Solutions for Fundamentals of Digital Logic with VHDL Design, 4th Edition Brown (All Chapters included)
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Module
Digital technician
Institution
Digital Technician
Complete Solutions Manual for Fundamentals of Digital Logic with VHDL Design, 4th Edition by Stephen Brown and Zvonko Vranesic ; ISBN13: 9780073380728.....(Full Chapters included Chapter 1 to 11)...***CH 10 SOLUTION NOT AVAILABLE***.1 Introduction
2 Introduction to Logic Circuits
3 Number Represe...
,Chapter 2
2.1. The proof is as follows:
(x + y) · (x + z) = xx + xz + xy + yz
= x + xz + xy + yz
= x(1 + z + y) + yz
= x · 1 + yz
= x + yz
2.2. The proof is as follows:
(x + y) · (x + y) = xx + xy + xy + yy
= x + xy + xy + 0
= x(1 + y + y)
= x·1
= x
2.3. Manipulate the left hand side as follows:
xy + yz + xz = xy + (x + x)yz + xz
= xy + xyz + xyz + xz
= xy(1 + z) + x(y + 1)z
= xy · 1 + x · 1 · z
= xy + xz
2.4. Proof using Venn diagrams:
x y x y
z z
x x+y
x y x y
z z
y⋅z x+z
x y x y
z z
x+y⋅z ( x + y)( x + z)
2-1
, 2.5. Proof of 15a using Venn diagrams:
x y x y
x⋅y x
x y x y
x⋅y y
x y
x⋅y
A similar proof is constructed for 15b.
2.6. Proof using Venn diagrams:
x1 x2 x1 x2
x3 x3
x1 + x2 + x3 x1 + x2
x1 x2
x3
x1 + x2 + x3
x1 x2
x3
( x1 + x2 + x3 ) ⋅ ( x1 + x2 + x3 )
2-2
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