HP 33s hp 33s_user's manual_English_E_HDPM20PIE56.pdf - Page 142
The Representation of Numbers, Negative Numbers
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The Representation of Numbers Although the display of a number is converted when the base is changed, its stored form is not modified, so decimal numbers are not truncated - until they are used in arithmetic calculations. When a number appears in hexadecimal, octal, or binary base, it is shown as a right-justified integer with up to 36 bits (12 octal digits or 9 hexadecimal digits). Leading zeros are not displayed, but they are important because they indicate a positive number. For example, the binary representation of 12510 is displayed as: 1111101 which is the same as these 36 digits: 000000000000000000000000000001111101 Negative Numbers The leftmost (most significant or "highest") bit of a number's binary representation is the sign bit; it is set (1) for negative numbers. If there are (undisplayed) leading zeros, then the sign bit is 0 (positive). A negative number is the 2's complement of its positive binary number. Keys: Display: Description: 546 { x {%} ^ { x {} { x {} . ) Enters a positive, decimal number; then converts it to hexadecimal. 2's complement (sign changed). Binary version; § indicates more digits. Displays the leftmost window; the number is negative since the highest bit is 1. Negative decimal number. 10-4 Base Conversions and Arithmetic