HW2903_2 - ELEG 2903 CENG 2113 HW#2(due Tuesday September...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
ELEG 2903 / CENG 2113: HW#2 (due Tuesday, September 23) Each question is worth 1 point, for a total of 17 points. Show your work, and check your answers. 1) Prove the following relationships using Boolean Algebra by manipulating the left side of the equality until it is the same as the right side. State the specific law/identity used at each step. a) xy + xy’ + x’y’ = x + y’ b) xy + yz + x’z = xy + x’z (consensus theorem) c) (x + y)(y + z)(x + z) = xy + yz + xz 2) Construct the truth table for the following function: f(x, y, z) = yz + (x’ + y)(x’ + z’) 3) For the following truth table, write the corresponding SOP canonical formula in algebraic form and minterm form. x y z | f 0 0 0 | 1 0 0 1 | 1 0 1 0 | 0 0 1 1 | 1 1 0 0 | 0 1 0 1 | 1 1 1 0 | 1 1 1 1 | 0 4) For the following truth table, write the corresponding POS canonical formula in algebraic form and maxterm form. w x y z | f 0 0 0 0 | 0 0 0 0 1 | 1 0 0 1 0 | 1 0 0 1 1 | 0 0 1 0 0 | 1 0 1 0 1 | 0 0 1 1 0 | 1 0 1 1 1 |
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

This note was uploaded on 11/20/2008 for the course ELEG 2903 taught by Professor Smith during the Fall '08 term at Arkansas.

Page1 / 2

HW2903_2 - ELEG 2903 CENG 2113 HW#2(due Tuesday September...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online