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Course: EEE E1.x, Fall 2007
School: Imperial
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Word Count: 101

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Electronics Digital Answer Sheet 5 1. 2. C\AB 0 1 3. CD\AB 00 01 11 10 00 1 1 0 X SOP 01 0 1 1 0 11 0 0 1 1 10 1 0 0 X CD\AB 00 01 11 10 00 1 0 01 0 0 11 1 1 10 1 1 POS 00 1 1 0 X 01 0 1 1 0 11 0 0 1 1 10 1 0 0 X Adjacent cells differ in only one variable. f = BD + AC D + BCD + ACD Both are minimal; 5 gates each. 4. f = ( B + C )( A + C + D)( B + C + D)( A + C + D ) 5. FULL, EMPTY HOT 00 WASH, THERM 01 11 10 00...

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Electronics Digital Answer Sheet 5 1. 2. C\AB 0 1 3. CD\AB 00 01 11 10 00 1 1 0 X SOP 01 0 1 1 0 11 0 0 1 1 10 1 0 0 X CD\AB 00 01 11 10 00 1 0 01 0 0 11 1 1 10 1 1 POS 00 1 1 0 X 01 0 1 1 0 11 0 0 1 1 10 1 0 0 X Adjacent cells differ in only one variable. f = BD + AC D + BCD + ACD Both are minimal; 5 gates each. 4. f = ( B + C )( A + C + D)( B + C + D)( A + C + D ) 5. FULL, EMPTY HOT 00 WASH, THERM 01 11 10 00 0 0 0 1 01 0 0 0 1 11 X X X X 10 0 0 0 0 FULL, EMPTY COLD 00 WASH, THERM 11 01 10 00 0 0 1 0 01 0 0 1 0 11 X X X X 10 0 0 0 0 FULL, EMPTY MOTOR 00 WASH, THERM 01 11 10 00 0 0 0 0 01 0 0 0 0 11 X X X X 10 0 0 1 1 FULL, EMPTY PUMP 00 WASH, THERM 01 11 10 00 1 1 0 1 01 0 0 0 1 11 X X X X 10 1 1 0 0 HOT = WASH.THERM.FULL MOTOR = WASH. FULL 6. COLD = WASH.THERM.FULL PUMP = WASH.EMPTY X 1 1 1 0 0 0 0 0 0 0 0 0 0 1 1 1 A3 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 A2 0 0 0 0 1 1 1 1 0 0 0 0 1 1 1 1 A1 0 0 1 1 0 0 1 1 0 0 1 1 0 0 1 1 A0 0 1 0 1 0 1 0 1 0 1 0 1 0 1 0 1
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