Perform the following conversions: (i) -1810 to 6 bit 2’s complement. (ii) ABC16 to base 2. (iii) 0.510 to base 2.
Questions from previous year's practice exams the professor did not give answers for
(a) Perform the following conversions:
(i) -1810 to 6 bit 2’s complement.
(ii) ABC16 to base 2.
(iii) 0.510 to base 2.
(b) Give a logic equation in sum-of-products form for the logic function F specified by the following truth table. Simplify your logic equation to the maximum extent possible.
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(c) Consider the addition of 4 bit values a3a2a1a0 and b3b2b1b0. Give a logic function for the “carry-in” to the most significant bit position, using quantities gi = ai · bi , pi = ai + bi , and the “carry-in” to the least significant bit position CarryIn0.
(d) Give a truth table for a 2 data input, 1 selector input multiplexor.
(e) The IEEE 754 floating point standard allows some numbers to be represented in unnormalized form (called denormalized numbers, or “denorms”). Why?
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