hw02 - LSU EE 2720-2 Homework 2 Due: 28 September 2011...

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LSU EE 2720-2 Homework 2 Due: 28 September 2011 Problem 1: Perform the multiplications indicated below. Multiply the following two 8-bit unsigned binary integers into a 16-bit product: 01110010 + 10010011 . Multiply the following two 8-bit signed 2’s complement integers into a 16-bit product: 01110010 + 10010011 . The theorem numbers in the problems below are from Dr. Skavantos’ Handout 5, available via http://www.ece.lsu.edu/alex/EE2720/EE2720_HO5.pdf . Problem 2: Prove the following ( a ) Prove theorem T5 (called complement in the notes, but a better name is the damned-if-you- do,-damned-if-you-don’t theorem) by perfect (Fnite) induction. ( b ) Prove that ( x + y ) · ( z + w ) = x · z + x · w + y · z + y · w using the axioms and theorems T1 to T11 (and their duals). Do not prove it using perfect induction or by otherwise substituting values for the variables. (±or example, a proof like the following is not allowed: If x = 0 the statement becomes y · ( z + w ) = y · z + y
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This note was uploaded on 11/23/2011 for the course EE 2270 taught by Professor Staff during the Fall '09 term at LSU.

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hw02 - LSU EE 2720-2 Homework 2 Due: 28 September 2011...

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