Computer Sciences
Binary system and number conversion
1. Convert the following numbers in the required numerical system:
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19310 to base 2
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19310 to base 8
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19310 to base 16
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7910 to base 2
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32610 to base 2
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12810 to base 2
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CAFE16 to base 2
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AA5516 to base 2
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101010102 to base 10
•
010101012 to base 10
2. Perform the following operation after converting the numbers in pure binary
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3410 + 7710
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22510 + 6310
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22910 + 11110
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1010 - 610
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3910 - 1410
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3210 - 710
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8410 + 3710
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1810 + 710
•
2510 + 1510
3. Represent in Sign and Magnitude (S&M), and in two's complement (2C) on 8 bits the
following decimal numbers.
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+12
•
-35
•
+40
•
-88
•
+17
•
-128
•
+271
•
+128
4. Perform the following operations after converting the numbers in two’s complement on 8
bits. In every case determine whether the overflow condition exists or not.
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2310 + 8810
•
1210 - 3710
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-6510 + 11010
•
10010 + 6510
•
12310 - 11710
•
-9910 - 4510
•
5010 - 5110