Scientific Calculations; Arithmetic Operations; Constant Calculations - Sharp EL-W516T Operation Manual

The Line Editor
1
mal point
Entry and display
In the Line editor, you can enter and display equations line by line.
ENG) is
Notes:
value
• Up to three lines of text may be viewed on the screen at one time.
• In the Line editor, calculation results are displayed in decimal form
or line fraction notation if possible.
ring 0
• Use U to switch the display format to fractional form or decimal
form (if possible).
otation
Editing the Equation
layed in
Just after obtaining an answer, pressing l brings you to the end
of the equation and pressing r brings you to the beginning. Press
99,999
l, r, u, or d to move the cursor. Press @ l
or @ r to jump the cursor to the beginning or the end of the
2
equation.
Back space and delete key
or. To delete a number or function, move the cursor to the right of it, then
press N. You can also delete a number or function that the cursor is
directly over by pressing @ y.
Note: In a multi-level menu, you can press N to back to the
previous menu level.
MATH Menu
rmat or
Other functions may be available on this calculator besides those
ssible.
printed on the key pad. These functions are accessed using the MATH
on
p
menu. The MATH menu has different contents for each mode.
ding
Press N to display the MATH menu.
Note: The N key cannot be used in the simulation calculations and
that can
solver functions of NORMAL mode, or in the item and value
input screens of other modes.
Multi-line Playback Function
Press
This calculator is equipped with a function to recall previous equations
and answers in NORMAL or COMPLEX modes. Pressing u will
display the previous equation. The number of characters that can be
saved is limited. When the memory is full, stored equations will be
m
deleted to make room, starting with the oldest.
• To edit an equation after recalling it, press l or r.
1),
• The multi-line memory will be cleared by the following operations:
or
@ Z , mode change, RESET, N-base conversion, angular unit
conversion, editor change (@ J 2 0 0, @ J
3
2 0 1 or @ J 2 1), and memory clear
(@ P 1 0).
g
Priority Levels in Calculation
This calculator performs operations according to the following priority:
∠
Fractions (1m4, etc.) , Engineering prefixes
the 1 2
x −
preceded by their argument ( 1 ,
multiplication of a memory value (2Y, etc.)
e
Functions followed by their argument (sin, cos, (
6
multiplication of a function (2sin 30, A
× ÷ + −
cv , , int÷ , AND
9 10 11
M, ►DEG, ►RAD, ►GRAD,
a dot
ending instructions
• If parentheses are used, parenthesized calculations have
precedence over any other calculations.

SCIENTIFIC CALCULATIONS

Arithmetic Operations

wer off,
• The closing parenthesis ) just before = or m may be
omitted.

Constant Calculations

flashing
• In constant calculations, the addend becomes a constant.
rs.
Subtraction and division are performed in the same manner. For
multiplication, the multiplicand becomes a constant.
r to the
• In constant calculations, constants will be displayed as K.
• Constant calculations can be performed in NORMAL or STAT modes.
s.
Conversion to Engineering notation
You can use ; < or ; > to convert the calculation result
to engineering notation.
• Press ; < to decrease the exponent. Press ; > to
N
4
increase the exponent.
• The settings (FSE) in the SET UP menu do not change.
Functions
• Refer to the calculation examples for each function.
ain
• In the Line editor, the following symbols are used:
• : to indicate an expression's power. (m, @ ", @
Y)
• : to separate integers, numerators, and denominators. (W,
ted)
@ k)
s, r,
• When using @ O or @ W in the Line editor, values are
llowing
entered in the following way:
• logn (base, value)
r
• abs value
Integral/Differential Functions
oots)
Integral and differential calculations can be performed in NORMAL
mode.
Note: Since integral and differential calculations are performed
r:
based on the following equations, correct results may not
be obtained, in certain rare cases, when performing special
calculations that contain discontinuous points.
lue
Integral calculation (Simpson's rule):
of 15
1
 (a + 3h) + ... +
S = (a) + 4{ (a + h) +
h{ f f f
1
 p
f
3
12
(a + 4h) + ... +
+ 2{ (a + 2h) +
f f
50

of
3
ons, the
ght.
f´(x) = —
hat uses
Differential calculation:
as a
Performing integral calculations
1. Press ; F.
2. Specify the following parameters: range of integral (initial value (
value (
You do not need to specify the number of subintervals. If the
number of subintervals is not specified, the default value of
n
3. Press =.
Notes:
• Parameters are entered in the following way:
WriteView editor:
a
• Integral calculations,
depending on the
integrands and
subintervals included,
require longer
calculation time.
During calculation,
the BUSY symbol
will be displayed. To
cancel calculation,
press j.
Note that there will
be greater integral errors when there are large fluctuations in the
integral values during minute shifting of the integral range and for
periodic functions, etc., where positive and negative integral values
exist depending on the interval.
For the former case, divide integral intervals as small as possible.
For the latter case, separate the positive and negative values.
Following these tips will allow you to obtain results from calculations
with greater accuracy and will also shorten the calculation time.
5
Performing differential calculations
1. Press ; G.
2. Specify the following parameters: function with variable x, value of
x, and minute interval (
You do not need to specify the minute interval. If the minute interval
is not specified, it will automatically be set to 10
x
|
3. Press =.
Note: Parameters are entered in the following way:
Functions
3
∑ Function
x x , x r
y
2 , n!,(%), etc.) Implied
4 5
∑
The
−
an initial value to an end value in NORMAL mode.
), etc.) Implied
7
1

, etc.) nCr, nPr, GCD, LCM,
8
4 Performing
= + −
OR, XOR, XNOR , M , M ,
12 13
q xy
1. Press ; I.
r , , and other calculation
2. Specify the following parameters: initial value, end value, function
with variable
You do not need to specify the increment. If the increment is not
specified, the default value of
3. Press =.
Note: Parameters are entered in the following way:
6
7
Π Function
Π
The
initial value to an end value in NORMAL mode.
Performing
8
1. Press ; ;.
2. Specify the following parameters: initial value, end value, function
with variable
You do not need to specify the increment. If the increment is not
specified, the default value of
3. Press =.
Note: Parameters are entered in the following way:
9
Random Function
The random function has four settings. (This function cannot be
selected while using the N-base function.) To generate further random
numbers in succession, press e. Press j to exit.
Random numbers
10
A pseudo-random number, with three significant digits from 0 up to
0.999, can be generated by pressing @ w 0 e.
Note: In the WriteView editor, if the result is not 0 it can be shown as
Random dice
To simulate a die-rolling, a random integer between 1 and 6 can be
( )
generated by pressing @ w 1 e.
h = b − a

(a + (N − 1)h)}
f Random coin
N
To simulate a coin flip, 0 (heads) or 1 (tails) can be randomly
(a + (N − 2)h)} +
f f (b)}
= 2n
N
generated by pressing @ w 2 e.
a ≤ x ≤ b
Random integer
dx dx
 
f(x + ) − f(x − )
You can specify a range for the random integer with "R.Int(" only.
2 2
R.Int(minimum value, maximum value)
dx
For example, if you enter @ w 3 1 H 99 ) e, a
random integer from 1 to 99 will be generated.
as "NORM1", and N2 as "NORM2".
b
)), function with variable x, and number of subintervals (
= 100 will be used.
Line editor:
b
a
dx b
function[, subintervals] (function, , [, subintervals])
y
a
x
a
b
x x
0 1
x
2
x
3
x
d
).
−
× x ≠
−
| 10 5 (while 0).
WriteView editor:
d |
(function)
–
x = x
dx
value of [, minute interval]
Line editor:
x
d dx
/ (function, value of [, minute interval])
function returns the cumulative sum of a given expression from
∑
calculations
x n
, and increment ( ).
n
= 1 will be used.
WriteView editor:
end value
Σ
(
)
function[, increment]
x
= initial value
Line editor:
Σ
(function, initial value, end value[, increment])
function returns the product of a given expression from an
Π
calculations
x n
, and increment ( ).
n
= 1 will be used.
WriteView editor:
end value
Π
(
)
function[, increment]
x
= initial value
Line editor:
Π
(function, initial value, end value[, increment])
a fraction or decimal using U.
2/9
Angular Unit Conversions
Each time @ ] is pressed, the angular unit changes in sequence.
a
), end
Memory Calculations
n
).
Temporary memories (A–F, X and Y)
Press x and a variable key to store a value in memory.
Press t and a variable key to recall the value from that memory. To
place a variable in an equation, press ; and a variable key.
Independent memory (M)
In addition to all the features of temporary memories, a value can be
added to or subtracted from an existing memory value.
Press j x M to clear the independent memory (M).
Last answer memory (ANS)
The calculation result obtained by pressing = or any other calculation
ending instruction is automatically stored in the last answer memory.
When the calculation result is in matrix or vector form, the full matrix
or vector is not stored into ANS memory. Only the value of the element
covered by the cursor is stored.
y
x x
0 2
Notes:
b
• Calculation results from the functions indicated below are automatically
x
stored in the X or Y memories replacing any existing values.
x x
1 3
xy
r q
• , : X memory (
x
• Two ´ values from a quadratic regression calculation in STAT mode:
X memory (1:), Y memory (2:)
• Use of t or ; will recall the value stored in memory using up to
14 digits.
• A - F, X, Y memory cannot be used in COMPLEX mode.
Definable memories (D1–D3)
You can store functions or operations in definable memories (D1–D3).
• To store a function or operation, press x, followed by a definable
memory key (I, J, or K), followed by the operation you
want to store. Menu-related operations, such as @ J, cannot be
stored. Press j to return to the previous display.
• To call a stored function or operation, press the corresponding memory
key. Calling a stored function will not work if the function that is called
x =
would be unusable in the current context.
5 (while 0), or
• Any functions or operations that are stored in a definable memory will
be replaced when you save a new one into that memory.
• Functions cannot be saved in a definable memory from the simulation
calculations and solver functions of NORMAL mode, or from the item
and value input screens of other modes.
Memory List
Press ; 9 to display a list of the values saved in memory.
The values are shown in a 9-character range.
Applicable memories: A, B, C, D, E, F, X, Y, M
11
• In COMPLEX mode, only M memory is displayed.
Chain Calculations
The previous calculation result can be used in the subsequent
calculation. However, it cannot be recalled after entering multiple
instructions or when the calculation result is in matrix/vector format.
Fraction Calculations
Arithmetic operations and memory calculations can be performed using
fractions. In NORMAL mode, conversion between a decimal number and
a fraction can be performed by pressing U.
Notes:
• Improper/proper fractions will be converted to and displayed as decimal
numbers if the number of digits used in their expression is greater
than nine. In the case of mixed fractions, the maximum number of
displayable digits (including integers) is eight.
• To convert a sexagesimal value to a fraction, first convert it by pressing
@ :.
12
Binary, Pental, Octal, Decimal, and Hexadecimal
Operations (N-base)
Conversions can be performed between N-base numbers in NORMAL
mode. The four basic arithmetic operations, calculations with
parentheses, and memory calculations can also be performed, along with
the logical operations AND, OR, NOT, NEG, XOR, and XNOR on binary,
pental, octal, and hexadecimal numbers.
Note: The hexadecimal numbers A–F are entered by pressing m
B C
, A , l
*
In the binary, pental, octal, and hexadecimal systems, fractional parts
cannot be entered. When a decimal number having a fractional part
is converted into a binary, pental, octal, or hexadecimal number, the
fractional part will be truncated. Likewise, when the result of a binary,
pental, octal, or hexadecimal calculation includes a fractional part,
the fractional part will be truncated. In the binary, pental, octal, and
hexadecimal systems, negative numbers are displayed as a complement.
Time, Decimal, and Sexagesimal Calculations
You can convert between decimal and sexagesimal numbers, and from
sexagesimal numbers to seconds or minutes. In addition, the four basic
arithmetic operations and memory calculations can be performed using
the sexagesimal system. Notation for sexagesimal is as follows:
Degree
Coordinate Conversions
• Before performing a calculation, select the angular unit.
• The results of coordinate conversions will be displayed as decimal
numbers even in the WriteView editor.
Rectangular coord.
13
14
r x q y
or ), Y memory ( or )
15
16
17
A
,
D E F
, i , and H .
18
Second
Minute
19
Polar coord.
Physi
Calcul
To recal
from the
• To sc
Use
last
• Ente
cont
• Whe
auto
• Phys
STAT
Note: P
2
o
(
T
No.
01 Sp
02 Ne
03 St
04 El
05 Pr
06 N
07 M
08 At
re
09 El
10 Pl
11 Bo
12 M
13 El
14 C
15 Fi
16 Bo
17 R
18 M
19 Bo
20 El
21 N
22 Pr
23 N
24 M
25 C
26 Pr
Metric
Enter a
convers
• The
phys
• Unit
STAT
No.
01 in
02 c
03 ft
04 m
05 y
06 m
07 m
08 k
09 n
10 m
11 a
12 m
13 o
14 g
15 lb
16 k
17 °F
18 °C
19 g
20 L
21 g
22 L
*1 base
Calcu
Calculat
the follo
Modif
Decima
with up
displaye
of decim
that sho
the inter
displaye
• When
using
decim
• The m
VECT