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The natural integer 6174 is known as Kaprekar's constant, [1] [2] [3] after the Indian mathematician D. R. Kaprekar. This number is notable for the following curious behavior: Select any four-digit number which has at least two different digits (leading zeros are allowed), Create two new four-digit numbers by arranging the original digits in a.
This creates the need to add an extra digit to the first operand—a guard digit—putting the subtraction into the form . Performing this operation gives as the result 2 1 × 0.0001 2 {\displaystyle 2^{1}\times 0.0001_{2}} or 2 − 2 × 0.100 2 {\displaystyle 2^{-2}\times 0.100_{2}} .
Download QR code; In other projects Appearance. move to sidebar hide ... English: GPO Style Manual 2016: Chapter 18. Geologic Terms and Geographic Divisions. Date:
Now, a line segment labeled with the numbers 1, 2, and 3. From position 3, it takes no steps to the left to stay at 3, so 3 − 0 = 3. It takes 2 steps to the left to get to position 1, so 3 − 2 = 1. This picture is inadequate to describe what would happen after going 3 steps to the left of position 3.
NNN/N represents the 3-digit manufacturer code and the number of the production line (e.g., 1023 would be Line 3 at Pine Bluff Arsenal (manufacturer 102)). Y/M indicates the last digit of the two-digit financial year (which runs July to June) and the one-digit financial bi-monthly code (e.g, 65 ; the "6" would be 1966 and the "5" would be March ...
The former is used to encode the digit 3, and the latter is used to represent the otherwise unrepresentable zero. The IBM 7070 , IBM 7072 , and IBM 7074 computers used this code to represent each of the ten decimal digits in a machine word, although they numbered the bit positions 0-1-2-3-4, rather than with weights.
When a borrow out is generated, 2 is added in the current digit. (This is similar to the subtraction algorithm in decimal. Instead of adding 2, we add 10 when we borrow.) Therefore, = +. The truth table for the full subtractor is:
Balanced ternary is a ternary numeral system (i.e. base 3 with three digits) that uses a balanced signed-digit representation of the integers in which the digits have the values −1, 0, and 1.