Manual / Guide · c. 1970
IME 26 Instruction Manual
The instruction manual for the IME 26 commercial calculator: keyboard, registers, basic operations, constants, chain calculations and worked commercial examples.
Manual / Guide · c. 1970
The instruction manual for the IME 26 commercial calculator: keyboard, registers, basic operations, constants, chain calculations and worked commercial examples.
Decimal point setting Accumulating register keys Reduced keyboard Reading keys for operational registers instruct manual Clearance of operational registers Keyboard correction INDUSTRIA MACCHINE ELETTRONICHE IME S.P.A. - ROMA IMEzc An ideal calculator The IME 26 is the outcome of many year’s experience in the construction of electronic desk calculators. It is an ideal combination satisfying two important basic requirements for a culculator: high performance and simple operation. All four basic operations can be carried out with the small number of keys in the central zone of the keyboard; these are positioned in a logical manner, so that the calculator can be operated « blind ». It should also be emphasized that in addition to the accumulating register three further operational registers are provided, enabling the last operation in each case to be re- called for verification or further processing. The IME 26 was specially designed for all commercial arithmetical problems. Its electro- nic system provides a hitherto unattained degree of reliability in calculation. The IME 26 is equipped with reliable semi-conductors and with interchangeable compo- nent boards. The individual component boards are connected by plugs and can easily be replaced. Index Characteristics Keyboard Connection to power Capacity Entering of data Re-utilization of results Rounding off of results Clearing Basic Operations Addition and Subtraction Addition and Subtraction with repeated addends Multiplication Division Raising to a power Chain operations Accumulation in the auxiliary register Constant Factor Operations Inverse Value calculations Examples of applications Percentage analysis Caiculation of depreciation Calculation of percentage increase Interest calculation Interest calculation on bank account Amortization rates Loan repayment Invoicing Evaluation of polynomial Characteristics The Keyboard The IME 26 keyboard has a functional and modern design. The ten keys by which all figures are entered and the keys for the fundamental operations are gathered together on an anodized aluminium back plate. The other keys are located in a practical and logical manner. Reading keys for Operation Register A This key displays the contents of the 1st operation register without clearing it This key displays the contents of the entering register without clearing it This key displays the contents of the result register without clearing it Clearing keys | c | Initial clear key Cx] Displayed-register clear key Keys for the fundamental operations [=] Sign change key for any number in display X | Multiplication key HI oDivision key | Operation key for algebraic sums, multiplications and divisions. In additions the total or sub-total will appear after a second depression of this key. Keys for Auxiliary Register The auxiliary register is controlled by three aligned keys. ci The central key clears the register | M_| The key on the right displays the register contents without clearing IO | The key on the left automatically accumulates in the register the data on display or the results of operations already entered in the operative registers. The presence of data in the auxiliary registers is indicated by a white band which appears automatically on the central key upon the depression of the register operation key. Decimal point selector Controls the decimal point position, which can be selected as desired. Connection to power The IME 26 can operate with a voltage variation of +10°/o with respect to the nominal value. If the voltage value is not available it is necessary to interpose an autotransformer of 60 VA at least. To begin operating the machine, after switching it on, it is sufficient to press the | Cc | key twice and then the clearing key of the auxiliary memory. Capacity The IME 26 has a capacity of 12 digits in all registers. This means that operations such as follows may be performed: 999999 x 999999 = 999998000001 99999999999 x 9 = 899999999991 By virtue of the automatic control of the decimal point and of the automatic discarding of the excessive decimal digits it is possible to perform calculations such as: 15.4764213277 x 2.2744731219 = 35.2007043331 without exceeding the machine capacity, the last digit of the result is automatically rounded off. Any overflow of the machine capacity is indicated, for any operation, by the lighting of a red lamp on the right of the display. The result which appears under this condition on the display is meaningless. Entering of data The numbers entered on the keyboard are stored in the entering register. For negative numbers press the [=] key after entry. IME 26 executes algebraic calcul- ations and each register records the sign. For decimal numbers press the [¢] key after entering the unit digit. The IME 26 operates with an automatically fixed decimal point in each operation, however the position of the decimal point is adjustable in any position between the ist and 10th digit by means of the proper selector. In the event of an error in entry, press the Ce) key and re-enter. It is possible to completely modify or substitute either the integral or decimal portion of a number leaving the other portion unchanged. For the decimal portion, it is necessary to press the [2] key and enter again the decimal digits. For the integral portion, it is necessary to press the key and as often as necessary the | o | key to make the number disappear on the left of the display; this accomplish- ed, the number is entered again correctly. Re-utilization of results Each result or factor of any calculation on display may be immediately utilized for suc- cessive operations without the necessity of a transfer operation. Rounding off of results If the effective number of decimals exceeds the machine capacity, the IME 26 automati- cally rounds off the last digit either upwards or downwards. Operating with the decimal point in second position, for example, we have: 12.6 x 147.78 = 1862.03 With the decimal poin in third position instead, we have: 12.6 x 147.78 = 1862.028 Clearing Clearing of the contents of the entering register is automatic with each new entering. Clearing of the other operative registers takes place automatically as is necessary. Clearing of the auxiliary register is performed by means of the appropriate key. Basic operations Addition and subtraction 1.23-—4.5 + 23.757 + 74.6 = 95.087 Decimal point in 3rd position 1.23 45 =] 23.757 74.6 GM 95.087 The total is obtained by pressing the ME key after the last addition. By pressing the A | key after the addition key, it is possible to re-read the last item added. This allows the execution of operations with repeated addends (as indicated in the following example), or allows the correction of that entry by merely changing the sign. Addition and subtraction with repeated addends 1.47 + 1.59 + 1.59 + 1.59 + 0.274 = 6.514 Decimal point in 3rd position 1.47 | 1.59 || A | 4.590 7 A | 1.590 7 274 7 MB s514 Multiplication a) 15.42 x 7.23 = 111.487 Decimal point in 3rd position 15.42 x 7.23 Wi 141.487 By pressing A | and keys, multiplicand and multiplier may be re-read,each one with its correct algebraic sign. By pressing the key, the product may be re-read. b) —5.36 x 2.43 = — 13.025 Decimal point in 3rd position 5.36 E) X | 2.43 MM — 13.025 Division 13:3 = 4.333 Decimal point in 3rd position 13 3 | 3 4.333 By pressing the A key the division remainder (0.001) may be read. By pressing the key the divisor (3) may be read. By pressing the key we return to read the quotient. Raising to a power (— 1.018) = — 1.093 Decimal point in 3rd position. 1.018 — 1.018 — 1.018 — 1.018 >< >< >< < — 1.018 — 1.018 — 1.093 or 1.018 [=] xX | A | — 1,018 MM i.036 A | — 1.018 x | 1.036 Ma 1.055 A | — 1.018 x | — 1.055 me i A | — 1,018 LX | 1.074 ME — 1093 Chain operations 15.4 x 7.23 126 = 8.836 Decimal point in 3rd position 15.4 X | 7.23 Hi 12.6 WE a.836 If it is required to read the intermediate results, operate as follows: 15.4 LX | 7.23 ME 111.342 3 12.6 Ha n.836 Accumulation in the auxiliary register a) 13 x452= 5.876 — 0.15 x 2.25 = — 0.338 5.538 Decimal point in 3rd position 1.3 Xx 4.52 em 5.876 15 [=] LX 2.25 Lo — 0.338 | M | 5.538 b) 12.56x2.5x35.2 = 1105.280 2.56 x (— 3.8) x4.5 = — 43.776 1061.504 Decimal point in 3rd position 12.56 25 35.2 KOM 105.280 2.56 3.8 [=] 45 eM _ 43.776 EXE t061.504 c) 1 4, 1 4 1 = 067618 7 Decimal point in 5th position 1 3 3 0.33333 1 Ls | 5 0.20000 1 3 | 7 0.14285 0.67618 Constant Factor Operations ) 12.473 x 11.6 = 144.687 8.2x11.6 = 95.120 © Decimal point in 3rd position 11.6 em 12.473 LX 11.600 144.687 8.2 |X 11.600 95.120 i 116 X | 12.473 144.687 11.600 X | 8.2 95.120 b) 1483,6 :6.2 = 239.290 1.2:62= 0.193 Decimal point in 3rd position 6.2 em 1483.6 | LM | 6.200 ME 230.200 1.2 3 LM | 6.200 ME oo.i93 Inverse value calculations When the value, whose inverse is desired to be calculated, is a result of previous cal- culations, this process avoids the use of the auxiliary register. a at+b 3.27 —_.—..—— = 0.440 3.27 + 4.15 Decimal point in 3rd position 3.27 || 4.15 7 ME 7.420 3.27 3 7.420 ME 0.440 or 4.15 | 3,27 | MH = 3.270 | 7.420 ME o.440 Examples of applications Percentage Analysis 41.15 27.57 °/o 30.90 20.71 %o 72.11 48.32 °/o 5.07 3.40 °%o 149,23 100.00 %/o Decimal point in 4th position 41.15 30.9 72.11 5.07 100 149.2300 0.6701 41.15 27.5746 0.6701 30.9 20.7061 0.6701 72.11 48.3209 0.6701 LX | 5.07 3.3974 99.9990 Calculation of depreciation One machine costs £ 1,200. What is its value after three years, assuming an annual de- preciation of 15°/o. V = (1 — 0.15)? x 1,200 = 736.95 Decimal point in 6th position. 1. 0.15 0.850000 0.850000 0.850000 0.614125 1,200. MM 736.9500 >| eeog ° Calculation of raising percentage Calculate the percentage increase between the values: Xx, = 12,563 and X. = 15,500 15,500 — 12,563 12,563 x 100 = 23,37 % Decimal point in 2nd position 15,500 | 12,563 4 12,563.00 E) | HR 2937.00 xX 100 Ls | EXE 12,563.00 S| 23.37 Interest calculation interest on £ 15,000. for 120 days at 6.5 /o per year 15,000 x 120 x 0.065 360 Decimal point in 3rd position 15,000 120 .065 360 | 325.000 Interest calculation on bank account Credit on 31st December 360 days £ 2,869 May 29 Deposit 211 days £ 1,850 June 17 Deposit 193 days £ 680 August 21 Deposit 129 days £ 700 September 19 Drawn 101 days £ 1,200 — October 14 Deposit 76 days £ 2,200 £ 7,099 Interest on 31st December (3.25°/o) £ 152.635 Credit on 31st December £ 7,251.635 3.25x = (daysxCapital) — 3.25 x 1,690,730 = = 152.635 100 x 360 100 x 360 Decimal point in 3rd position 360 LX | 2,869 1,032,840.000 211 x 1,850 IO | 390,350,000 193 X | 680 emi 131,240.000 129 xX | 700 90,300.000 101 1 & 1,200 — 121,200.000 76 2,200 167,200.000 1,690,730.000 3.25 100 360 152.635 2,869 1,850 680 700 1,200 2,200 | 7,099.000 | M | 152.635 iz 7,251.635 Amortization rates Property is purchased for $ 128,500. $ 62,000 are paid in cash. The remainder of the sum must be paid in six annual instalments at a yearly interest rate of 7.5 %/o. Calculate the amount of the single instalments. R = (128,500 — 62,000) 0.075 = 14,167.426 1—(1 + 0.075) Decimal point in 6th position 1 om 075 LO | | M_| 1.075000 LX | | M | 1.075000 LX | | M | 1.075000 X | | | 1.075000 X | | | 1.075000 X | | | 1.075000 | 1.543301 1 3 1.543301 | 0.647961 7 = 1 | 075 H 0.352039 LO | 0.213044 128,500 | 62,000 &] | 7 66,500.000000 LX | | M | 0.213044 | 14,167.426000 Loan repayment Capital for amortization $ 5,000.00 Repayment rate 5°%o per annum Interest rate 8°o per annum Yearly quota: 5 °%o on 5,000.00 = $ 250.00 8 °%o on 5,000.00 = $ 400.00 $ 650.00 Year Interest Repayment Residual principal 1 400.00 250.00 4,750.00 2 380.00 270.00 4,480.00 3 358.40 291.60 4,188.40 and so on until the residual principal reaches zero. Decimal point in 2nd position 5,000 X | 05 em 250.00 A | 5,000.00 X | .08 400.00 650.00 5,000.00 250 4,750.00 08 380.00 650.00 270.00 4,750 4,480.00 08 358.40 650.00 291.60 4,480 4,188.40 ee ce Om © 8 WH fH Bo PEE oOREE OTT and so on. Invoicing 15%. discount 4% sales tax 3°%o discount Total Decimal point in 4th position 16 X | 2,141 KOM 34,256.0000 24 LX | 311 LeM 7 464.0000 16 x 2,141 = 34,256.0000 24x 311 = 7,464.0000 41,720.0000 6,258.0000 35,462.0000 1,418.4800 36,880.4800 1,106.4140 35,774.0660 EXE 41,720.0000 LX 15 [=] LOM _ 6 258.0000 EX 35,462.0000 xX 04 FORE: 418.4800 EXE 36,880.4800 x | 03 [=] KOM 106.4144 MXM 35,774.0656 Evaluation of a polynomial x4 + 7.1x3 + 6.72 x? + 4x— 16 = — 131.5668 for x = —43 Decimal point in 4th position 4.3 [=] LX | — 4.3000 18.4900 — 4.3000 LX 18.4900 — 79.5070 — 4.3000 x — 79.5070 341.8801 — 4.3000 X | 4.3000 18.4900 — 4.3000 x 18.4900 — 79.5070 xX 7A — 564.4997 43 [=] X | 4.3000 18.4900 | 6.72 i g peepeegeagecEys | Fem 124.2528 43 4 ems — 17.2000 16 — 131.5668 ° , 43 — 4.3000 7.1 2.8000 — 4.3000 — 12.0400 6.72 — 5.3200 4.3000 22.8760 4 26.8760 — 43000 — 115.5668 16 — 131.5668 IM Eze schemi di calcolo calculation schedule schemas de calculs esquemas de calculo rechnungsbeispiele 25.22 + 32.57 — 11.6 = 46.19 25(¢] 22 32Le] 57 = nbleE mm 42.5 X 5.7 = 242.25 allsEa;-l, — 52.32 X 1.537 = 80.4158 s2Le] 32 [=] E8iC)537 26.68 : 2.56 = 10.4218 ceLeles i 2C)sc 2.21? = 4.8841 AGP XBAR (— 3.2)? = — 32.768 sc LE I Timo ki il am (5.31 X 3.75) :17 = 1.1713 s(e]s:Eas()7si.7 8.32X2.25 X32.75 = — 613.0800 se] soko) Keo C]7s 5,27 X (—4.31) X57.23 = —1299.9051 — 686.8251 sCloKullsE Esc]. | M | 17.23:43 = 4.0069 7-0]; Sal — 5.25 -3.27 = — 1.6055 2.4014 5L¢] os[=] Is] 27 (oe | M | 12.47 X 5.6 = 69.8320 st] 6kai2C).7 i 8.23 X 5.6 = 46.0880 ABXEQE: | 523.756 : 26.57 = 17.7123 26 [¢]s7 ROE 523(¢] 750 I 327.245 : 26.57 = 12.3163 3e7Le] 245 a3 | M | Pd 3.27 Bap ae = 0.4407 3.27 + 4.15 04 sts Zi ol. OG 572 X 53.25 = 30459.0000 75 X 105.75 = 7931.2500 38390.2500 — 15°%/o — 5758.5375 32631.7125 + 4°%/o 1305.2685 33936.9810 572fblss Le] 25 | 75 E105 [2] 75 ions LM | LX ORO LM | fa CL] oo om DESIGN STUDIO SIRONI / PRINTED IN ITALY / GRAFICHE A. NAVA - MILANO