Caveman Number System - Caveman Number Examples

Q.1_ What is the purpose of caveman number system kindly tell me why we are used caveman number system.?

Caveman number system is just a number system like binary number system or octal number system to represents the numbers.


Q.2_ What is real life examples of cave man number system?

Caveman number system is just a method of representing numbers like some other methods e.g hexadecimal or octal, it has no connection with our daily life.



Q.3_ Define the use of caveman number where we use these number?

Caveman number system is just a method of representing numbers like some other methods e.g hexadecimal or octal, it has no connection with our daily life.

Caveman number system

A number system discovered by archaeologists in a prehistoric cave indicates that the caveman used a number system that has 5 distinct shapes ∑, ∆,>, ῼ and ↑. Furthermore; it has been determined that the symbols ∑ to ↑ represents the decimal equivalents 0 to 5 respectively.
Centuries ago a caveman returning after a successful hunting expedition records his successful hunt on the cave wall by carving out the numbers ∆↑ represents decimal number 9.

The Caveman is using a Base-5 number system. A Base-5 number system has five unique symbols representing numbers 0 t0 4. To represent numbers larger then 4, a combination of 2, 3, 4 or more combinations of caveman numbers are used. Therefore, to represent the decimal 5, a two number combination of Caveman number system is used. The most significant digit is ∆ which is equivalent to decimal 1. The least significant digit is ∑ which is equivalent to decimal 0. The five combinations of Caveman numbers having the most significant digit ∆, represent decimal values 5 to 9 respectively. This is similar to the Decimal Number system, where a 2-digit combination of numbers is used to represent values greater then 9. The most significant digit is set to 1 and the least significant digit varies from 0 to 9 to represent the next 10 values after the largest single decimal number digit 9.

The Caveman number ∆↑ can be written in expression from based on the base value 5 and weights 5^0, 5¹, 5² etc.

= ∆ * 5¹ + ↑ * 5⁰ = ∆ * 5 + ↑ * 1

Replacing the Caveman numbers ∆ and ↑ with equivalent decimal values in the expression yields;
= ∆ * 5¹ + ↑ * 5⁰ = ∆ * 5 + ↑ * 1 = 9

 

The number ∆ ῼ↑∑ in decimal is represented in expression from as;
= ∆ * 5³ + ῼ * 5² + ↑ * 5¹ + ∑ * 5⁰ = ∆ * 125 + ῼ * 25 + ↑ * 5 + ∑ * 1

Replacing the Caveman numbers with equivalent decimal values in the expression yields;
= (1) * 125 + (3) * 25 + (4) * 5 + (0) * 1 = 125 + 75 + 20 + 0 = 220