Converting Number Systems

IPv4 addresses 232=4,294,967,2962^{32}=4,294,967,296

n 27262524232221202^7 2^6 2^5 2^4 2^3 2^2 2^1 2^0

Assignable IP addresses 2h22^h-2

Subnets 2s2^s

block size 256InterestingOctet256-Interesting Octet

  1. 2748÷16=1712748 \div 16 = 171 with a remainder of 1212; the hexadecimal value for 1212 is CC.
  2. 171÷16=10171 \div 16=10 with a remainder of 1111; the hexadecimal value for 1111 is BB.
  3. 10÷16=010 \div 16=0 with a remainder of 10; the hexadecimal value for 1010 is AA.
  4. The decimal value 27482748 in hexadecimal format is ABCABC.

248÷2=124 124÷2=62124÷2=62124÷2=62

\begin{equation} \begin{split} 124÷2 =62\\ 124÷2=62\\ 62÷2=31\\ 31÷2=15\\ 15÷2=7\\ 7÷2=3\\ 3÷2=1\\ 1÷2=0 \end{split} \end{equation}

1: 124÷2=62124÷2=6262÷2=3131÷2=1515÷2=77÷2=33÷2=11÷2=0124÷2 =62\\ 124÷2=62\\ 62÷2=31\\ 31÷2=15\\ 15÷2=7\\ 7÷2=3\\ 3÷2=1\\ 1÷2=0

124÷2=62124÷2=6262÷2=3131÷2=1515÷2=77÷2=33÷2=11÷2=0\begin{equation} \begin{split} 124÷2 =62\\ 124÷2=62\\ 62÷2=31\\ 31÷2=15\\ 15÷2=7\\ 7÷2=3\\ 3÷2=1\\ 1÷2=0 \end{split} \end{equation}
  • 248÷2=124248÷2=124
  • 124÷2=62124÷2=62
  • 62÷2=3162÷2=31
  • 31÷2=1531÷2=15
  • 15÷2=715÷2=7
  • 7÷2=37÷2=3
  • 3÷2=13÷2=1
  • 1÷2=01÷2=0
3ax+4by=5cz3ax<4by+5cz\begin{align*} 3ax+4by=5cz\\ 3ax<4by+5cz\\ \end{align*}

Total IPv6 2128=3.4x10382^{128}=3.4×10^{38}

A=πr22=12πr2\begin{equation} \label{eq1} \begin{split} A & = \frac{\pi r^2}{2} \\ & = \frac{1}{2} \pi r^2 \end{split} \end{equation}

slope-intercept form: y=mx+by=mx+b ;

standard quadratic form: ax2+bx+c=0ax^2+bx+c=0 ; quadratic forumal: x=b±b24ac2ax=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

speed: S=rtS=rt; distance: time:

Spacesinmathematicalmode.f(x)=x2+3x+2f(x)=x2+3x+2f(x)=x2+3x+2f(x)=x2+3x+2f(x)=x2+3x+2f(x)=x2 +3x +2f(x)=x2+3x+2f(x)=x2+3x+2Spaces in mathematical mode. \begin{align*} f(x) &= x^2\! +3x\! +2 \\ f(x) &= x^2+3x+2 \\ f(x) &= x^2\, +3x\, +2 \\ f(x) &= x^2\: +3x\: +2 \\ f(x) &= x^2\; +3x\; +2 \\ f(x) &= x^2\ +3x\ +2 \\ f(x) &= x^2\quad +3x\quad +2 \\ f(x) &= x^2\qquad +3x\qquad +2 \end{align*}

i\hbar\frac{\partial}{\partial t}\left|\Psi(t)\right>=H\left|\Psi(t)\right>

it|Ψ(t)=H|Ψ(t)i\hbar\frac{\partial}{\partial t}\left|\Psi(t)\right>=H\left|\Psi(t)\right>

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