​​​ Assignment 1: Data representation & Digital logic Value: 15% Due date: 03-Apr-2016 Return date: 26-Apr-2016 Submission method options Alternative submission method Task Total marks: 15 Answer the following Questions Question 1 a) Determine the value of base x if (211)x = (152)8 [2 marks] b) A computer stores all integers in 8 bits. The computer also uses 2's complement method for representing negative numbers and IEEE 754 single precision representation for storing floating point values. Please show how the following values(in decimal) would be stored in the computer: [2+2=4 marks] i) -35 ii) -22.625 Question 2. a) Express the switching circuit shown in the figure below in binary logic notation: [2 marks] b) Write Boolean expressions and construct the truth table describing the outputs of the circuit depicted by the following logic diagram: [2+2=4 marks] c) Using basic Boolean algebra identities for Boolean variables A, B and C, prove that ABC+ ABC' + AB'C + A'BC = AB + AC + BC. Please show all steps and mention the identities used. [3] Online submission via Turnitin is required for this assignment. Details will be provided by your subject lecturer.