270Exam1Sp12 - CompE 270 Digital Systems Sp12 NAME:_ Exam 1...

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CompE 270 Digital Systems Sp12 NAME:____________________ Exam 1 - use additional sheets or other side if needed -- SHOW YOUR WORK!! 1 1) Add the 8-bit values (show results as 8 bits : binary, hex, and decimal . 10 pts Add hex: convert 2s comp to decimal BE hex _ _ _ _ _ _ _ _ binary = _____ Signed Dec + 52 hex + _______________ binary = _____ Signed Dec show results in = _______________ binary = _____ Signed Dec hexadecimal: (C=_)_____hex convert hex to Is the 2’s comp Result valid? Y / N_ Signed decimal: __________ Is the unsigned Result valid? Y / N _ Carry Out: C = ___ Overflow: _____ 2) Binary notation has a range of valid values which depends on the number of bits and format. What is the range of valid values (in decimal) for: 2 pts. ea 5 bits, unsigned 5 bits, 2’s complement (most from: ___ __ (base 10) negative) from: _ ______ (base 10) to: _____ (base 10) (to most to: _ ______ (base 10) positive) 3) Multiply 6 10 times 11 10 in unsigned binary: 11 _ _ _ _ 5 pts YOU MUST Show partial products! x6 _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ _ Result:_ _ _ _ check:66? 4) Convert the following numbers: (2 pts ea) a) 4 bit 2’s comp: 11.11 2 b) Signed 8 bit hex 80 to decimal: __________ to decimal: ________ c) Decimal -1.75 d) Decimal 63 to 4 bit 2’s comp binary: _______ to unsigned hex: ______ 5) Calculate the following using 4-bit BCD sum using binary addition, correction and show the decimal equivalents: 5 pts 0 0 1 1 0 1 1 1 BCD = ________ Decimal +0 1 0 1 0 1 0 1 BCD = +________ Decimal Result __________________ BCD = ________ Decimal
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CompE 270 NAME:____________ ____ Exam 1 270Exam1Sp12.doc 2 6) For the equations below: Draw circles for both functions on the Karnaugh maps below
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270Exam1Sp12 - CompE 270 Digital Systems Sp12 NAME:_ Exam 1...

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