Math 366, Spring 1998, Drill One

  1. Write each of the numbers 17, 47 and 83 as numerals in base two, three and four.

    Do the following sums, differences, products and quotients in the numeration base in which each is given.

    1. 47 + 83
    2. 2334 + 11034
    3. 12023 + 100023
    4. 1011112 + 10100112
    1. 83 - 47
    2. 11034 - 2334
    3. 100023 - 12023
    4. 10100112 - 1011112
    1. 47 x 83
    2. 2334 x 11034
    3. 12023 x 100023
    4. 1011112 x 10100112
    1. 83 / 17
    2. 11034 / 1014
    3. 100023 / 1223
    4. 10100112 / 100012

Note on problem 7 of Homework 3: The rule for multiplying 2x2 matrices is:

(a b)(p q) = (ap + br  aq + bs)
(c d)(r s)   (cp + dr  cq + ds)