EE2301Q1F09Sol

# EE2301Q1F09Sol - 16 Quiz I#2 Solutions 1(10 Consider...

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1 University of Minnesota Department of Electrical and Computer Engineering EE2301 Fall 2009 Introduction to Digital System Design L. L. Kinney Quiz I Solutions #1 1(10) Consider unsigned (positive) integers in base 5. What is the decimal equivalent of the largest 4-digit base 5 number. 4444 5 = [(4)(5 3 ) + (4)(5 2 ) +(4)(5 1 ) + (4)(5 0 )] 10 = [(4)(125 + 25 +5 + 1)] 10 = [(4)(156)] 10 = 624 10 (Alternatively, 4444 5 = (5 4 – 1) 10 = (625 – 1) 10 = 624 10 ) 2(10) Convert 44,269 10 into a hexadecimal number. (This should be your quiz result.) 16)44,269 16)2,766 (13 = D 16)172 (14 = E 16)10 (12 = C 0(10 = A 44,269 10 = ACED
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Unformatted text preview: 16 Quiz I #2 Solutions 1(10) Consider unsigned (positive) integers in base 4. What is the decimal equivalent of the largest 5-digit base 4 number. 33333 4 = [(3)(4 4 ) + (3)(4 3 ) + (3)(4 2 ) +(3)(4 1 ) + (3)(4 )] 10 = [(3)(256 + 64 + 16 + 4 + 1)] 10 = [(3)(256 + 64 + 16 + 4 + 1)] 10 = [(3)(341)] 10 = 1023 10 (Alternatively, 33333 4 = (4 5 – 1) 10 = (1024 – 1) 10 = 1023 10 ) 2(10) Convert 44,971 10 into a hexadecimal number. (This should be your quiz result.) 16)44,971 16)2,810 (11 = B 16)175 (10 = A 16)10 (15 = F 0(10 = A 44,971 10 = AFAB 16...
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