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HW-4 (Base conversion ) Date:__________, Name___________________________________ Please do not use any calculator in doing your homework. You need Scantron 882E. Please use a pencil to mark the answers. Make sure your Scantron is clean , flat, and not folded when you submit. MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem. 1) Write (in the same base) the counting numbers just before and just after 3246 seven. A) 3245seven, 3247 seven C) 3254seven, 3250 seven 2) List the first 10 counting numbers in base 2. A) 0, 1, 10, 11, 100, 101, 110, 111, 1000, 1001 B) 0, 1, 2, 10, 11, 100, 101, 110, 111, 1000 C) 1, 10, 11, 100, 110, 1000, 1001, 1010, 1100, 10000 D) 1, 10, 11, 100, 101, 110, 111, 1000, 1001, 1010 3) Write (in the same base) the counting numbers just before and just after 13 eight. A) 10eight, 12 eight B) Aeight, Ceight C) 12eight, 15 eight D) 12eight, 14 eight 4) Determine the number of distinct symbols needed in base 7. A) 7 B) 9 C) 8 5) List the first 10 counting numbers in base 16. A) 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 C) 1, 2, 3, 4, 5, 6, 7, 8, 9, A, B B) 3245seven, 3250 seven D) 165 seven, 166seven 2)

1)

3)

4) D) 6 5)

B) 1, 2, 3, 4, 5, 6, 7, 8, 9, A D) 1, 2, 3, 4, 5, 6, 7, 8, 9, 11 6)

6) Write (in the same base) the counting numbers just before and just after DB2 sixteen. A) CA1sixteen, EC3sixteen B) DBsixteen, DB4sixteen C) DB1 sixteen, DB3sixteen 7) List the first 10 counting numbers in base 9. A) 1, 2, 4, 5, 7, 8, A, B, C, D C) 1, 2, 3, 4, 5, 6, 7, 8, 10, 11 D) CA1sixteen, CA3 sixteen

7) B) 1, 2, 3, 4, 5, 6, 7, 8, 11, 12 D) 1, 2, 3, 4, 5, 7, 8, 10, 11 8)

8) Write (in the same base) the counting numbers just before and just after 1044 five. A) 1043five, 1045 five C) 1043five, 1111 five B) 1042five, 1101 five D) 1043five, 1100 five

9) Write (in the same base) the counting numbers just before and just after 68 nine. A) 67nine, 70 nine B)