The proper definition of a modern digital computer is

an electronic automated machine that can solve problems involving words and numbers
a more sophisticated and modified electronic pocket calculator
any machine that can perform mathematical operations
a machine that works on binary code E. None of the above

The correct answer is: A. an electronic automated machine that can solve problems involving words and numbers.

A modern digital computer is an electronic device that can be programmed to carry out sequences of arithmetic or logical operations automatically. Modern computers can perform generic sets of operations known as programs. These programs enable computers to perform a wide range of tasks.

A computer consists of at least one processing element, typically a central processing unit (CPU), and some kind of memory, typically semiconductor memory. The processing element carries out arithmetic and logical operations, and the memory stores information. Peripheral devices allow input/output to and from the computer.

Computers are used for a wide variety of purposes, including:

  • Data processing
  • Control systems
  • Scientific and engineering calculations
  • Word processing
  • Multimedia and entertainment
  • Communication
  • Internet access
  • Gaming
  • Education
  • Business

Computers are becoming increasingly powerful and versatile, and are used in an ever-growing number of applications.

Option B is incorrect because a modern digital computer is not simply a more sophisticated and modified electronic pocket calculator. A pocket calculator is a small, handheld device that can perform basic mathematical operations. A modern digital computer is a much more powerful and versatile device that can perform a wide range of tasks.

Option C is incorrect because a modern digital computer is not simply any machine that can perform mathematical operations. There are many machines that can perform mathematical operations, such as adding machines and slide rules. However, these machines are not considered to be computers because they do not have the same level of programmability and versatility as modern digital computers.

Option D is incorrect because a modern digital computer is not simply a machine that works on binary code. Binary code is a system of representing numbers and text using only two digits, 0 and 1. However, binary code is not the only way to represent information in a computer. For example, computers can also use hexadecimal code, which uses 16 digits, 0-9 and A-F.

Option E is incorrect because the definition of a modern digital computer is not none of the above. The definition of a modern digital computer is an electronic automated machine that can solve problems involving words and numbers.