   Chapter 7.1, Problem 32ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
1 views

# Cosider the three-place Boolean function f defined by the following rule: For each triple ( x 1 , x 2 , x 3 ) of 0’s and 1’s.   f ( x 1 , x 2 , x 3 ) = ( 4 x 1 + 3 x 2 + 2 x 3 )   mod   2. Find f ( 1 , 1 , 1 ) and f ( 0 , 0 , 1 ) . Describe f using an input/output table.

To determine

(a)

Find f(1,1,1) and f(0,0,1).

Explanation

Given information:

f(1,1,1)and f(0,0,1)

Concept used:

f(x1,x2,x3)=(4x1+3x2+2x3)mod2

Calculation:

Objective is to find f(1,1,1) and f(0,0,0).

For this consider,

f(1,1,1)=(4×1+3×1+2×

To determine

(b)

Describe f using an input/output table.

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