270Exam1Sp11solutions

270Exam1Sp11solutions - CompE 270 Digital Systems Exam 1...

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CompE 270 Digital Systems Sp11 NAME:__ SOLUTIONS ___ Exam 1 1 1) Add the 8-bit values (show results as 8 bits : binary, hex, and decimal . 10 pts Add hex: convert binary to decimal Carries: 1 1 1 1 FF hex 1 1 1 1 1 1 1 1 binary = __-1_ Signed Dec + 10 hex + 0 0 0 1 0 0 0 0 binary = _+16_ Signed Dec show results in = 0 0 0 0 1 1 1 1 binary = _+15_ Signed Dec hexadecimal: (1) 0F ____ Is the 2’s comp Result valid? Yes _ Signed decimal: ___ +15 ____ Is the unsigned Result valid? No _ Carry Out: C = 1 __ Overflow: _ No (OV=0) _ 2) Multiply 6 10 times 5 10 in unsigned binary: 5 pts 0110 = 6 or 0101 = 5 x0101 x5 x0110 x6 0110 0000 0000 0101 0110__ 0101__ 11110 =30 11110 3) Convert the following numbers: (5 pts ea) a) 4 bit 2’s comp: 11.01 2 b) Signed hex C0 to decimal: __ -0.75 __ to decimal: __ 192 __ -2+1+0.25 = -0.75 12*16+0 = 192 c) Decimal -1.75 d) Decimal 127 to 4 bit 2’s comp binary: _ 10.01 __ to unsigned hex: _ 7F __ -2+0.25 = 10.01 2^7-1 = 10000000-1 = 0111 1111 2 4) Calculate the following using 4-bit BCD sum, and decimal equivalents: 1 1 1 1 1 10 pts 0 1 0 1 0 1 1 0 BCD = __ 5 6 __ Decimal +0 0 1 0 0 1 0 1
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270Exam1Sp11solutions - CompE 270 Digital Systems Exam 1...

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