Requirement of the Binary number System

  • In Digital electronics ‘1’ means ‘ON’ state of a switch and ‘0’ means ‘OFF’ state of the same switch. A switch can only be in one of the states.
  • The ‘1’ and ‘0’ are also referred to as Binary Number System in mathematics. Binary means system of counting.
  • In mathematics and digital electronics, a binary number is a number expressed in the binary numeral system or base-2 numeral system which represents numeric values using two different symbols: typically 0 (zero) and 1 (one). 
  • The base-2 system is a positional notation with a radix of 2.


Roughly, we can say each transistor is a bit. The minimum integer value the bit can hold is 0, and the maximum is 1. The operating system sees all the data as a cluster of 8 bits each of such cluster is called byte. The whole memory is divided into bytes which is a group of 8 bits 1 KB = 1024 bytes, 1 byte = 8 bits.



ASCII (American Standard Code for Information Interchange) is a character representation scheme based on 7 bits. That is, every character in this scheme can be represented as a unique combination of 7 binary digits. 

Letter          ASCII Code          Binary           Letter       ASCII Code       Binary
a09701100001A065  01000001
b09801100010B066  01000010
c09901100011C067  01000011
d10001100100D068  01000100
e10101100101E069  01000101
f10201100110F070  01000110
g10301100111G071  01000111
h10401101000H072  01001000
i10501101001I073  01001001
j10601101010J074  01001010
k10701101011K075  01001011
l10801101100L076  01001100
m10901101101M077  01001101
n11001101110N078  01001110
o11101101111O079  01001111
p11201110000P080  01010000
q11301110001Q081  01010001
r11401110010R082  01010010
s11501110011S083  01010011
t11601110100T084  01010100
u11701110101U085  01010101
v11801110110V086  01010110
w11901110111W087  01010111
x12001111000X088  01011000
y12101111001Y089  01011001
z12201111010Z090  01011010

Conclusion : Binary number System has straightforward implementation in digital electronic circuitry using transistors and logic gates, It is used internally by almost all modern computers and computer-based devices.