samfin

# samfin - 1 Binary Number Systems 1(ones complement Show the...

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1 Binary Number Systems 1. (one’s complement) Show the operation of - 10 + ( - 5) in 6-bit one’s comple- ment. 2. (two’s and one’s complements) We have deFned and learned the idea of two’s and one’s complements for n-bit binary numbers. DeFne the corresponding complements using an n-digit system with base 10. Show the arithmetic of - x + y where x = 216 10 and y = 65 10 in the corresponding complement representations using a 6-digit system with base 10. 3. (two’s and one’s complements) We have deFned and learned the idea of two’s and one’s complements for n-bit binary numbers. DeFne the corresponding complements using an n-digit system with base 8. Show the arithmetic of - x - y where x = 120 8 and y = 27 8 in the corresponding complement representations using a 6-digit system with base 8. 2 Boolean Algebra 1. (expression in sum of products) Express Boolean function E ( x, y, z ) = ( x + y + x 0 z ) 0 ( x 0 y 0 + xy 0 z ) in sum-of-products form. 2. (expression in product of sums) Express Boolean function

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## This note was uploaded on 06/12/2011 for the course CS 1 taught by Professor Staff during the Fall '08 term at Cornell.

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samfin - 1 Binary Number Systems 1(ones complement Show the...

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