# hw1 - Department of Systems Engineering and Engineering...

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Unformatted text preview: Department of Systems Engineering and Engineering Management ERG 2020 C/D Digital Logic and Systems Instruction: Question 1. THE CHINESE UNIVERSITY OF HONG KONG Show your work clearly. Assignment 1 Convert the following given numbers to other number systems: Decimal Binary Hexadecimal 147 ? ? ? 1 1010 1110 ? ? ? BC1 Question 2. Find the 8-bit representations/values of the followings: Decimal Sign-Magnitude Ones' Complement Two's Complement Excess-127 Value Representation Representation Representation Representation 35 ? ? ? ? ? 0110 1011 ? ? ? ? ? 1011 1100 ? ? ? ? ? 0110 1000 ? ? ? ? ? 1001 0111 Perform the following unsigned binary number arithmetic. (a) 0100 1110 + 0001 0011 (show all c ) (b) 0100 1110 0001 0011 (show all b ) (c) 1011 1110 (show all c and partial products; you can ignore the steps of adding 0 to a partial product) (d) 1101 1001 1011 ( nd quotient and remainder; show all b ) in in in in Question 3. Perform the following 8-bit signed binary number arithmetic and identify over ow, if any. (a) 0100 1110 + 1001 0011 (signed-magnitude representations) (b) 0100 1110 1001 0011 (signed-magnitude representations) (c) 0100 1110 + 1001 0011 (two's-complement representations) (d) 0100 1110 1001 0011 (two's-complement representations) Question 4. ...
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