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Unformatted text preview: (a) 8-bit signed 2's complement representation for negative numbers (b) 9-bit signed 2’s complement representation for negative numbers Does overflow happen? Why? Level 2 Question 5: Please calculate a + b , a- b , a · b , and a / b for the pair of binary numbers a = 10101 and b = 1011 without converting to decimal (Show your work and the carries) Question 6: Determine the value of x if (211) x = (152) 8 . Question 7: Formulate a simple procedure for converting base-4 numbers directly to hexadecimal number. Use the procedure to convert (12321) 4 to base 16. (Hints: 4 2 = 16) Question 8: In the lecture, we only discuss the r ’s-complement and ( r-1)’s-complement of an integer number. Find the 1’s complement and 2’s complement of the following fractional binary numbers. (a) 010.11 (b) 11011.100...
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- Fall '07
- Binary numeral system, Positional notation