Question

Experiment Description: A distinguished (yet unnamed) instructor has asked you to design a circuit that calculates course grades, based on the letters in students' first names. The "key letters" chosen for this semester are "I", "R", "C", and "K" A course grade of"A" will be given to students who have the vowel (“I") and all three of the consonants ("R", "C", and "K") in their first name (e.g., "RICKY"). A course grade of "B" will be given to students who have the vowel ("I") and either one or two of the three consonants ("R", "C", or "K") in their first name (e.g., "KRISTEN" or "CINDY"). A course grade of "C" will be given to students who don't have the vowel "I" in their first name but do have at least one of the three consonants in their first name (e.g., "ROCKY" or "DAR"). A course grade of "F" will be given to all other students (i.e., those who do not receive a grade of "A", "B", or Pre-lab Step (1): Create a truth table for the grading circuit (note that it has four inputs and four outputs), and map and minimize all four functions. For each of the four functions, compare the SP cost to the PS cost, and choose the one that is "cheapest" to implement. Show all your derivatory work on a separate sheet and have it available for your lab instructor to check. Keep track of the amount of time it takes you to complete this step.

Answer 1

0 s ave A,B, and

CP ro Reduced Sop expvession o A fs ap AND gate aud one 1-iaput OR gate Cost fs, And the hou

GP Is (o Reduces Pos expreseion r fs, Repuived onet-vnput AND ahe and tee thvee 4 6 フ10

GP TD t 0 6 !3 duced Sop exp eEsion for B s, 2-input AnlD gate , one s-iaput letuiei hree 2-input OR gate one invevter Cots メ3(2) + (32+1 ナ 6+3+1

I o 0 I 0 0 9 Kedued Pos expSin for B fr Required one 2-Tputtad gate one nveter gnte one → 2+2+1

GP 1 O 0 13 to to Rednced Sop expmession torCs Required four 3-input AND gth, one 4-infょ OR gate fhree inverter gate Cost s,

find the poduut Resuived one 5-input AND gate, Aive 2-put OR thrce inverter Con pare Sof &st and Pos cost,什 CAear fin the Cost calculaon, Poc the cheapest to inplem*