DOUBLING IS THE BEST WAY

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1. CODE

Double the number as follows

1, 2, 4, 8

= 2^0, 2^1, 2^2, 2^3

Now reverse them as 8 4 2 1

Now code as follows

8 4 2 1

0 0 0 0 represents 0

0 0 0 1 represents 1

0 0 1 0 represents 2

0 0 1 1 represents 3

0 1 0 0 represents 4

0 1 0 1 represents 5

..... .... ... .... ......

.... ..... .... .. ......

1 1 1 1 represents 15

8 4 2 1 code can represent up to 15. But 0 to 9 is enough to represent all numbers.

8 4 2 1 8 4 2 1 8 4 2 1

345 = 0 0 1 1(3) 0 1 0 0(4) 0 1 0 1(5)

this code is used in digital gadgets.

2. Weights:

In those days, weighing stones were used by traders. To measure up to 255 kg, the following weights are enough.

1,2,4,8,16,32,64,128

(doubling way)

To weigh 153 kg, use

128+16+8+1 =153

You can try any other weight.

3. Doubling money:

Normally, coins and notes in the following denominations are in circulation.

1,2,5,10, 20,50,100,200,500,1000, 2000

Here, instead 4, five is used. So, it will be practical and round one. Now the transaction and trading will be easy with those banknotes and coins.

4. Egyptian Multiplication:

We want to multiply 13 and 7. Let 13 be the multiplicand and 7 be the multiplier. Now, write doubling numbers in one column up to multiplicand and not exceeding the multiplicand.

Not 16, it exceeds 13.

In the next column, start with multiplier and double it every step.

Multiplicand multiplier

1 7

2 14

4 28

8 56

In the first column, if you add 1+4+8 = 13, we get the multiplicand. In the second column, add the corresponding numbers, you get the answer 91 (7+28+56).

Principle: We want 13 times7. Adding 1 times 7, 4 times 7, and 8 times 7, we get 91 which is 13 times 7.

Egyptians practiced this kind of multiplication in 2000 BC. How smart they were!

Comments

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