Need this done and also please show working out for every question
Assignment Brief and Feedback form Name of Centre: Richmond & Hillcroft Adult Community College Learner achievement (please circle) NB: All learner achievement is provisional until confirmed at the AVA Awards Board. Level Achieved: L3 Achievement (Level 3 units only) P M D Resubmission? Y N Title of Access to HE Diploma: (e.g. Science) Unit title(s): Mathematics for Computing Unit code(s): RB8/3/LN/007 BRV697 Learner: Tutor/Assessor: Maha El-Habashy Description of Assignment: Take home assignment to be completed by 21/06/021 Date set: Date for draft submission (if applicable): Date for final submission: 21/06/2021 Extension date (if agreed): Signed by Tutor/Assessor to agree extension: Date / /submitted: Internal Moderation: Yes / No Date: Signed by internal moderator: ON TIME/LATE Learner declaration: The explanations and evaluations in this work have been developed and written by me. I have not submitted material copied from the Internet, text books or other sources in place of my own thinking and writing. When I have referred to the work of others I have done so to discuss, comment on or argue their ideas. I have kept quotation and paraphrasing to an absolute minimum and only to support points I have made. I understand that referencing the names of authors whose ideas I have used without including my own interpretation of those ideas, does not meet the assessment criteria and cannot attract the Pass, Merit or Distinction grades. I have not copied the work of my peers. Learner comments: (please use this space to comment on any aspect of the assignment when handing in your work) Signature: Date: TO THE LEARNER: Please attach this assignment brief to any written work you are handing in for assessment, or submit the brief as instructed. YOUR WORK CANNOT BE ASSESSED UNLESS YOU HAVE SIGNED AND SUBMITTED THIS FORM Level 3 Unit title: Mathematics for Computing Learning outcomes Assessment criteria This is what you will learn on the unit. This is what you must be able to demonstrate that you can do in your assignment in order to achieve the unit. The learner will: The learner can: Use sets Carry out set operations on three sets, to include complements, unions and intersections and working with the universal set and the empty set. Draw Venn diagrams for at most three sets and the universal set. Solve problems using at most three sets. Use logical operators. Construct truth tables using up to three operators. Construct truth tables for NOT, AND and OR. Use Logic Gates. Construct logic circuits for at most three inputs. Construct logic circuits including NOT, AND, NAND, OR. Construct a simple binary adder circuit. Convert numbers into computer related formats. Express numbers in binary, hexadecimal and octal. Convert numbers between binary, octal and hexadecimal formats. Express numbers and letters in ASCII format. Express numbers in Binary Coded Decimal. Express register contents as binary, hexadecimal, octal, BCD, fixed point or floating point numbers. Level 3 units only: Learners achieve a Pass if they meet all Level 3 Assessment Criteria for a unit. You will achieve a Merit or Distinction by meeting the following Grade Descriptors. Your tutor will give you feedback for all three grades. Grade Descriptor Merit (Choose one or more relevant grade components) Distinction (Choose one or more relevant grade components) GD3: Application of Skills Generally selects and applies appropriate methods with very good levels of accuracy and consistency Consistently selects and applies appropriate methods with very good levels of accuracy and consistency Grade Descriptor Merit (Choose one or more relevant grade components) Distinction (Choose one or more relevant grade components) GD7: Quality Work taken as a whole, demonstrates a very good response to the demands of the brief/assignment. Work taken as a whole, demonstrates an excellent response to the demands of the brief/assignment. Grade Guidance: Learners must carefully read the guidance below which is linked to the components above MERIT: (e.g. To achieve a Merit your work will show….) GD3: To achieve a merit your work will show very good selection and application of methods, with the ability to answer some challenging questions GD7: To achieve a merit your work will demonstrate a very good response to the demands of the assignment, with sufficiently clear explanation of methods where appropriate. DISTINCTION: (e.g. To achieve a Distinction your work will show….) GD3: To achieve a distinction your work will show very good selection and application of methods, with the ability to answer all of the challenging questions GD7: To achieve a distinction your work will demonstrate an excellent response to the demands of the assignment, with detailed explanation of methods where appropriate and tidy presentation. Part A: Feedback on credit level AC no Credit achieved (L3) Location of evidence Tutor/Assessor comments on assessment criteria (the assessor may also indicate on the work itself where each AC is met) 1.1 1.2 1.3 2.1 2.2 3.1 3.2 3.3 4.1 4.2 4.3 4.4 4.5 Level achieved Tutor/Assessor’s signature: Date: Resubmission (if applicable) If any of the assessment criteria for this assignment have not been met at Level 3, a resubmission may be permitted. Resubmission must follow the QAA guidelines and be permitted only once. Requirements for resubmission/new Task set: Date Set: Date due: Date Submitted: Feedback on resubmission: Level achieved after resubmission: Tutor/Assessor’s signature: Date: Part B: Feedback on grading (Applicable only if all assessment criteria achieved at Level 3) Grade Descriptor Tutor/Assessor comments against grade descriptors Grade indicator (P/M/D) Please enter the final grade on page 1 based on this grade profile e.g. PPM=P GD3: Application of Skills GD7: Quality Tutor/Assessor’s reason for final grade decision (if applicable): Areas for development (how will the learner be able to use and improve on what they have learnt on this unit and the skills that they have used in their further studies?) Mathematics for Computing 1.1.Carry out set operations on three sets, to include complements, unions and intersections and working with the universal set and the empty set. 1.2.Draw Venn diagrams for at most three sets and the universal set. 1.3.Solve problems using at most three sets Question One: A. 50 people were asked if they speak French or German or Spanish. Of these people, 31 speak French 2 speak French, German and Spanish 4 speak French and Spanish but not German 7 speak German and Spanish 8 do not speak any of the languages all 10 people who speak German speak at least one other language i. Construct a Venn Diagram to represent this information. F- 31, 2,4 G-2,7,1 S-2,4,7 N-8 ii. How many people only speak Spanish? B. The Venn diagram shows a universal set and three sets X, Y and Z. The numbers shown represent numbers of elements. Complete the Venn diagram. C. and are two sets. By drawing a Venn diagram or otherwise, find D. Find the following: i. ii. iii. iv. v. Challenge question vi. Challenge question 2.1.Construct truth tables using up to three operators. 2.2.Construct truth tables for NOT, AND and OR. 3.1.Construct logic circuits for at most three inputs. 3.2.Construct logic circuits including NOT, AND, NAND, OR. 3.3.Construct a simple binary adder circuit. Question Two A. Complete truth tables for the figures below A B C D Q B A C Q D Challenge Questions A B C D Q 0 0 1 1 C B A Q D A B C D Q Q A B C D B. Construct logic circuits and truth tables for the following: P = (A OR B) AND (C OR D) P = NOT ((A OR B) AND C) P = A OR B OR C OR D P = (A AND B) AND NOT C P = NOT (A AND B) Challenge Questions: P = A OR B OR C OR D P = (A AND B) AND NOT C C. Design a circuit that adds two binary bits and a ”Carry in” (Cin) bit together, producing a ”Sum” (Σ) and a ”Carry out” (Cout) output. Begin the design process by drawing a truth table for the circuit, writing a Boolean SOP expression for each output, then determining the necessary gate circuitry to fulfil each output function. 4.1.Express numbers in binary, hexadecimal and octal. 4.2.Convert numbers between binary, octal and hexadecimal formats. 4.3.Express numbers and letters in ASCII format. 4.4.Express numbers in Binary Coded Decimal. 4.5.Express register contents as binary, hexadecimal, octal, BCD, fixed point or floating point numbers. Question Three A. Express these numbers in binary, hexadecimal and octal formats (show all working out) 1. 85 2. 236 3. 65 4. 982 B. Convert these numbers from binary to hexadecimal and octal formats (show all your working out) 1. 10110110 2. 01101111 3. 11101111 C. Express the following in ASCII format 1. Mathematics 2. 957 3. Computing D. Express the following in Binary Coded Decimal 1. 95 2. 72 3. 36 E. Express the following values stored in a machine register as fixed point and floating point numbers 1. 6.5 2. 11.75 Challenge Question: F. These numbers are in different formats. A = 10111110 (binary) B = 66 (octal) C = B4 (hex) Find A + B + C and express this in decimal 1