Trident Help

Natural Scientific 991 manual · Chapter 9 of 18

Number bases (Base-N)

Work in binary, octal, decimal and hexadecimal, with and, or, xor, xnor, Not and Neg.

9.1Open Base-N and choose a base#

Press MENU then 3. The calculator starts in decimal. In this app the top keys change their job so you can choose the base and type the hexadecimal digits A to F.

KeyDoes this in Base-N
x²DEC: show and type in decimal.
xHEX: hexadecimal.
logBIN: binary.
lnOCT: octal.
(−) °'" hyp sin cos tanHex digits A, B, C, D, E, F.

The base you choose is used both for typing and for the display of the answer. Press a base key after an answer to see the same number in that base. Hex, binary and octal answers are padded to 32 bits.

Example 9.1

Decimal to binary

  1. Open Base-N and calculate 255.

    MENU3255=

  2. Press the BIN key.

    log
Result of the example "Decimal to binary" The display shows: 255 / 00000000000000000000000011111111.
You should see00000000000000000000000011111111
Example 9.2

Decimal to hexadecimal

  1. 255, then HEX.

    MENU3255=x
Result of the example "Decimal to hexadecimal" The display shows: 255 / 000000FF.
You should see000000FF
Example 9.3

Decimal to octal

  1. 255, then OCT.

    MENU3255=ln
Result of the example "Decimal to octal" The display shows: 255 / 00000000377.
You should see00000000377
Example 9.4

Type hexadecimal digits

  1. HEX, then A and B, equals.

    MENU3x(−)°'"=
Result of the example "Type hexadecimal digits" The display shows: AB / 000000AB.
You should see000000AB
Example 9.5

Hexadecimal back to decimal

  1. HEX, type FF.

    MENU3xtantan=

  2. Press DEC.

    x²
Result of the example "Hexadecimal back to decimal" The display shows: FF / 255.
You should see255
Example 9.6

Binary to decimal

  1. BIN, type 101, then DEC.

    MENU3log101=x²
Result of the example "Binary to decimal" The display shows: 101 / 5.
You should see5
The Base-N app
The Base-N app

9.2Logic operations: and, or, xor, xnor#

Press OPTN in Base-N for the logic list. It also lets you mark a single number with a base: d (decimal), h (hex), b (binary), o (octal).

OPTN numberItem
1and
2or
3xor
4xnor
5Not( (flips every bit)
6Neg( (two's complement negative)
7d (decimal number)
8h (hexadecimal number)
9b (binary number)
10 (scroll with up)o (octal number)
Example 9.7

12 and 10

  1. Type 12, OPTN 1 (and), 10.

    MENU312OPTN110=
Result of the example "12 and 10" The display shows: 12 and 10 / 8.
You should see8
Example 9.8

5 xor 3

  1. Type 5, OPTN 3, 3.

    MENU35OPTN33=
Result of the example "5 xor 3" The display shows: 5 xor 3 / 6.
You should see6
Example 9.9

5 or 3

  1. Type 5, OPTN 2, 3.

    MENU35OPTN23=
Result of the example "5 or 3" The display shows: 5 or 3 / 7.
You should see7
Example 9.10

Not 0

  1. OPTN 5, 0, close the bracket.

    MENU3OPTN50)=
Result of the example "Not 0" The display shows: Not(0) / -1.
You should see-1
Example 9.11

Neg 5 in hexadecimal

  1. HEX, then OPTN 6, 5.

    MENU3xOPTN65)=
Result of the example "Neg 5 in hexadecimal" The display shows: Neg(5) / FFFFFFFB.
You should seeFFFFFFFB
Example 9.12

Mark a number as decimal inside HEX

  1. HEX, then d10 + 1.

    MENU3xOPTN710+1=
Result of the example "Mark a number as decimal inside HEX" The display shows: d10+1 / 0000000B.
You should see0000000B
The Base-N OPTN menu The display shows: 1:and / 2:or / 3:xor / 4:xnor.
The Base-N OPTN menu

9.3Limits of Base-N#

Values are whole numbers of up to 32 bits. Division gives the whole-number part (7÷2 is 3). In BIN, only 0 and 1 may be typed; a digit that is not allowed in the current base gives a Syntax ERROR. A result outside the 32-bit range gives a Math ERROR.

Example 9.13

Integer division

  1. 7 ÷ 2.

    MENU37÷2=
Result of the example "Integer division" The display shows: 7÷2 / 3.
You should see3
Example 9.14

A bad digit in binary

  1. BIN, type 2.

    MENU3log2=
Result of the example "A bad digit in binary" The display shows: Syntax ERROR / [AC] :Cancel / [◀][▶]:Goto.
You should seeSyntax ERROR
Example 9.15

Negative numbers in binary

  1. 1 − 2, then BIN.

    MENU31−2=log
Result of the example "Negative numbers in binary" The display shows: 1−2 / 11111111111111111111111111111111.
You should see11111111111111111111111111111111

fx-991EX ClassWiz is a trademark of Casio Computer Co., Ltd.. Trident Calculator is an independent product by South View Studios and is not affiliated with, sponsored by or endorsed by Casio. The name is used only to describe the kind of calculator this model resembles; Trident's names, keys, display, fonts and software are its own clean-room design.