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36-bit computing

In computer architecture, 36-bit integers, memory addresses, or other data units are those that are 36 bits (six six-bit characters) wide. Also, 36-bit central processing unit (CPU) and arithmetic logic unit (ALU) architectures are those that are based on registers, address buses, or data buses of that size. 36-bit computers were popular in the early mainframe computer era from the 1950s through the early 1970s.

Friden mechanical calculator. The electronic computer word length of 36-bits was chosen, in part, to match its precision.

Starting in the 1960s, but especially the 1970s, the introduction of 7-bit ASCII and 8-bit EBCDIC led to the move to machines using 8-bit bytes, with word sizes that were multiples of 8, notably the 32-bit IBM System/360 mainframe and Digital Equipment VAX and Data General MV series superminicomputers. By the mid-1970s the conversion was largely complete, and microprocessors quickly moved from 8-bit to 16-bit to 32-bit over a period of a decade. The number of 36-bit machines rapidly fell during this period, offered largely for backward compatibility purposes running legacy programs.

History edit

Prior to the introduction of computers, the state of the art in precision scientific and engineering calculation was the ten-digit, electrically powered, mechanical calculator, such as those manufactured by Friden, Marchant and Monroe. These calculators had a column of keys for each digit, and operators were trained to use all their fingers when entering numbers, so while some specialized calculators had more columns, ten was a practical limit.[citation needed] Computers, as the new competitor, had to match that accuracy. Decimal computers sold in that era, such as the IBM 650 and the IBM 7070, had a word length of ten digits, as did ENIAC, one of the earliest computers.

Early binary computers aimed at the same market therefore often used a 36-bit word length. This was long enough to represent positive and negative integers to an accuracy of ten decimal digits (35 bits would have been the minimum). It also allowed the storage of six alphanumeric characters encoded in a six-bit character code. Computers with 36-bit words included the MIT Lincoln Laboratory TX-2, the IBM 701/704/709/7090/7094, the UNIVAC 1103/1103A/1105 and 1100/2200 series, the General Electric GE-600/Honeywell 6000, the Digital Equipment Corporation PDP-6/PDP-10 (as used in the DECsystem-10/DECSYSTEM-20), and the Symbolics 3600 series.

Smaller machines like the PDP-1/PDP-9/PDP-15 used 18-bit words, so a double word was 36 bits.

These computers had addresses 12 to 18 bits in length. The addresses referred to 36-bit words, so the computers were limited to addressing between 4,096 and 262,144 words (24,576 to 1,572,864 six-bit characters). The older 36-bit computers were limited to a similar amount of physical memory as well. Architectures that survived evolved over time to support larger virtual address spaces using memory segmentation or other mechanisms.

The common character packings included:

  • six 6-bit IBM BCD or Fieldata characters (ubiquitous in early usage)
  • six 6-bit ASCII characters, supporting the upper-case unaccented letters, digits, space, and most ASCII punctuation characters. It was used on the PDP-6 and PDP-10 under the name sixbit.
  • six DEC Radix-50 characters packed into 32 bits, plus four spare bits
  • five 7-bit characters and 1 unused bit (the usual PDP-6/10 convention, called five-seven ASCII)[1][2]
  • four 8-bit characters (7-bit ASCII plus 1 spare bit, or 8-bit EBCDIC), plus four spare bits
  • four 9-bit characters[1][2] (the Multics convention).

Characters were extracted from words either using machine code shift and mask operations or with special-purpose hardware supporting 6-bit, 9-bit, or variable-length characters. The Univac 1100/2200 used the partial word designator of the instruction, the "J" field, to access characters. The GE-600 used special indirect words to access 6- and 9-bit characters. the PDP-6/10 had special instructions to access arbitrary-length byte fields.

The standard C programming language requires that the size of the char data type be at least 8 bits,[3] and that all data types other than bitfields have a size that is a multiple of the character size,[4] so standard C implementations on 36-bit machines would typically use 9-bit chars, although 12-bit, 18-bit, or 36-bit would also satisfy the requirements of the standard.[5]

By the time IBM introduced System/360 with 32-bit full words, scientific calculations had largely shifted to floating point, where double-precision formats offered more than 10-digit accuracy. The 360s also included instructions for variable-length decimal arithmetic for commercial applications, so the practice of using word lengths that were a power of two quickly became commonplace, though at least one line of 36-bit computer systems are still sold as of 2019, the Unisys ClearPath Dorado series, which is the continuation of the UNIVAC 1100/2200 series of mainframe computers.

CompuServe was launched using 36-bit PDP-10 computers in the late 1960s. It continued using PDP-10 and DECSYSTEM-10-compatible hardware and retired the service in the late 2000s.

Other uses in electronics edit

The LatticeECP3 FPGAs from Lattice Semiconductor include multiplier slices that can be configured to support the multiplication of two 36-bit numbers.[6] The DSP block in Altera Stratix FPGAs can do 36-bit additions and multiplications.[7]

See also edit

References edit

  1. ^ a b Marshall Cline. "Would you please go over the rules about bytes, chars, and characters one more time?"
  2. ^ a b RFC 114: "A file transfer protocol"
  3. ^ ISO/IEC 9899:1999 specification. p. 20, § 5.2.4.2.1. Retrieved 2023-07-24.
  4. ^ ISO/IEC 9899:1999 specification. p. 37, § 6.2.6.1 (4). Retrieved 2023-07-24.
  5. ^ Marshall Cline. "C++ FAQ: the rules about bytes, chars, and characters".
  6. ^ "LatticeECP3 sysDSP Usage Guide". Lattice Semiconductor. Retrieved April 29, 2019.
  7. ^ "Digital Signal Processing (DSP) Blocks in Stratix Devices". Altera+accessdate=December 27, 2013.

computing, this, article, needs, additional, citations, verification, please, help, improve, this, article, adding, citations, reliable, sources, unsourced, material, challenged, removed, find, sources, news, newspapers, books, scholar, jstor, october, 2009, l. This article needs additional citations for verification Please help improve this article by adding citations to reliable sources Unsourced material may be challenged and removed Find sources 36 bit computing news newspapers books scholar JSTOR October 2009 Learn how and when to remove this template message In computer architecture 36 bit integers memory addresses or other data units are those that are 36 bits six six bit characters wide Also 36 bit central processing unit CPU and arithmetic logic unit ALU architectures are those that are based on registers address buses or data buses of that size 36 bit computers were popular in the early mainframe computer era from the 1950s through the early 1970s Friden mechanical calculator The electronic computer word length of 36 bits was chosen in part to match its precision Starting in the 1960s but especially the 1970s the introduction of 7 bit ASCII and 8 bit EBCDIC led to the move to machines using 8 bit bytes with word sizes that were multiples of 8 notably the 32 bit IBM System 360 mainframe and Digital Equipment VAX and Data General MV series superminicomputers By the mid 1970s the conversion was largely complete and microprocessors quickly moved from 8 bit to 16 bit to 32 bit over a period of a decade The number of 36 bit machines rapidly fell during this period offered largely for backward compatibility purposes running legacy programs Contents 1 History 2 Other uses in electronics 3 See also 4 ReferencesHistory editPrior to the introduction of computers the state of the art in precision scientific and engineering calculation was the ten digit electrically powered mechanical calculator such as those manufactured by Friden Marchant and Monroe These calculators had a column of keys for each digit and operators were trained to use all their fingers when entering numbers so while some specialized calculators had more columns ten was a practical limit citation needed Computers as the new competitor had to match that accuracy Decimal computers sold in that era such as the IBM 650 and the IBM 7070 had a word length of ten digits as did ENIAC one of the earliest computers Early binary computers aimed at the same market therefore often used a 36 bit word length This was long enough to represent positive and negative integers to an accuracy of ten decimal digits 35 bits would have been the minimum It also allowed the storage of six alphanumeric characters encoded in a six bit character code Computers with 36 bit words included the MIT Lincoln Laboratory TX 2 the IBM 701 704 709 7090 7094 the UNIVAC 1103 1103A 1105 and 1100 2200 series the General Electric GE 600 Honeywell 6000 the Digital Equipment Corporation PDP 6 PDP 10 as used in the DECsystem 10 DECSYSTEM 20 and the Symbolics 3600 series Smaller machines like the PDP 1 PDP 9 PDP 15 used 18 bit words so a double word was 36 bits These computers had addresses 12 to 18 bits in length The addresses referred to 36 bit words so the computers were limited to addressing between 4 096 and 262 144 words 24 576 to 1 572 864 six bit characters The older 36 bit computers were limited to a similar amount of physical memory as well Architectures that survived evolved over time to support larger virtual address spaces using memory segmentation or other mechanisms The common character packings included six 6 bit IBM BCD or Fieldata characters ubiquitous in early usage six 6 bit ASCII characters supporting the upper case unaccented letters digits space and most ASCII punctuation characters It was used on the PDP 6 and PDP 10 under the name sixbit six DEC Radix 50 characters packed into 32 bits plus four spare bits five 7 bit characters and 1 unused bit the usual PDP 6 10 convention called five seven ASCII 1 2 four 8 bit characters 7 bit ASCII plus 1 spare bit or 8 bit EBCDIC plus four spare bits four 9 bit characters 1 2 the Multics convention Characters were extracted from words either using machine code shift and mask operations or with special purpose hardware supporting 6 bit 9 bit or variable length characters The Univac 1100 2200 used the partial word designator of the instruction the J field to access characters The GE 600 used special indirect words to access 6 and 9 bit characters the PDP 6 10 had special instructions to access arbitrary length byte fields The standard C programming language requires that the size of the char data type be at least 8 bits 3 and that all data types other than bitfields have a size that is a multiple of the character size 4 so standard C implementations on 36 bit machines would typically use 9 bit chars although 12 bit 18 bit or 36 bit would also satisfy the requirements of the standard 5 By the time IBM introduced System 360 with 32 bit full words scientific calculations had largely shifted to floating point where double precision formats offered more than 10 digit accuracy The 360s also included instructions for variable length decimal arithmetic for commercial applications so the practice of using word lengths that were a power of two quickly became commonplace though at least one line of 36 bit computer systems are still sold as of 2019 update the Unisys ClearPath Dorado series which is the continuation of the UNIVAC 1100 2200 series of mainframe computers CompuServe was launched using 36 bit PDP 10 computers in the late 1960s It continued using PDP 10 and DECSYSTEM 10 compatible hardware and retired the service in the late 2000s Other uses in electronics editThe LatticeECP3 FPGAs from Lattice Semiconductor include multiplier slices that can be configured to support the multiplication of two 36 bit numbers 6 The DSP block in Altera Stratix FPGAs can do 36 bit additions and multiplications 7 See also editPhysical Address Extension PAE PSE 36 36 bit Page Size Extension UTF 9 and UTF 18References edit a b Marshall Cline Would you please go over the rules about bytes chars and characters one more time a b RFC 114 A file transfer protocol ISO IEC 9899 1999 specification p 20 5 2 4 2 1 Retrieved 2023 07 24 ISO IEC 9899 1999 specification p 37 6 2 6 1 4 Retrieved 2023 07 24 Marshall Cline C FAQ the rules about bytes chars and characters LatticeECP3 sysDSP Usage Guide Lattice Semiconductor Retrieved April 29 2019 Digital Signal Processing DSP Blocks in Stratix Devices Altera accessdate December 27 2013 Retrieved from https en wikipedia org w index php title 36 bit computing amp oldid 1203584752, wikipedia, wiki, book, books, library,

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