Representable things are those that can be expressed or depicted in some form, such as ideas, emotions, or objects. These can be communicated through language, art, or other means. On the other hand, non-representable things are those that cannot be easily expressed or captured, such as certain abstract concepts, ineffable experiences, or the complexity of human consciousness. These may be difficult to convey through traditional means of communication. **

In this context, "representable" refers to a number that can be expressed as a sum of distinct powers of 2, while "non-representable" refers to a number that cannot be expressed in this way. For example, the number 11 is representable because it can be expressed as 2^3 + 2^1 + 2^0, while the number 6 is non-representable because it cannot be expressed as a sum of distinct powers of 2. **

There are 900 three-digit numbers that are representable. This is because a three-digit number can range from 100 to 999, inclusive. The total number of three-digit numbers can be calculated by subtracting the smallest three-digit number (100) from the largest three-digit number (999) and adding 1. **

The minimum and maximum representable values of data types can be output by using the predefined constants provided in the standard library of the programming language. For example, in C/C++, the limits.h header file provides constants like INT_MIN, INT_MAX, etc. These constants can be used to output the minimum and maximum representable values of integer data types. Similarly, in languages like Java, the Integer class provides constants like Integer.MIN_VALUE and Integer.MAX_VALUE to output the minimum and maximum representable values of integer data types. **

For 11 bits, the largest representable number is 2047 (2^11 - 1) and the smallest representable number is -2048 (-2^11). For 16 bits, the largest representable number is 32767 (2^16 - 1) and the smallest representable number is -32768 (-2^16). **

One can output the minimum and maximum representable values of data types by using the limits.h header file in C or the climits header file in C++. These header files contain predefined constants that represent the minimum and maximum values of various data types. By including these header files in a program, one can easily access and output the minimum and maximum representable values of data types such as integers, floats, and doubles. **

Three possible vectors that are linearly dependent but not representable by each other could be: 1. (1, 2, 3), (2, 4, 6), and (3, 6, 9) - these vectors are linearly dependent because one is a scalar multiple of the other, but they are not representable by each other because they are not equal. 2. (1, 0, 0), (0, 1, 0), and (0, 0, 1) - these vectors are linearly dependent because they can be combined to form the zero vector, but they are not representable by each other because they are not equal. 3. (1, 1, 0), (0, 1, 1), and (1, 0, 1) - these vectors are linearly dependent because they can be combined to form the zero vector, but they are not representable by each other **

I would follow a balanced fitness lifestyle that includes a mix of cardiovascular exercise, strength training, flexibility work, and rest. I believe in the importance of variety to keep things interesting and to work different muscle groups. Additionally, I would focus on setting realistic goals, listening to my body, and making sustainable changes to my diet and exercise routine. Overall, I believe in a holistic approach to fitness that prioritizes both physical and mental well-being. **