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CGS3269 Computer Architecture Concepts – Fall 2017 – Midterm Exam 1 - SAMPLEHistorical Perspective (20)1.(10) Who created the Analytical Engine?2.(10) What is the key component of the third generation of electronic computers as invented by Jack Kilby (i.e,the generation following transistors)?Binary Numbers (40) –Show your work!3.(5) Convert the decimal integer 36 to binary.4.(10) Convert the decimal fraction .75 to binary.5.(15) Now convert the number 36.75 to unbiased floating point without any implied 1s in the significand.Useone bit for sign, five bits for the exponent and eight bits for the significand.6.(10) Convert the 15-biased floating point number [1 1010 0001110]to decimal.There are no implied 1s inthe significand.Boolean and Digital Logic (40)7.(10) Write out the truth table for𝐹𝐹(𝐴𝐴,𝐵𝐵,𝐶𝐶,𝐷𝐷) = (𝐴𝐴𝐷𝐷) + (𝐶𝐶𝐷𝐷) + (𝐴𝐴𝐵𝐵)8.(10) Write out the truth table for𝐹𝐹(𝐴𝐴,𝐵𝐵,𝐶𝐶,𝐷𝐷) = (𝐴𝐴⨁𝐶𝐶)(𝐵𝐵⨁𝐷𝐷).9.(10) Draw a diagram for a circuit that computes𝐹𝐹(𝐴𝐴,𝐵𝐵,𝐶𝐶,𝐷𝐷) = (𝐴𝐴𝐷𝐷) + (𝐶𝐶𝐷𝐷) + (𝐴𝐴𝐵𝐵).Make sure you note theintermediate values at each connection.10..