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Shifts and rotates

#1
09-22-2025, 07:17 PM
You recall how bits slide left or right in registers when the processor handles data. I often see left shifts whisk numbers bigger by doubling them each step. But you might notice right shifts pull values smaller instead. And arithmetic versions keep the sign bit stuck in place for negative figures. Perhaps logical ones just shove zeros across from the empty side. Or rotates twist everything in a circle without dropping any bits at all.
I think shifts help with quick multiplies in older chips you work on. You can multiply by four through two left moves without calling the full multiplier unit. But rotates let flags stay intact during bit cycles for checks later. Also maybe a rotate right pulls the lowest bit up top for testing patterns fast. Then fragments of data get rearranged oddly in assembly routines we debug together. I have seen rotates save bits that shifts would toss away forever during operations.
You notice arithmetic right shifts fill with ones for signed numbers while logical ones pad zeros always. I prefer using shifts when scaling values in loops without overflow worries. But rotates cycle through carry flags in ways that surprise during debugging sessions. Or perhaps left rotates move high bits down low for endian swaps in packets. Also short rotates by one bit often appear in hash functions you tweak. Then the processor flags update differently based on whether bits vanish or loop back.
I recall how a shift left by three equals multiply by eight in simple math paths. You might combine shifts with adds for faster constants than full multiplies allow. But rotates preserve all original bits for later restores in crypto code snippets. Perhaps a right rotate by five bits mixes data without losing information you need. And the carry bit sometimes joins rotates to handle bigger words across registers. I see shifts lose info on one end while rotates recycle it endlessly.
You handle rotates when rotating screen buffers or font glyphs in old graphics routines. I often shift masks to isolate fields in status words during hardware talks. But arithmetic shifts respect negative values where logical ones would corrupt signs badly. Or maybe rotate left combines with and operations to extract specific bit groups cleanly. Then processors execute these in single cycles unlike slower divides. I think rotates aid in barrel shifter designs for variable amounts you specify.
Shifts appear in division approximations by right moves followed by adjustments. You combine them with subtracts for quick quotients in embedded tasks. But rotates support bit field insertions without extra storage you allocate. Perhaps left shifts set high bits for alignment in memory addresses. And right rotates test parity by cycling all bits through the carry flag repeatedly. I notice how overflow flags behave uniquely after certain rotate sequences in loops.
You explore these in architecture simulators to see flag effects firsthand. I recall rotates help in rotate through carry instructions for multiword numbers. But shifts truncate data so you must mask beforehand in careful code. Or arithmetic right shifts divide negatives correctly without extra steps sometimes. Then logical shifts suit unsigned values where sign extension would break results. I have used rotates to swap nibbles in bytes for protocol conversions.
Shifts speed up powers of two scalings in graphics transforms you code. You might rotate bits to generate pseudo random sequences from seeds quickly. But the difference shows in how rotates never discard information during cycles. Perhaps shifts clear high bits after moving data into position for adds. And combined with rotates they enable efficient bit reversals in words. I see these ops form building blocks for bigger algorithms in processors.
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ron74
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Shifts and rotates

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