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Base-n Calculations

When you want to perform calculations using decimal, hexadecimal, binary, and/or octal values, launch the Base-N app. Press , select the Base-N app icon, and then press . The initial default number mode setting when you launch the Base-N app is decimal.

After launching the Base-N app, use to switch number modes.

Each press of cycles through the number modes as shown below.

(1) [Decimal]

(2) [Hexadecimal]

(3) [Binary]

(4) [Octal]


Note

The subscripts appended to the values shown in the examples indicate the base (number mode) of each value.
Example: 12 ... Binary 1; 116 ... Hexadecimal 1


Example 1: To calculate 112 + 12

1. Use to change the number mode to [Binary].

2. Perform the calculation 112 + 12.

  • 111

Example 2: To calculate 1F16 + 116 in hexadecimal

1. Use to change the number mode to [Hexadecimal].

2. Perform the calculation 1F16 + 116.

  • 1(F)1

Note

Use the following keys to input the letters A through F for hexadecimal values: (A), (B), (C), (D), (E), (F). You can also input hexadecimal values using the CATALOG menu items shown below.
– [Hex Value] > [A], [B], [C], [D], [E], or [F]

Note that if you input any character from A through F using the operation below, the character will be treated as a variable name, and not as a hexadecimal value.

(1) Press to display the variable list screen.

(2) Select [A=], [B=], [C=], [D=], [E=], or [F=], and then press .

(3) On the menu that appears, select [Recall].

In the Base-N app, input of fractional (decimal) values and exponents is not supported. If a calculation result has a fractional part, it is cut off.

Details about input and output ranges (32 bits) are shown below.

Base Range
Binary Positive: 00000000000000000000000000000000 ≤ x ≤ 01111111111111111111111111111111 Negative: 10000000000000000000000000000000 ≤ x ≤ 11111111111111111111111111111111
Octal Positive: 00000000000 ≤ x ≤ 17777777777 Negative: 20000000000 ≤ x ≤ 37777777777
Decimal -2147483648 ≤ x ≤ 2147483647
Hexadecimal Positive: 00000000 ≤ x ≤ 7FFFFFFF Negative: 80000000 ≤ x ≤ FFFFFFFF

A Math ERROR occurs when a calculation result is outside the applicable range for the number system being used.

Specifying the Number Mode of a Particular Input Value

You can input a special command immediately before a value to specify the number mode of that value. The special commands are: d (decimal), h (hexadecimal), b (binary), and o (octal).


Example 3: To calculate 1010 + 1016 + 102 + 108 and display the result as a decimal value

1. Use to change the number mode to [Decimal].

2. Perform the calculation 1010 + 1016 + 102 + 108.

  • – [Base Prefix] > [Decimal(d)] 10
    – [Base Prefix] > [Hexadecimal(h)] 10
    – [Base Prefix] > [Binary(b)] 10
    – [Base Prefix] > [Octal(o)] 10

Converting a Calculation Result to Another Type of Value

You can use to convert the currently displayed calculation result to another type of value.


Example 4: To calculate 1510 × 3710 in the decimal mode, and then convert the result to hexadecimal

1. Use to change the number mode to [Decimal].

2. Perform the calculation 1510 × 3710.

  • 1537

3. Use to change the number mode to [Hexadecimal].

Logical and Negation Operations

Logical and negation operations are performed by pressing and selecting [Logic Operation], and then selecting the desired command (Neg, Not, and, or, xor, xnor) from the menu that appears. All of the examples below are performed in the binary mode.


Example 5: To determine the logical AND of 10102 and 11002 (10102 and 11002)

  • 1010
    – [Logic Operation] > [and]
    1100

Example 6: To determine the bitwise complement of 10102 (Not(10102))

  • – [Logic Operation] > [Not]
    1010

Note

In the case of a negative binary, octal or hexadecimal value, the calculator converts the value to binary, takes the two’s complement, and then converts back to the original number base. For decimal values, the calculator merely adds a minus sign.

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