1. (207)₈ = (      ?      )_{Excess 3}

Solution:
(207)₈ = (_______)_XS3

1. Convert octal to decimal
(207)₈ = (_______)₁₀

`207`

` = 2 × 8^2 + 0 × 8^1 + 7 × 8^0`

`= 2 × 64 + 0 × 8 + 7 × 1`

`= 135`


`:.` (207)₈ = (135)₁₀


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

1 +3 =4	3 +3 =6	5 +3 =8
0100	0110	1000

`:.` (135)₁₀ = (010001101000)_XS3


`:.` (207)₈ = (010001101000)_XS3

---

2. (353)₈ = (      ?      )_{Excess 3}

Solution:
(353)₈ = (_______)_XS3

1. Convert octal to decimal
(353)₈ = (_______)₁₀

`353`

` = 3 × 8^2 + 5 × 8^1 + 3 × 8^0`

`= 3 × 64 + 5 × 8 + 3 × 1`

`= 235`


`:.` (353)₈ = (235)₁₀


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

2 +3 =5	3 +3 =6	5 +3 =8
0101	0110	1000

`:.` (235)₁₀ = (010101101000)_XS3


`:.` (353)₈ = (010101101000)_XS3

---

---