## Decimal to binary conversion

Successive division method for integral values: Let the decimal number be 26 so we can convert it to binary by dividing the number  with the base=2  and then write the quotient and remainder as shown below and then again divide the quotient with the base till we get quotient as zero. This method is also called Double-dabble method. […]

b=16                         {value of A=10, B=11, C=12, D=13, E=14, F=15} (A0F) 16 = A * 162 + 0 *161 + F *160 = 10 * 162 + 0 *161 + 15 *160 =2560 + 15 = (2575) 10 Similarly 11.116 = 1 x (161) + 1 x (160) + 1 x (16-1) = 17.062510  12.316 = 1 x (161) + 2 x (160) + […]

## Octal system

Octal system: b=8 (407)8 = 4 * 82 + 0 *81 + 7 * 80 = (261)10 Similarly 24.68 = 2 x (81) + 4 x (80) + 6 x (8-1) = 20.7510 11.18 = 1 x (81) + 1 x (80) + 1 x (8-1) = 9.12510 The weights of the corresponding bits for octal system are as 84 […]

## Decimal System

This is the system which we use in daily life Value of b=10 e.g.  (456)10 = 4*102 + 5*101 + 6* 100 The weights of the corresponding bits for decimal system are as 104 103 102 101 100 . 10-1 10-2 10000 1000 100 10 1 . 0.10 0.01 MSB         Decimal point   […]

## Introduction

If we have a number    n4n3 n2 n1 n-1 n-2 n-3   and base or radix is b so the value of the number is n3*b3   + n2 *b2+ n1 *b1+ n0 *b0 + n-1 *b-1+ n-2 *b-2 So we can vary the value of b to get a different number system. We specify the value of the base as suffix to the number to represent which number system is being […]