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3!:1, 3!:2, and 3!:3 Extended |
initial writing: 2000-00-00 last updated: 2004-10-26 |
In standard byte order, the bytes of a word are listed
from most significant to least significant; in reverse byte order,
the bytes are listed from least significant to most significant.
For example, the 4-byte integer 265358979 is 0fd10e83 in
standard byte-order and 830ed10f in reverse byte-order.
The PC is a reverse byte order machine.
The dyad x 3!:1 y applies to an array y and produces its
binary representation, according to the atom x:
| x | word size | byte order | |
| 00 | 32 bits | standard | |
| 01 | 32 bits | reverse | |
| 10 | 64 bits | standard | |
| 11 | 64 bits | reverse |
The monad 3!:1 produces the binary representation
in the word size and byte order of the current machine. 3!:3
produces the hexadecimal representation of an array,
analoguous to 3!:1.
The monad 3!:2 is the inverse of 3!:1
and 3!:3, and works on an argument in
either word size and in either byte order.
The following examples were executed on a 32-bit, reverse byte order machine.
bin =: 3!:1 hex =: 3!:3 unbin=: 3!:2 x -: unbin bin x=: 3 1 4 1 5 _9 265358979 1 x -: unbin hex x 1 x -: unbin 0 bin x 1 x -: unbin 1 bin x 1 x -: unbin 10 bin x 1 x -: unbin 11 bin x 1 $ bin x 48 _4 [ a.i.bin x 4 0 0 0 0 0 0 0 7 0 0 0 1 0 0 0 7 0 0 0 3 0 0 0 1 0 0 0 4 0 0 0 1 0 0 0 5 0 0 0 247 255 255 255 131 14 209 15 _4 [ a.i.0 bin x 0 0 0 4 0 0 0 0 0 0 0 7 0 0 0 1 0 0 0 7 0 0 0 3 0 0 0 1 0 0 0 4 0 0 0 1 0 0 0 5 255 255 255 247 15 209 14 131 (hex x),.' ',.(0 hex x),.' ',.(1 hex x),.' ',.(10 hex x),.' ',.(11 hex x) 04000000 00000004 04000000 0000000000000004 0400000000000000 00000000 00000000 00000000 ffffffffffffffff ffffffffffffffff 07000000 00000007 07000000 0000000000000007 0700000000000000 01000000 00000001 01000000 0000000000000001 0100000000000000 07000000 00000007 07000000 0000000000000007 0700000000000000 03000000 00000003 03000000 0000000000000003 0300000000000000 01000000 00000001 01000000 0000000000000001 0100000000000000 04000000 00000004 04000000 0000000000000004 0400000000000000 01000000 00000001 01000000 0000000000000001 0100000000000000 05000000 00000005 05000000 0000000000000005 0500000000000000 f7ffffff fffffff7 f7ffffff fffffffffffffff7 f7ffffffffffffff 830ed10f 0fd10e83 830ed10f 000000000fd10e83 830ed10f00000000 (hex -: 1&hex) x 1 (0 hex y) ,. ' ' ,. 1 hex y=: o. i. 2 3 00000008 08000000 00000000 00000000 00000006 06000000 00000002 02000000 00000002 02000000 00000003 03000000 00000000 00000000 00000000 00000000 400921fb 182d4454 54442d18 fb210940 401921fb 182d4454 54442d18 fb211940 4022d97c d221337f 7f3321d2 7cd92240 402921fb 182d4454 54442d18 fb212940 402f6a7a 5e385529 2955385e 7a6a2f40 (0 hex y) ,. ' ' ,. 1 hex y=: ;:'We the people' 00000020 20000000 00000000 00000000 00000003 03000000 00000001 01000000 00000003 03000000 00000020 20000000 00000038 38000000 00000050 50000000 00000002 02000000 00000000 00000000 00000002 02000000 00000001 01000000 00000002 02000000 57650000 57650000 00000002 02000000 00000000 00000000 00000003 03000000 00000001 01000000 00000003 03000000 74686500 74686500 00000002 02000000 00000000 00000000 00000006 06000000 00000001 01000000 00000006 06000000 70656f70 70656f70 6c650000 6c650000