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Unformatted text preview: remainder of 2; 5 is the only possibility. Then, 1 + 4 + 2 equals 12 in base 5 and 1 + 1 + 4 equals 11 in base 5. Since the carry from the most significant position is 1, the sum overflows. (c) Since 3 + 4 produces a sum digit of 0, the base must divide 7 evenly; 7 is the only possibility. The result does not overflow. (d) Since 3 + 4 produces a sum digit of 1, the base must divide 7 with a remainder of 1; 6 is the only possibility. The result overflows. (e) The base can be 8 or any larger integer. The sum does not overflow. 5. (a) 0000000 1111111 0000000 (b) 1111111 0000000 0000001 (c) 00110011 11001100 11001101 (d) 1000000 0111111 1000000 6 (a) 11010  01101 01101* 01101* 01101 (b) 11010  10000 01010 01010 01010 (c) 10010  10011 11110 11111 11111* (d) 000100  110000 010011 010100 010100* * indicates overflow...
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This note was uploaded on 12/20/2009 for the course EE 2301 taught by Professor Larrykinney during the Fall '09 term at Minnesota.
 Fall '09
 LarryKinney

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