Binary Number System

What is binary number system?

  • Binary system employs 2 as the base, So requiring only two different symbols for its digits, 0 and 1.
  • Also called as "base 2" numbers. The digits have a value specified which is equal to base number (2)^0,1,2,3,4,5,6.........n from right to left.
  • One binary digit is called bit. It is the smallest unit of binary system.
  • The lowest order bit is called Least Significant Bit and the highest order bit is called Most Significant Bit.

How to convert binary to decimal?

  • Multiply each bit with its value at respective position.
  • Add all the results.
Binary: 0 1 10 11 100 101 110 111 1000 1001 1010 1011 1100 1101 1110 1111
Decimal: 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Binary System in Computer Based Devices?

  • Binary numbers are used in digital electronics circuits in computer based devices where the logic gates can either turn on or off ( 0 = Off and 1 = On).
  • Bit is the smallest unit of data on a computer, each bit has a single value of either 0 ( low or off ) or 1 ( high or on).
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