Taking the Face Value

Number Theory Level 1

What is the value of

$FACE_{16} ?$

44271 64206 175316 15101214

3 solutions

Shashank Sharma
Oct 28, 2014

F = 15
A = 10
C = 12
E = 14
$15\times 16^3 + 10\times 16^2 + 12\times 16^1 + 14\times 16^0 \\ = 64206$

Yay! I added a pic of my face for this question :)

Calvin Lin Staff - 6 years, 7 months ago

Lol,that's what it means and yeah it has been used frequently in computer :)

Frankie Fook - 6 years, 2 months ago

so its basically a countdown from how many numbers there are and that decides what power its raised at?

Funny Ryguy - 2 years, 5 months ago

Thiago Baldissarelli
Nov 2, 2014

14x16^0 + 12x16^1 + 10x16^2 + 15x16^3

14x1 + 12x16 + 10x256 + 15*4096

14 + 192 + 2560 + 61449

64206

A Former Brilliant Member
Mar 7, 2016

Hexadecimal

$\displaystyle{\begin{aligned} \text{FACE} &= (\ce{F} \cdot 16^3)+(\ce{A} \cdot 16^2)+(\ce{C} \cdot 16^1)+(\ce{E} \cdot 16^0 ) \quad\quad\quad\quad\quad{\text{F=15; A=10; C=12; E = 14}} \\&=(61440)+(2560)+(192)+(14) \\& = 64206 \space\space \square \end{aligned} }$

$\LARGE \text{ADIOS!!!}$

¿Cómo determinas los valores de cada letra?

Elias Paredes - 5 years ago

En:Study the rule of Hexadecimal Es: estudiar el estado de hexadecimal

where: dónde:

Binary/ binario | Hexadecimal $1$ $-$ $1$

$2$ $-$ $2$

$3$ $-$ $3$

$4$ $-$ $4$

$5$ $-$ $5$

$6$ $-$ $6$

$7$ $-$ $7$

$8$ $-$ $8$

$9$ $-$ $9$

$10$ $-$ $\ce{A}$

$11$ $-$ $\ce{B}$

$12$ $-$ $\ce{C}$

$13$ $-$ $\ce{D}$

$14$ $-$ $\ce{E}$

$15$ $-$ $\ce{F}$

$16$ $-$ $10$

$...$

$\ce{ADIOS!!!}$

A Former Brilliant Member - 5 years ago

Lol, look who is in this handsome picture XD (≧▽≦)

Ashish Menon - 5 years ago

@Ashish Menon – where you saw ? ?

A Former Brilliant Member - 5 years ago

if e is multiplied by 0 why does it end up being 14

Funny Ryguy - 2 years, 5 months ago

Taking the Face Value

3 solutions

0 pending reports