1
Question
Expand the following in base 5 system.
(1) 32(5)
(2) 124(5)
(3) 432(5)
(4) 3021(5)
Expand the following in base 5 system.
(1) 32(5)
(2) 124(5)
(3) 432(5)
(4) 3021(5)
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Solution
(1) 32(5)
51
50
3
2
∴32(5) = 3 × 51 + 2 × 50
(2) 124(5)
52
51
50
1
2
4
∴124(5) = 1 × 52 + 2 × 51 + 4 × 50
(3) 432(5)
52
51
50
4
3
2
∴432(5) = 4 × 52 + 3 × 51 + 2 × 50
(4) 3021(5)
54
52
51
50
3
0
2
1
∴3021(5) = 3 × 54 + 0 × 52 + 2 × 51 + 1 × 50
(1) 32(5)
|
51 |
50 |
|
3 |
2 |
∴32(5) = 3 × 51 + 2 × 50
(2) 124(5)
|
52 |
51 |
50 |
|
1 |
2 |
4 |
∴124(5) = 1 × 52 + 2 × 51 + 4 × 50
(3) 432(5)
|
52 |
51 |
50 |
|
4 |
3 |
2 |
∴432(5) = 4 × 52 + 3 × 51 + 2 × 50
(4) 3021(5)
|
54 |
52 |
51 |
50 |
|
3 |
0 |
2 |
1 |
∴3021(5) = 3 × 54 + 0 × 52 + 2 × 51 + 1 × 50
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