Page 35 - Autumn 2024
P. 35

Doubling



















                                                                    Fig. 21.  Schematic arrangement of Halving and
                                                                               Numerical Example.
               Fig. 19.  Schematic arrangement for Doubling.   must be added into the register position below.  This
                                                              can best be shown by the example:-
            All that is required to double a number is to shift                 50 ÷ 2 = 25.
          it one place to the left, the feed back loops of the
         multiplicand register are connected so that when doub-  Arrangement of Machine
         ling, the "1" feeds back to the "2," the "2" feeds
         back to the "4," the "4" to the "8," and the "8"
         to the Carry Memory buss bar.  The 4, 2 and 1 lines
         are connected via the half adder to the C.M., since a
         combination of 4 and any other figure when doubled
         will require this circuit.
           We have chosen the example No. 936 as this entails
         the use of the Carry Memory.









                                                                    Fig. 22.  Basic arrangement of Arithmetic Unit.

                                                                This shows the five stores, the three registers, the
                                                              adder, the complementer and the emitter.  The emitter
                                                              can be used to insert a figure into any of the registers
                                                              which would be common to a series of cards.
                                                                It will be noticed that there are two paths, A and B
                                                              -thisenables the machine to add together the quanti-
                                                              ties held in stores 2, 3, 4 and 5 to store 1, thus enabling
               Fig. 20.  Example of Doubling the number 936.  the calculation of the type (A + B) times C to be
                                                              carried out as it were in one run.  The stores, with the
         Halving                                              exception of No. 1, can pass through the complementer.
           To halve the number in the multiplier register each
         Binary expressed denomination is shifted one position  Shifting Registers
         to the right, but as no decimal digit after halving can  One of the fundamentals of valve registers is that of
         exceed 9, there will be no carry up the register, and  being able to transfer (or shift) the digit in one position
         therefore the "ten" detector and rationalising circuits  to the next position, and so on through all the stages of
         are not needed.  One bank of adders is necessary, how-  the register.  The shifting registers are composed of a
         ever, because when a register position (other than the  series of inter-connected triggers, one series for each
         units position) holds a digit that is an odd number, a 5  register position.

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