BME328-2010-FALL-MIDTERM.pdf - Ryerson University...

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Unformatted text preview: Ryerson University Department of Electrical and Computer Engineering COE 328— Digital Systems andl Microprocessors Midterm Test ,_ October 18, 2019 , ti: FA LO 1) \lame:A1EDAL£=AH WStudent Number: 509') 3251—960 Section: Time limit: 1 hour 50 min Examiners: V. Geurkov, N. Mekhiel, R. Sedaghat Notes: a) Closed book. b) No calculators. c) Answer ail questions in the space provided. d) Circle your professor’s name and hand in these sheets. 1. Determine the decimal value of the following 8 bit binary number: 1011111411" If assumed to be: a) Unsigned number . W 1+7. ”1’ -; \l H+jg+§%iemg 133 k// 6;;, b) 2’s complement ’O+8+GH): EIV// Qi/ c) convert the given numb r to he E?" :/f Q/ (I) Use 4 bit 2 s complement an carry out the ttoallowing operations, then determine it an overflow \ !' OCCUYS' +{IQ101 4? 'elll dl +5+7 ) ~Hiui$ VERflLou/ N Name: Section: 2. Derive the logic function f (SOP) for the following circuit 3. Implement the 3—input XOR function/(xi, x2,x3) = x] (-9.112 @ x3 using only two 2-input lockup—table (2-LUTs). Draw the circuit and clearly identify the inputs of the LUTs. Hint: Shannon’s Exp. Theorem ”F: $69 VL>® Y3 1 Exp-x531) ®K3 : EMHO/fli Name: __m_ Section; W w I 4:. Name: Section: 4. Draw the CMOS Circuit for the function_f(x,u,x3,x3) = fit? (E + Effi) a) Minimize the function .F using Boolean Algebra W ,0: x. mm $55?) 7’: QT 37,: +” £32; X3 paze b) Implement the minimized function using CMOS circuitr - Name: Section: 5. Given the following two Functions: F1(x,,x2,x3) 2 x733+x1x3 + xix-2 F 2(x;,x2,x3) = 5167+ fits a) Minimize F1 and F2 using K—Map and find the sharing sub—functions (decomposition). ...
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