Convert the following decimal numbers to the specified base.

1.    547 to base 16
2.     348 to base 8
3.     243 to binary
4.    647 to base 4
5.    333 to base 3

Convert the following numbers to decimal.

6.    872₉
7.    914₁₁
8.    3231₄
9.    1010110₃
10.   1420₅

Perform the indicated base conversions.
11.    574₆ = X₃
12.    1647₈ = X₁₅
13.    360₈ = X₁₆
14.    59A₁₁ = X₉
15.    351₆ = X₄

For all of the following problems, use 4-digit arithmetic. 

16.    3847 + 2745 (both decimal), using base complement arithmetic.
17.     4A26 - 3972 (both hexadecimal), using base-1 complement arithmetic.
18.    1563 - 3100 (both octal), using base-1 complement arithmetic.
19.    1000 - 1133 (both base 4), using base complement arithmetic.

20. Express the number -15 in six-bit binary, using:
    a. sign-magnitude
    b. base complement
    c. base-1 complement

21. Pick some arbitrary positive number, in the number base of your choice. Represent the negative of that number using base complement and base-1 complement notation. Comment intelligently on the relation between the two representations.
 

Solutions Key

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