Chapter 6, Problem 1P

To determine

(a) To evaluate:

The expression $12-4<5\times 3$ without using MATLAB, then check the answer with MATLAB.

Answer to Problem 1P

Solution:

The value of the expression $12-4<5\times 3$ is $1$.

Explanation of Solution

The given expression is,

$12-4<5\times 3$

Assign $1$ if the comparison is correct otherwise assign $0$.

Simplify the above equation,

$\begin{array}{l}\Rightarrow 12-4<5\times 3\\ \Rightarrow 8<15\\ \Rightarrow 1\end{array}$

Write the MATLAB script to evaluate the expression $12-4<5\times 3$.

MATLAB Code:

%Evaluate the expression

12-4<5.*3

%Assign 1 if the comparison is correct otherwise assign 0.

Save the MATLAB script with name, Chapter6_29864_6_1Pa.m in the current folder. Execute the script by typing the script name at the command window to evaluate the expression $6\times 4>32-3$.

Result:

To determine

(b) To evaluate:

The expression $y=8/4>6\times 3-4^2>-3$ without using MATLAB, then check the answer with MATLAB.

Answer to Problem 1P

Solution:

The value of the expression $y=8/4>6\times 3-4^2>-3$ is $1$.

Explanation of Solution

The given expression is,

$y=8/4>6\times 3-4^2>-3$

Assign $1$ if the comparison is correct otherwise assign $0$.

Simplify the above equation,

$\begin{array}{c}\Rightarrow y=8/4>6\times 3-4^2>-3\\ \Rightarrow \left(2>2\right)>-3\\ \Rightarrow 0>-1\\ \Rightarrow 1\end{array}$

Write the MATLAB script to evaluate the expression $y=8/4>6\times 3-4^2>-3$.

MATLAB Code:

%Evaluate the expression

y = 8/4>6*3-4^2>-3

%Assign 1 if the comparison is correct otherwise assign 0.

Save the MATLAB script with name, Chapter6_29864_6_1Pb.m in the current folder. Execute the script by typing the script name at the command window to evaluate the expression $y=8/4>6\times 3-4^2>-3$.

Result:

To determine

(c) To evaluate:

The expression $y=-3<\left(8-12\right)+2\times {\left(5>18/6-4\right)}^2$ without using MATLAB, then check the answer with MATLAB.

Answer to Problem 1P

Solution:

The value of the expression $y=-3<\left(8-12\right)+2\times {\left(5>18/6-4\right)}^2$ is $1$.

Explanation of Solution

The given expression is,

$y=-3<\left(8-12\right)+2\times {\left(5>18/6-4\right)}^2$

Assign $1$ if the comparison is correct otherwise assign $0$.

Simplify the above equation,

$\begin{array}{c}\Rightarrow y=-3<\left(8-12\right)+2\times {\left(5>18/6-4\right)}^2\\ \Rightarrow -3<\left(-4\right)+2\times \left(25>1\right)\\ \Rightarrow -3<\left(-4\right)+2\\ \Rightarrow 1\end{array}$

Write the MATLAB script to evaluate the expression $y=-3<\left(8-12\right)+2\times {\left(5>18/6-4\right)}^2$.

MATLAB Code:

%Evaluate the expression

y=-3<(8-12)+2*(5>18/6-4)^2

%Assign 1 if the comparison is correct otherwise assign 0.

Save the MATLAB script with name, Chapter6_29864_6_1Pc.m in the current folder. Execute the script by typing the script name at the command window to evaluate the expression $y=-3<\left(8-12\right)+2\times {\left(5>18/6-4\right)}^2$.

Result:

To determine

(d) To evaluate:

The expression $\left(\sim 5+\sim 0\right)\times 6==3+3\times \sim 0$ without using MATLAB, then check the answer with MATLAB.

Answer to Problem 1P

Solution:

The value of the expression $\left(\sim 5+\sim 0\right)\times 6==3+3\times \sim 0$ is $1$.

Explanation of Solution

The given expression is,

$\left(\sim 5+\sim 0\right)\times 6==3+3\times \sim 0$

The sign $~$ represents $\text{NOT}$ operation. Assign $0$ if $\text{NOT}$ operation contains non-zero term otherwise assign $1$.

Assign $1$ if the comparison is correct otherwise assign $0$.

Simplify the above equation,

$\begin{array}{l}\Rightarrow \left(\sim 5+\sim 0\right)\times 6==3+3\times \sim 0\\ \Rightarrow 6==6\\ \Rightarrow 1\end{array}$

Write the MATLAB script to evaluate the expression $\left(\sim 5+\sim 0\right)\times 6==3+3\times \sim 0$.

MATLAB Code:

%Evaluate the expression

(~5+~0)*6==3+3*~0

%Assign 1 if the comparison is correct otherwise assign 0.

Save the MATLAB script with name, Chapter6_29864_6_1Pd.m in the current folder. Execute the script by typing the script name at the command window to evaluate the expression $\left(\sim 5+\sim 0\right)\times 6==3+3\times \sim 0$.

Result: