Difference between revisions of "Left shift"
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Latest revision as of 20:12, 8 March 2015
Left shift, <<, is a bitwise operator to shift a binary value to the left.
|Syntax||BASIC V|| <num-var> = <numeric> |
|Token (hex)||BASIC V|| |
|Description||BASIC V||Returns the first operand, with the bits of its binary representation shifted toward the most significant end by the number of places specified in the second operand, and zeroes shifted in at the least significant end.|
|Associated keywords|| |
<< accepts two integer values, and returns the first value
left-shifted by the number of binary places given in the second operand.
For instance, in the statement
PRINT ~&87654321 << 4
the binary digits of &87654321, 10000111011001010100001100100001, are moved four places to the left in the register. In this case, the four most significant bits (1000) are discarded, and the units' place (bit 0) becomes the sixteens' place (bit 4) of the returned value. As it is a logical shift, zeroes are shifted in at the bottom, so that bits 0 to 3 of the result are all 0s. BASIC performs the shift in a single instruction, but if we consider the shift as a step-by-step calculation, it may be represented as:
Operand 10000111011001010100001100100001 / 1st shift 00001110110010101000011001000010 â† / 2nd shift 00011101100101010000110010000100 â† / 3rd shift 00111011001010100001100100001000 â† / 4th shift 01110110010101000011001000010000 â†
The output from the statement is:
>PRINT ~&87654321 << 4 76543210
The operation is mathematically equivalent to unsigned integer
multiplication by the respective power of two. By contrast the expression
A% = Q% * 2^N% causes an error if the signed integer
A% would overflow and although
A% = A%+A% is an
unsigned left shift on Acorn/Wilson BASICs, it causes an overflow error on
<< also takes the two's complement of a
negative shift distance.
On ARM processors, a shift distance between 32 and 255 inclusive returns
zero; any larger, or negative, distance
N% has the same effect
N% AND 255. BASIC on other architectures may give different
results when the second operand is more than 31 or less than 0.
As a Group 5 operator
<< does not associate with other Group 5
operators, so parentheses must be used when an operand has such an operator
on either side. For example:
IF (dword% << 24) = &1000000 THEN ...
= for more details.
has the same effect as
(num% << 1) and is usable on all BBC
â€“ beardo 02:54, 3 September 2011 (UTC)