In an arithmetic right shift, each bit in a binary number is shifted to the right by a specified number of positions. The leftmost bit (the ) is replicated to fill the vacated positions. If the number is , zeros are shifted in from the left, while if the number is negative, ones are shifted in from the left. Arithmetic right shifts are commonly used for by powers of two in signed integer arithmetic.
In an arithmetic left shift, each bit in a binary number is shifted to the left by a specified number of positions. The leftmost bit is lost (shifted out), and zeros are shifted in from the . Arithmetic left shifts are commonly used for by powers of two in signed integer arithmetic.
For example, with the original number 1101 (decimal -3), after an arithmetic right shift by 1, the result is 1110 (decimal -2). Conversely, after an arithmetic left shift by 1, the original number 1101 (decimal -3) becomes 1010 (decimal -6). Understanding these shifts is crucial for performing calculations in computer systems.
Keywords
multiplication | positive | right | sign bit | efficient | division |
