Excess 3 To Binary converter Examples

1. (1011001)_{Excess 3} = ( ? )₂

Solution:
(1011001)_XS3 = (_______)₂

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

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

`:.` (1011001)_XS3 = (26)₁₀

2. Convert decimal to binary
(26)₁₀ = (_______)₂

2	26
2	13	0	↑
2	6	1	↑
2	3	0	↑
2	1	1	↑
	0	1	↑

`:.` (26)₁₀ = (11010)₂

`:.` (1011001)_XS3 = (11010)₂

2. (10011001010)_{Excess 3} = ( ? )₂

Solution:
(10011001010)_XS3 = (_______)₂

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 binary
(197)₁₀ = (_______)₂

2	197
2	98	1	↑
2	49	0	↑
2	24	1	↑
2	12	0	↑
2	6	0	↑
2	3	0	↑
2	1	1	↑
	0	1	↑

`:.` (197)₁₀ = (11000101)₂

`:.` (10011001010)_XS3 = (11000101)₂

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