1. (1011001)₂ = (      ?      )_{Excess 3}

Solution:
(1011001)₂ = (_______)_XS3

1. Convert binary to decimal
(1011001)₂ = (_______)₁₀

`1011001`

` = 1 × 2^6 + 0 × 2^5 + 1 × 2^4 + 1 × 2^3 + 0 × 2^2 + 0 × 2^1 + 1 × 2^0`

`= 1 × 64 + 0 × 32 + 1 × 16 + 1 × 8 + 0 × 4 + 0 × 2 + 1 × 1`

`= 89`


`:.` (1011001)₂ = (89)₁₀


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

8 +3 =11	9 +3 =12
1011	1100

`:.` (89)₁₀ = (10111100)_XS3


`:.` (1011001)₂ = (10111100)_XS3

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

Solution:
(101100111)₂ = (_______)_XS3

1. Convert binary to decimal
(101100111)₂ = (_______)₁₀

`101100111`

` = 1 × 2^8 + 0 × 2^7 + 1 × 2^6 + 1 × 2^5 + 0 × 2^4 + 0 × 2^3 + 1 × 2^2 + 1 × 2^1 + 1 × 2^0`

`= 1 × 256 + 0 × 128 + 1 × 64 + 1 × 32 + 0 × 16 + 0 × 8 + 1 × 4 + 1 × 2 + 1 × 1`

`= 359`


`:.` (101100111)₂ = (359)₁₀


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

3 +3 =6	5 +3 =8	9 +3 =12
0110	1000	1100

`:.` (359)₁₀ = (011010001100)_XS3


`:.` (101100111)₂ = (011010001100)_XS3

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