M Inbox - lwamkidane05@gm X Homepage - 245_MAT800" x 6 Pearson MyLab and Master X @ Computer Number System: X u Course Hero x + c 25 mylab.pearson.com/Student/PlayerTest.aspx?test] T LR . ' o3 ' Rty o New Chrome available y Technical Math for Computer Science (4) Iwam kidane 08/19/24 1116 AM (3 = Test: Computer Number Systems and ; S " This test: 41 point(s) possible Boolean Algebra Test Question11of15 > This question: 3 point(s) possible Submit test Question list |e Complete the following truth table (1 mark each, 3 marks total): A-BB(B+C) O Question 7 O Question 8 O Question 9 O Question 10 a) The truth table entry for column A+ B= (Write your answer as an 8 row and single column matrix - 1 mark) b) The truth table entry for column B + C= (Write your answer as an 8 row and single column matrix - 1 mark) O Question 11 ) The truth table entry for column A EG)(B +C)= (Write your answer as an 8 row and single column matrix - 1 mark) O Question 12 O Question 13 ( Time Remaining: 00:43:49 m M Inbox - Iwamkidane05@gmz x | A Homepage - 24S_MAT8001 x | S Pearson MyLab and Masteri X Computer Number Systems x Course Hero X + C 25 mylab.pearson.com/Student/PlayerTest.aspx?testld=262365000 New Chrome available : Technical Math for Computer Science (4) Iwam kidane 08/19/24 11:16 AM E Test: Computer Number Systems and Question 12 of 15 This test: 41 point(s) possible Boolean Algebra Test This question: 3 point(s) possible Submit test Question list K Complete the following truth table (1 mark each, 3 marks total): A ABC ABCOABOC 0 O Question 7 0 0 0 1 Question 8 1 0 1 O Question 9 O Question 10 a) The truth table entry for column AB= (Write your answer as an 8 row and single column matrix - 1 mark) b) The truth table entry for column ABC=(Write your answer as an 8 row and single column matrix - 1 mark) O Question 11 c) The truth table entry for column ABCOABOC=(Write your answer as an 8 row and single column matrix - 1 mark) CN12-a O Question 12 Instructor-created question O Question 13 Time Remaining: 00:43:44 Next https://tdx.acs.pearson.com/Player/Player.aspx?cultureld=&theme=math&style=highered&disableStandbyIndicator=true&assignmentHandlesLocale=true&enablelesSession=True&iesClientUrl=https%3A%2F%2Flogin.p...M Inbox - Iwamkidane05@gmz x | A Homepage - 24S_MAT8001 x | S Pearson MyLab and Masteri X Computer Number Systems x Course Hero X + C 25 mylab.pearson.com/Student/PlayerTest.aspx?testld=262365000 New Chrome available : Technical Math for Computer Science (4) Iwam kidane 08/19/24 11:16 AM E Test: Computer Number Systems and Question 13 of 15 This test: 41 point(s) possible Boolean Algebra Test This question: 2 point(s) possible Submit test - Choose the correct circuit diagram that represents the Boolean Algebra expression A + B + C (2 marks): O O A. A = O B O O B. A - O F O O C. A = O F O on Time Remaining: 00:43:25 NextM Inbox - lwamkidane05@gm X Homepage - 245_MAT800" x @ Pearson MyLab and Master X @ Computer Number System: X H Course Hero x + This test: 41 point(s) possible Boolean Algebra Test This question: 3 point(s) possible Submit test Using the formula sheet at the bottom of the question, fully simplify the following Boolean Algebra expression: AQQAB + B (3 marks) O The fully simplfied version of AAB + B=(Write your answer as a Boolean Algebra expression. Use capital O as a replacement for @ since the symbol is not an available option - 3 marks) CN15-C Boolean Algebra Rules Postulates A = 1 1b A= 0 la 1c (if A # 0) (if A # 1) 2a 0 . 0=0 2b 0+0=0 2c DO0 =0 O 3a 1 . 1 = 1 3b 1+1=1 3c 101 =0 la 1 . 0 =0 1+0 =1 c 100 =1 5a 1=0 5h 0 = 1 50 0 =0 5d 1 = 1 O Algebra - Commutative AB = BA 6b A+B = B+A 6c 10B = BOA O Algebra - Associative 7a AfRM = CARY 1 7h | A+ARAM= (At Rite | To | AAIRAM = (AARIAN Time Remaining: 00:41:57 NextM Inbox - Iwamkidane05@gmz x A Homepage - 24S_MAT8001 x | S Pearson MyLab and Masteri X Computer Number Systems x Homework Help - Q&A from x + C 25 mylab.pearson.com/Student/PlayerTest.aspx?testld=262365000 New Chrome available : Technical Math for Computer Science (4) Iwam kidane 08/19/24 11:18 AM E Test: Computer Number Systems and This test: 41 point(s) possible Boolean Algebra Test Question 14 of 15 > This question: 3 point(s) possible Submit test Using the formula sheet at the bottom of the question, fully simplify the following Boolean Algebra expression: ADAB + B (3 marks) O Algebra - Commutative 6a AB = BA 6b A+ B = B+A 6c AOB = BOA O Algebra - Associative 7a A(BC) = (AB)C 7b A+(B+C)=(A+B)+6 7c AO BOC) = (AOB)OC O Algebra - Distributive A(B + C) = AB + AC 8b A+ BC = (A+ B)(A + C) 8c 8a A(BOC) = ABO AC 8d (AO B)(AOC) = ABC + ABC O Basic Theorems ya A . 0 = 0 9b A+0 = A 9c 400 =A 10a A . 1 = A 10b A+1 = 1 10c 401 = A 11a A . A = A 1 1b At A = A 11c AGA =0 12a A . A = 0 12b A+A = 1 12c AGA = 1 13a A = A 13 A = A 13c A = A O De Morgan's Theorems 1 An ABF _ AIDIN TIRIT Time Remaining: 00:41:42 NextM Inbox - Iwamkidane05@gmz x A Homepage - 24S_MAT8001 x | S Pearson MyLab and Masteri X Computer Number Systems x Homework Help - Q&A from x + C 25 mylab.pearson.com/Student/PlayerTest.aspx?testld=262365000 New Chrome available : Technical Math for Computer Science (4) Iwam kidane 08/19/24 11:18 AM E Test: Computer Number Systems and Question 14 of 15 > This test: 41 point(s) possible Boolean Algebra Test This question: 3 point(s) possible Submit test Using the formula sheet at the bottom of the question, fully simplify the following Boolean Algebra expression: ADAB + B (3 marks) O 13a A = A 13b A = A 13c A = A De Morgan's Theorems O 14a ABC = A+B+C 14b A+B +C = ABC 14c AOBOC = AOBOC Absorption Theorems O 15c A + AB = A AD (A + B) = AB 15a A(A + B ) = A 15b 15d A @ AB = AB O 16a A(A + B) = AB 16b A + AB = A + B 16c A(A DB) = AB 16d AO AB = A+ B Multiplying Out 17a (A + B)(A + C) = AC + AB 17b (A+ B) @(A + C) = ACO AB Consensus Theorems O 18 AB + BC + AC = AB + AC 18b ( A + B ) ( A + C ) ( B + C ) = (A + B ) (A+ C) 180 (AOB)AOC) ( BOC) = (AOB) (AOC) =(AOB)(BOC) = (AOC)(BOC) O Time Remaining: 00:41:38 Next