ITI 1100 Study Guide - Midterm Guide: Boolean Function, Logic Gate, Binary Number

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Iti1100 digital systems i midterm examination winter 2013 p. 2/10. Question 1 (40 points: 15 + 10+ 15): (a) Convert the following binary into (i) decimal, (ii) octal et (iii) hexadecimal. = 0. 8125 (10100001111. 1101)2 = 1295. 8125 (ii) to octal (10100001111)2. Iti1100 digital systems i midterm examination winter 2013 p. 3/10. _______________________________________________________________________ (b) perform the following operation using 10"s complement (162)10 (27)10. [n]r = rn (n)r n = 3 r = 10. 10"s complement of (27)10 = 973 (162)10 (27)10 = (162)10 + 10"s complement of (27)10. Iti1200 digital systems i midterm examination winter 2011: 4/10 (c) convert the following numbers into binary and perform the arithmetic operations in (i) and (ii) using signed binary numbers with 2"s complement. Use 7 bits to represent the integer part of decimal numbers and the sign bit. Use three bits to represent the fractional part. (i) (ii) (4. 5)10 (9)10 (8. 5)10 + (9)10 (4. 5)10 = 0000100. 100 (9)10 = 0001001. 000.

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