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23 December, 09:37

Convert the following numbers from base ten into the designated base.

(a)

77ten = five

(b)

153ten = five

(c)

93ten = two

(d)

202ten = two

(e)

60ten = twelve

(f)

403ten = sixteen

(g)

77ten = six

(h)

1,251ten = six

(i)

149ten = sixteen

(j)

125ten = five

(k)

97ten = sixteen

(l)

1,059ten = five

(m)

2,500,000ten = five

(n)

2,500,000ten = two

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Answers (1)
  1. 23 December, 11:12
    0
    a) 302

    b) 1103

    c) 1011101

    d) 11001010

    e) 50

    f) 193

    g) 205

    h) 5443

    i) 95

    j) 1000

    k) 61

    l) 13214

    m) 1120000000

    n) 1001100010010110100000

    Step-by-step explanation: To convert numbers from base ten into the designated base we should divide de number from the base ten by the new base. Write the answer with integer numbers and with the correspondent reminder. Repeat the division using the answer from the previous division until the result is 0. The number converted is the reminders starting from the end to the beginning. For example:

    a) we divide 77/5 the result is 15 and the reminder is 2. Then we divide 15/5, the result is 3 and the reminder is 0. Then we divide 3/5 the result is 0 and the reminder is 3. So the answer is 302

    b) we divide 153/5 the result is 30 and the reminder is 3. Then we divide 30/5, the result is 6 and the reminder is 0. Then we divide 6/5 the result is 1 and the reminder is 1. Then we divide 1/5 the result is 0 and the reminder is 1. So the answer is 1103
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