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Unformatted text preview: borrows instead of carries. 8. (4 points) Add the following pairs of hexadecimal numbers, showing all carries. 1880 + 72901 9281 + ABCD 9. (12 points) Write the 8bit signedmagnitude and tow’scomplement representations of the following decimal numbers. 31, 121, – 67, – 116, – 91, – 127 10. (15 points) Each of the following operations is correct in at least one number system. Determine possible radices of the numbers in each operation. a) 1234 + 1234 + 1234 + 1234 = 11101 b) 297 / 18 = 19 c) 5 3 = 175 11. (10 points) Show that a two’s complement number can be converted to a representation with more bits by sign extension. 12. (5 points) How many bits do you need to represent a product of two nbit binary numbers? 13. (5 points) How many bits do you need to represent a product of two nbit two’s complement numbers? The result is also a two’s complement number....
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 Fall '08
 SHI
 Binary numeral system, Decimal

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