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Topic: Multiplication ALU


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In the News (Thu 17 Dec 09)

  
  Arithmetic logic unit - Wikipedia, the free encyclopedia
The arithmetic logic unit/arithmetic-logic unit (ALU) of a computer's CPU is a part of the execution unit, a core component of all CPUs.
ALUs are capable of calculating the results of a wide variety of basic arithmetical computations.
The inputs to the ALU are the data to be operated on (called operands) and a code from the control unit indicating which operation to perform.
en.wikipedia.org /wiki/ALU   (572 words)

  
 Multiplication ALU - Wikipedia, the free encyclopedia
In digital design, a multiplier or multiplication ALU is a hardware circuit dedicated to multiplying two binary values.
A variety of computer arithmetic techniques can be used to implement a digital multiplier.
This process is similar to the method taught to primary schoolchildren for conducting long multiplication on base-10 integers, but has been modified here for application to a base-2 (binary) numeral system.
en.wikipedia.org /wiki/Multiplication_ALU   (586 words)

  
 Wikipedia: Arithmetic and logical unit
An arithmetic and logical unit (ALU) is one of the core components of all central processing units.
The most common available operations are the integer arithmetic operations of addition, subtraction, and multiplication, the bitwise logic operations of AND, NOT, OR, and XOR, and various shift operations.
The ALU takes as inputs the data to be operated on and a code from the control unit indicating which operation to perform, and for output provides the result of the computation.
www.factbook.org /wikipedia/en/a/ar/arithmetic_and_logical_unit.html   (194 words)

  
 Ram/Project2
The result of the ALU is then stored back in the memory location pointed by address B by asserting the WE signal High along with the input clock signal.
The output from the ALU is selected by a 4:1 multiplexer which selects one of the four outputs of the ALU namely MSB, LSB (both of multiplication operation), Adder/subtractor output and the logical output.
In the memory a 2:1 multiplexer is used to select between the ALU output and the previous stored value as the new value to be written to the memory bit.
www.iit.edu /~kottven/project2.htm   (1738 words)

  
 Arithmetic logic unit: Encyclopedia topic   (Site not responding. Last check: 2007-11-03)
An alternative meaning of ALU is Alu sequence (Alu sequence: an alu sequence is a short stretch of dna characterized by the action of the alu restriction...
The ALU takes as inputs the data to be operated on (called operand (operand: A quantity upon which a mathematical operation is performed) s) and a code from the control unit (control unit: a control unit is the part of a cpu or other device that directs its operation....
In many designs the ALU also takes/generates as inputs/outputs a set of condition codes from/to a status register (status register: a status register is a collection of flag bits for a microprocessor that indicates...
www.absoluteastronomy.com /reference/arithmetic_logic_unit   (518 words)

  
 [No title]   (Site not responding. Last check: 2007-11-03)
The output of the ALU 165 may be provided to a flop 170 and to the accumulator 175.
The most recent output of the ALU 165 is added to the accumulator 175, and the new accumulator value is then provided in a feedback loop to the multiplexer 160 for possible inclusion in the next ALU 165 operation.
The output of the ALU 255 may be provided to the flop 265 and to the accumulator 275.
www.wipo.int /cgi-pct/guest/getbykey5?KEY=01/75635.011011&ELEMENT_SET=DECL   (3326 words)

  
 History of computing hardware - Wikipedia, the free encyclopedia
John Napier noted that multiplication and division of numbers can be performed by addition and subtraction, respectively, of logarithms of those numbers.
The engineers in the Apollo program to send a man to the moon made many of their calculations on slide rules, which were accurate to 3 or 4 significant figures.
While producing the first logarithmic tables Napier needed to perform many multiplications and it was at this point that he designed Napier's bones.
en.wikipedia.org /wiki/History_of_computing_hardware   (5632 words)

  
 Class 2: Multiplication and Division   (Site not responding. Last check: 2007-11-03)
We start by first going from the 1-bit ALU that we had designed in the last class to a 32 bit ALU.
Logical Shifts are typically implemented outside the ALU using something called a Barrel Shifter (for speed reasons).
Multiplication can basically be looked upon as a repeated addition operation.
www.mines.edu /Academic/courses/math_cs/macs341/node37.html   (438 words)

  
 ALU
The line from the right is the control line from the control unit of the CPU to the ALU that the add operation is either an add or subtract.
Multiplication circuits are typically built of adders, shifters.
As we perform multiplication by hand, we "shift" the multiplicand to the left to create our diagonal array of summands.
faculty.juniata.edu /rhodes/org/ch9c.htm   (947 words)

  
 22C:40 Notes, Chapter 9
Because of the slow speed of hardware multiplication on most computers, compiler writers have long been urged to avoid using multiply instructions whenever a short sequence of shift and add instructions could be used to accomplish the same thing.
Multiplication by 11 takes three instructions, but there are also three instruction sequences to multiply by all larger integers up to more than 35.
The most obvious way to handle signed multiplication and division is to remember the signs of all the operands, then take the absolute value, and finally compute the proper sign for the result and, if this is negative, complement the appropriate register.
www.cs.uiowa.edu /~jones/assem/fall03/notes/09muldiv.html   (5938 words)

  
 22C:60 Notes, Chapter 9
Instead, most computers that have multiply hardware do multiplication using the same arithmetic-logic unit as they use for addition, cycling the data through the arithmetic-logic unit as many times as is required to compute the product.
Multiplication by 11 takes three instructions, but there are also three instruction sequences to multiply by all larger integers up to 38 and for many above that.
The most obvious way to handle signed multiplication and division is to remember the signs of all the operands and then take their absolute values beforehand, and then fix the signs afterwards.
www.cs.uiowa.edu /~jones/assem/notes/09muldiv.shtml   (6159 words)

  
 [No title]
The implementation I (and Hennessy and Patterson) gave is too simple, in that an additional one bit register for the carry out of the ALU is needed.
What is involved is that after the addition step (and before the shift), if there is a carry out it must be saved and shifted into the product register when the shift carried out.
If the multiplicand is negative you have to use sign extension when you shift the product register; if the multiplier is negative you have to apply a correction at the end.
cis.poly.edu /cs2214rvs/mult.htm   (359 words)

  
 Multiplication in VHDL and MIPS assembly
The 32-bit ALU will need to have three operations: addition, subtraction, and no-op, which just passes the previous upper 32-bits of the product through the ALU unchanged.
The right input of the ALU should be the multiplicand and the left input should be the upper 32-bits of the product register.
The control unit should be implemented as a finite state machine with outputs that control the ALU and product register depending on the current state.
www.cs.ucr.edu /cs161l/labs/mult   (660 words)

  
 Design 2-Bit Arithmetic Logic Unit (ALU)
If you need schematic to build those functions you look at ECE31LB Final Project, although it’s a 4-bit ALU but it the same as 2-bit ALU.
ALU output-3 (third bit output of an ALU)
ALU output-4 (fourth bit output of an ALU)                    
www.freewebtown.com /pvtran2/magic/ALU2.htm   (182 words)

  
 MIT Intelligent Transportation Research Center   (Site not responding. Last check: 2007-11-03)
Each processing element consists of an ALU (Arithmetic/Logic Unit), a data flow control unit, instruction memory, and data memory.
The size of the processing element was reduced by replacing a conventional digital ALU with a mixed-signal ALU.
Figure 3 shows how multiplication and division are carried out by using a combination of analog-to-digital and digital-to-analog converters.
www-mtl.mit.edu /researchgroups/itrc/old_website_2003_11/page13.html   (280 words)

  
 C:\BELLBOOK\P001-100\HTMFILES\CSP0194.HTM
Figure 8 illustrates the interconnections for a hardware multiplication using the Am2901.
8 multiplication, but the expansion to more bits is simple- the significant connections are at the LSB and MSB only.
output, and both the Q and the ALU output are shifted left one place.
research.microsoft.com /users/GBell/Computer_Structures_Principles_and_Examples/csp0194.htm   (371 words)

  
 [No title]   (Site not responding. Last check: 2007-11-03)
Last time: SLT BEQ Add the ability to test for the equivalence of the two inputs: a = b iff a - b = 0 “zero detector”: Carryout of 31st ALU is sent to overflow detection unit.
Convert operands to positive Perform multiplication algorithm 1, 2, or 3 Convert product to 2’s complement if the signs of the operands are not the same Inefficient Algorithm 3 will work if we extend the sign bit when we shift the product + multiplier register to the right.
Any binary number can be split into a sum of strings of 1 A string of n 1s may be rewritten as the sum of two numbers, 1 followed by n 1s, and -1.
www.cs.pitt.edu /~gary/cs447/Lect12.doc   (454 words)

  
 STMicroelectronics | ST10R272L USER'S MANUAL   (Site not responding. Last check: 2007-11-03)
Multiple precision arithmetic is provided through a 'CARRY-IN' signal, to the ALU, from previously calculated portions of the desired operation.
For the prioritize ALU operation the Z-flag indicates whether the second operand was zero or not.
W hen a division or multiplication is interrupted before completion, and the multiply/divide unit is required, the MDC register must first be saved with registers MDH and MDL (to be able to restart the interrupted operation later), and then it must be cleared to be prepared for the new calculation.
www.st.com /stonline/books/ascii/docs/7701.htm   (15698 words)

  
 cs350 8-bit CPU design project -- team 2 --   (Site not responding. Last check: 2007-11-03)
Register file is done, decoder and ALU control are tested.
Working on Carry-look-ahead ALU and multiplication unit, division unit.
4X8mux, decoder, 8 bit ALU with zero, and ALU control units are done, yet to be tested.
www.iit.edu /~kimjung7/cs350/update.html   (117 words)

  
 [No title]   (Site not responding. Last check: 2007-11-03)
Diagram the algorithm and ALU (block diagram only) that would be used to implement this instruction, and identify the computational or data-movement bottlenecks that exist in the ALU or algorithm.
The result of cdf would be saved in Q. The diagram of ALU is shown below:  To implement the algorithm, we add two “set to 0” signals, which means set A and Q-1 to 0 just before the multiplication starts for the second time.
The computational bottleneck is the ALU, which implement all the addition and subtraction.
www.cise.ufl.edu /~mssz/CompOrg/C03-hw3-key.doc   (885 words)

  
 [No title]
Answer: The MIPS ALU has some floating point instructions (e.g., add.s, mul.d) in its ISA, but these are executed on a coprocessor, which has floating-point hardware.
Answer: Booth's algorithm is designed for multiplication of signed binary numbers.
Hint: You might be asked to compute the runtime of one or more MIPS programs that you write, as well as discuss the work requirement in an arithmetic algorithm such as Booth's algorithm for signed multiplication.
www.cise.ufl.edu /~mssz/CompOrg/Exam-2-rvw.html   (1872 words)

  
 LAB
Integer multiplication and division are usually done as a series of additions/subtractions and shifts.
In this lab you’ll write the VHDL code to simulate Booth’s signed integer multiplication algorithm (Fig 4.34 in textbook) and the third version of unsigned division discussed in the textbook (Fig 4.41 in textbook).
Both multiplication and division will be done on 8-bit integers.
www.uwf.edu /mkhabou/EEL4713C/labs/lab6.htm   (311 words)

  
 Architecture of a digital signal processor
The second determines an operation of the ALU on the contents of local registers.
A fast free-running multiplier operates in parallel with the ALU and delivers a product in every cycle with a pipeline delay of two cycles.
The architecture allows transversal-filter operations to be performed with one multiplication and ALU operation in every cycle.
domino.research.ibm.com /tchjr/journalindex.nsf/0/41d4a8a54ef345cc85256bfa0067f612?OpenDocument   (134 words)

  
 Did the Mainframe/Minicomputer in 50s/60s/70s have FPU?
Thu, Oct 6 2005 3:46 PM All the Univac computers I worked on had Floating Point command for their Arithmetic Logic Units.
ALU's were a subunit of the CPU, usually drawn seperately from the CPU.
Fixed registers and 1 ALU (arithmetic logic unit) and not even multiplication..
channel9.msdn.com /ShowPost.aspx?PostID=124468   (1133 words)

  
 Alu - Example: Alu elements
The ALU would like to thank Drew for taking over the hosting of the ALU wiki content at a time when it was on the verge of going off-line under a deluge of
The summit region of Alu volcano, lying immediately NW of conical Dalaffilla volcano, is an ellipsoidal volcanic horst, elongated in a NNW-SSE direction,
The ALU maintains this website and holds annual international Lisp conferences in major The ALU is a fully incorporated not-for-profit organization.
aliveinfo.com /?q=alu   (419 words)

  
 Just Too Good - Darren's IT / Hardware Technical Resource   (Site not responding. Last check: 2007-11-03)
The simplistic view (as shown in the Simplified View of CPU Architecture page) implies that the instruction decoder determines what instruction should be performed by the ALU and then sends on control signals to the ALU, as appropriate.
It turns out that bit shifting allows vary efficient multiplication and division, provided we are multiplying or dividing by 2 or a multiple of 2.
If this bit was a 0, then you divided exactly by a two or a multiple of two (if shifting more than one position).
www.just2good.co.uk /cpuArchitecture.htm   (851 words)

  
 385Syllabus   (Site not responding. Last check: 2007-11-03)
Computer arithmetic and ALU design: representing numbers, arithmetic and logic operations
Basic ALU building components: and-gate, or-gate, inverter, multiplexor.
ALU control: mapping the opcode and function bits to the ALU control inputs
www.cs.ccsu.edu /~markov/ccsu_courses/385Syllabus.html#Lecture_25   (2388 words)

  
 EEM335 Computer Architecture   (Site not responding. Last check: 2007-11-03)
MIPS instruction set, Representing instructions in the computer, Linkers, Supporting procedures in computer hardware, Passing the arguments to a procedure, Constant or immediate operands in MIPS, Addressing in branches and jumps in MIPS, MIPS addressing modes, Writing a full MIPS assembly program.
Negative number representations, Addition and subtraction, Logic operations, Constructing the Arithmetic Logic Unit (ALU), Multiplication algorithms, Division algorithms, Floating point arithmetic algorithms (addition, subtraction, multiplication, and division).
Logic conventions and clocking, MIPS single clock cycle implementation: (Building a datapath), The simple implementation scheme, The multiple clock cycle implementation, Designing the control unit for the multiple clock cycle implementation :Finite state machines (FSM) and Microprogramming.
www.baskent.edu.tr /~sever/eem335/eem335.html   (295 words)

  
 [No title]   (Site not responding. Last check: 2007-11-03)
Perform addition / subtraction of mantissas and determine sign of result 4.
Multiplication: Add exponents Division: Subtract exponent of divisor from exponent of dividend 2.
Multiply/Divide mantissas and determine sign of result 3.
www.cc.gatech.edu /classes/cs3760b_99_winter/lectures/lecture5.ascii   (321 words)

  
 Computers and Internet   (Site not responding. Last check: 2007-11-03)
All data, whether in the form of magnitudes, text, pictures, sound, symbols, or calculus (such as integration and differentiation), are represented as binary numbers in a digital computer.
Any type of data can be processed by addition, multiplication, comparison, or other simple operations by the ALU.
A "1" in binary is evaluated as an ON switch in the electronics.
www.kosmoi.com /Computer/about.shtml   (1869 words)

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