Binary Numbers Representation in Math

Introduction:

The binary numeral system, or base-2 number system, represents numeric values using two symbols, 0 and 1. More specifically, the usual base-2 system is a positional notation with a radix of 2. Owing to its straightforward implementation in digital electronic circuitry using logic gates, the binary system is used internally by all modern computers.

Binary Numbers Representation in Math:

In the binary number representation consists of octal, decimal, and hexa decimal numbers in the column. We can be represent the binary numbers by use of its operation. In the binary number representation, the decimal is easiest method of understanding binary numbers.

For example: 1234,

1 is represent the 1000’s

2 is represent the 100’s

3 is represent the 10’s

4 is represent the 1’s

Which means,
1234 = 1x1000 + 2x100 + 3x10 + 4x1

Given binary number representation,

1000	= 10^3 = 10x10x10
100	= 10^2 = 10x10
10	= 10^1 = 10
1	= 10^0 (any number to the exponent zero is 1)

The table above can be represented as the binary numbers,

Such that,
1234 = 1x1000 + 2x100 + 3x10 + 4x1
= 1x10^3 + 2x10^2 + 3x10^1 + 4x10^0