` (197)₁₀ = (000110010111)_BCD

`:.` (10011001010)_XS3 = (000110010111)_BCD

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