Bus Museum - Calculating . . . Adding Machines and Mathematical Aids
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Adding and Calculating - Adding machines were around for a long time in the days before electronic calculators. Adding up in the old UK currency of pounds, shillings and pence required special adaptations. Of course you could use a ready reckoner and look the answer up in the tables or there was always pencil and paper. Images on this pages are not to the same scale.
In The Hand
Addiator Addiator- A calculator for the old (pre 1971) pounds, shillings and pence currency. To add, the stylus is inserted in the hole to the right of the desired number. If the number is silver, the stylus is pulled down to the bottom of the column. If red, it is pushed up to the top and then pulled round to the left and down in order to carry to the next column. To subtract, the Addiator is flipped over. The current total is also shown on the other side. The same operation is carried out but this time the total is reduced by the amount entered. Adding and subtracting can be carried out continually provided the total does not exceed £99,999 19s 11¾d. The total can be cleared by pulling up on the handle at the top (viewed from the adding side. From the subtracting side, it is at the bottom). The stylus has a handy pencil at the other end. The case can be positioned to act as a desk stand or the Addiator can be removed from the holder for easier handling. Addiator Gesellschaft Berlin (marked Foreign).   Addiator   Addiator- This is a decimal version. This one does not open up and does not stand up on the desk. The stylus has no pencil.
Addmaster Junior Addmaster - A pocket calculator operated by sliding bands up and down with a stylus. Adding is performed on one side and subtraction on the other, flipping between the two as needed. If the number is silver, the band is slid down to the bottom. If red, it is slid up to the top and round to the left and down to carry over to the next column to the left. The stylus has a propelling pencil on the other end and the holder includes a notepad. The similarity to the larger Addiator is no coincidence. The designer of the Addmaster was the son of the founder of Addiator. The Addmaster company was also known as Admult. Addmaster West Germany.  
ArithmaSterling Arithma - A pocket calculator for sterling currency. The stylus, carried clipped to the side of the Arithma Junior, is used to slide the bands up or down as required. The top set of numbers is used for addition. If the number is white it is pulled down to the bottom. If red it is pulled up to the top, round to the left and down to carry to the next column. The bottom set is for subtraction. This time, if the number is white it is pushed up to the top and if it is red down to the bottom, round and up to the left to carry. That means that in either addition or subtraction, white is to the middle and red is away from the middle. The result is shown in the central display. The arithma has a soft carrying case. Addiator W.Germany (marked Foreign).   ArithmaSterling   Arithma - A pocket calculator for decimal calculations.
Decimeter Decimeter - A pocket calculator to convert between the old sterling money (£sd) and the new decimal currency (pounds and pence). The result is rounded to the nearest half new penny. By turning the shillings and pence dials to the required amount, it gives the result in (rounded) new pence in tens and units. The example here shows 17 shillings and six pence as 85 + 2½ which is 87½ pence. A lot of similar converters were around for a short time in 1971 when the UK changed currencies. They were useful for people who wanted to compare shop prices. The Decimal Currency Board also issued a printed "Shoppers' table". It had been expected that there would be a long period where both sets of prices would be displayed, but in fact the changeover was quite quick.  
Exactus Exactus - A small, pocket sized calculator. Like the Addiator, a stylus is used to move the numbers up or down. However, to change between addition and subtraction a hinged plate is raised or lowered rather than turning the Exactus over. To add, the number is pulled down to the bottom if it is silver or up, round to the left and down if it is red. To subtract, the number is pulled to the top if red or down, then round to the left and up if silver. The small size and the hinged flap make the Exactus fiddly. I find it easy to make a mistake on the Exactus while the Addiators are much more usable. Sterling Mini-Add England.  
Ready Reckoner   Ready Reckoner - Of course you could use a Ready Reckoner like mine and look the answer up in the tables. The "SPEEDY" Ready Reckoner for Office & General Use - ¼d to 19/- and Percentage Tables - ¼ds to 1/- - ½ds to 2/- - 1ds to 5/- - 6ds to 12/6 - 1/-s to £1 - Gall and Inglis, 12 Newington Road, Edinburgh 9 and London.   Ready Reckoner  
On The Desk
Addipresto Addipresto - A neat desk-top adding machine. A stylus is used to pull down on the bands. The band is pulled right to the bottom causing the total in the window above to change. Only adding is possible. The red lever on the left clears the display to zero. The stylus would have been placed in the hole on top when not in use. Mine is missing and marks on the number bands suggest a pen was used. This would have been better for the operator who would need to write down the results. Care must be taken as it is possible to pull the bands too far and cause a 9 to be added as 10. Brevetti Lanza-Savona Italy.   Addipresto   Addipresto - This is a decimal version and is complete with box, cover, stylus and instructions. Subtraction is possible using a number's complement. The advert and the instructions show this model was ready for use with decimal money introduced in 1971. The complement of a number (on this machine) is the difference between that number and 9. Using this system, the complement is added to the value in each column, including any column with a zero. However, to finish the calculation, a 1 has to be added to the result. This could have been avoided if the right-hand column had been marked with complements of 10 instead of 9, with zero treated as 10.
Bri Cal - Patented by H. and M. Dickinson and manufactured between the beginning of the twentieth century and the Great War by The British Calculators Ltd.. The lettering reads Bri-Cal Adding Machines. The disc is operated by inserting a stylus in the appropriate slot and moving clockwise. Addition is immediate so the amount can be entered in any order. The result is displayed in four small windows. The pence selector is in halfpenny steps. To clear the total to zero, the stylus is inserted in the red slot of the outermost ring and pulled as far as it will go, again clockwise. This is repeated for each ring in turn, moving towards the centre. Originally there would have been a pair of styli but these have been lost. The Bri-Cal, which has a felt pad on the back, should be placed on a desk and held with the left hand while the stylus is worked with the right. The machine is not suitable for holding in the hand. The circular design makes operation easy for right handed people but it is difficult if you are left handed. At the start of the twentieth century being left handed was considered abnormal. There is a felt-lined wooden box with the Bri-Cal. This is currently awaiting repair. British Calculators Ltd England.  
Brunsviga - A machine which can add and subtract in pounds, shillings and pence. The desired buttons are pressed, including the minus key if needed, and then the lever. Errors are cleared by pressing the C key before pressing the lever. Multiplication is also possible by using the repeat button (R). Includes halfpennies and farthings. The maximum amount that can be entered is £9,999 19s 11¾d while the maximum total is £99,999 19s 11¾d. The total is cleared by pressing the star button and then the lever. If the last calculation was a subtraction, the lever must be pressed before as well as after the star button. A label on the back reads BRUNSVIGA-ADSUM Sole Concessionairs for U.K. and Eire W.H.Turnbull & Co. Ltd. 14, Philpot Lane - LONDON E.C.3 Made in Western Germany. This version of the Adsum was introduced in 1956 and would have been in use until decimalisation in February 1971.  
Contex A Contex A - Made of bakelite, the model A has a half keyboard. This example is for sterling £sd but does not have fractions (halfpennies and farthings). The half keyboard design allows experienced users to operate the machine very quickly, pressing two keys where necessary. The base of the carrying case can be left under the machine to give a more stable operating environment. The model A was introduced in 1946 and manufactured until 1960. Carlsen Brothers Gentoft, Denmark.  
Contex B Contex B - A more modern appearance than the model A, looking like a calculator but still mechanical and still only able to add. The internal workings are similar to the earlier model A. The half keyboard design allows experienced users to operate the machine very quickly, pressing two keys where necessary. Designed for £sd sterling and including farthing and halfpenny keys, this model was introduced in 1960. Carlsen Brothers Gentoft, Denmark  
Olivetti (£sd) Olivetti 15 £sd - A version equipped with additional 10 and 11 keys for sterling £sd currency, but no halfpenny key. A joystick selects subtraction, sub-total, total or number not to be included. The amount is entered, the joystick set if required and the handle pulled forward and released. The amount is printed on a paper roll, in black for individual amounts and in red for the total or sub-total, using a typewriter ribbon. Pressing either the 10 or 11 key locks the keyboard to ensure that these values are registered only as pence. Care must be taken to enter a zero in front of single digit shillings amounts after pounds have been entered by pressing the large black key (twice if no shillings). Any amount of shillings higher than 19 will be reduced to below 20, for instance 33 will register as 13. The striped knob at the bottom right moves one notch to the left for each digit entered. Pulling this to the far right clears all numbers entered. There is a sliding control above this which allows multiplication. This is achieved by entering an amount, setting the control to multiplication and pulling the handle the required number of times. There is a counter on the left of the keyboard so that the operator can see how many times the amount has been multiplied. There is a slider to the left of the joystick to disable the entry of shillings and pence, calculations then being in whole numbers. At the top right is a rotating manual paper feed control. The original design dates from 1949 but the machine was probably made around 1960.  
Olivetti (£sd) Olivetti 20 £sd - A version equipped with additional 10 and 11 keys for sterling £sd currency or ½ for decimal money. A lever on the underside allows switching between £sd and decimal currencies. The ½ keys are only available in decimal mode. A joystick selects subtraction, sub-total, total or number not to be included. The amount is entered, the joystick set if required and the handle pulled forward and released. The amount is printed on a paper roll, in black for individual amounts and in red for the total or sub-total, using a typewriter ribbon. Care must be taken to enter a zero in front of single digit shillings amounts. The original design dates from 1949 but the machine was made around 1960. It seems that these machines were designed for the Australian and New Zealand markets. These countries withdrew the old halfpenny earlier than the UK and also made the change to decimal money before us. This would explain the lack of a ½ key in £sd mode. Olivetti Summa Prima 20 Italy.   Olivetti (£sd)   Olivetti 20 £sd - This one has the older style round keys.
Olivetti (Decimal) Olivetti Decimal - A version for decimal currency (introduced in Australia and New Zealand in 1966 and in the UK in 1971) .There is a key for half cents or half pennies. A joystick selects subtraction, sub-total, total or number not to be included. The amount is entered, the joystick set if required and the handle pulled forward and released. The amount is printed on a paper roll, in black for individual amounts and in red for the total or sub-total, using a typewriter ribbon. The machine was designed in 1949 and manufactured in the 1960s A small leaflet contains user instructions and examples. Olivetti Summa Prima 20 Italy.  
Plus Plus - This adding machine probably dates from the 1950s although the design is some twenty years older. It is adapted for the old UK sterling currency of pounds, shillings and pence. Each column of keys has the numbers 1 to 5. Starting from the left, there are three columns of green keys and two of white ones for pounds, green keys for shillings (including a separate one for ten shillings) and white ones for pennies, halfpennies and farthings. The lack of numbers greater than five means that an experienced operator can work very quickly without looking at the keys, a bit like touch typing. To key in a higher number, the operator presses two keys. If two keys in the same column are pressed at the same time, only the lower one registers. But if two keys in different columns are pressed together, both register. The keys on the odd number rows are more deeply recessed than those on the even rows. The small levers on the display can be moved up or cleared down to make the numbers easier to read. The result shown here is £6,113 12s 3¾d and the maximum is £999,999 19s 11¾d. The lever next to the ½ key is used to clear the result display to zero. This machine can only be used to add but larger versions with the full range of numbers could also subtract while multiplication and division were possible with practice.  
Plus Victor - A manual machine for sterling currency. Has four columns of keys for pounds (the thousands column in white and the rest black), two for shillings (white), one for pence (black) plus one with 11d, 10d, ¾d, ½d and ¼d keys. On the left are additional keys marked Error (top white) and Repeat (bottom red) and on the right are keys for Sub-Total (top blue) Total (top red), Subtract (lower red) and Non-add (bottom blue). Subtraction works provided the result is positive, but a negative result is shown as the complement, not the actual value. The total and sub-total can be printed in red if a two-colour ribbon is fitted. The fitted metal spools operate in both directions to get the best use out of the ribbon. Below the keyboard is a mechanical display showing the current total. Victor Adding Machine Company Chicago, USA  
 
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