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3417182253(2)

# 3417182253(2) - CEG/EE 260 NAME Midterm#1(sample exam...

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CEG/EE 260 Midterm #1 (sample exam solutions) winter 200 8 NAME: In the real exam, the number of the questions might be less or more, and the grade distribution might be a little different. 1. (10%) Given the Boolean function: F(N) = 1 if N is odd and N > 10 0 otherwise Assume N=DCBA, a four-bit variable that ranges from 0 to 15. Let D be the MSB and A be the LSB. Derive and draw a two-level AND-OR circuit for the function. The circuit should be as simple as possible. INPUTS D C B A OUTPUTS F 0 0 0 0 0 0 0 0 1 0 0 0 1 0 0 0 0 1 1 0 0 1 0 0 0 0 1 0 1 0 0 1 1 0 0 0 1 1 1 0 1 0 0 0 0 1 0 0 1 0 1 0 1 0 0 1 0 1 1 1 1 1 0 0 0 1 1 0 1 1 1 1 1 0 0 1 1 1 1 1 F(D,C,B,A) =m11+m13+m15=DC’BA+DCB’A+DCBA=DC’BA+DCA(B’+B) =DC’BA+DCA*1=DC’BA+DCA=DA(C’B+C)=DA(C+C’B)=DA(C+C’)(C+B) =DCA+DBA 2. (10%) (a) What is the binary number representation of a decimal 19.75? (5%) (b) What is the decimal representation of a binary 100011.01? (5%) (c) What is the hexadecimal representation of a binary 1110101110.11? (5%) C A D B A D F

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19 – 16 =3 16= 2^4 3 – 2 =1 2=2^1 1 – 1 =0 1=2^0 2^4 2^3 2^2 2^1 2^0
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3417182253(2) - CEG/EE 260 NAME Midterm#1(sample exam...

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