Question

What would be the best binary representation for each of the following applications?

- Phone number
- Age (positive integer)
- Test grade
- Checking account balance
- Value read from a postal scale - Price

Answer 1

Phone number:

Decimal (Base 10) Number System

Decimal number system has ten symbols: 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9, called digits. It uses positional notation. That is, the least-significant digit (right-most digit) is of the order of 10^0

the second right-most digit is of the order of 10^1 the third right-most digit is of the order of 10^2

where ^ denotes exponent

Example:

735 = 700 + 30 + 5 = 7×10^2 + 3×10^1 + 5×10^0

Age:

I am attaching the table whivh will help to get all Decimal Binary and HexaDecimal values:

For example, a sixteen bit variable can be represented by 0xAB12

binary simply take each individual numeral, convert it as per the table and join them all together 16-bit binary number 1010101100010010