Quiz1_v1_sol

# Quiz1_v1_sol - EE 101 Quiz 1 v.1 Fall'07 Redekopp...

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Fall ’0 7 ● Redekopp Name: ___Solutions____________________________ Lecture 9:30 / 12:30 / 2:00 Closed Book / 45 minutes Score: ________ No calculators are allowed. Show all your work to get full credit. 1. Perform the following number system conversions (in any order) a.) (6D.4) 16 = ? 8 = ? 2 = ? 10 (18 pts.) = 0110 1101 . 0100 2 (Can remove leading or trailing 0’s) = 01 101 101 . 010 = 155.2 8 = 1*8 2 + 5*8 1 + 5*8 0 + 2*8 -1 = 64 + 40 + 5 + .25 = 109.25 10 b.) (297) 10 = ? 8 = ? BCD Decimal Code (14 pts.) 297 / 8 = 37 r. 1 297 10 = 0010 1001 0111 BCD 37 / 8 = 4 r. 5 4 / 8 = 0 r. 4 = 451 8 2. (16 pts.) Given the bit string (set of 1’s and 0’s) : 10101011 and the following representation systems, find the string’s equivalent decimal value in each system. System Decimal value (show work for partial credit) 2’s complement = -128 + 32 + 8 + 2 + 1 = -85 Signed Magnitude = - 32 + 8 + 2 + 1 = -43 84-2-1 Decimal Code 10’s digit: (8 – 2) = 6 1’s digit: (8 –

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Quiz1_v1_sol - EE 101 Quiz 1 v.1 Fall'07 Redekopp...

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