Let the decimal number be 26 so we can convert it to octal by dividing the number with the base=8 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 Oct-dabble method. Conversion of fraction from decimal […]
Number System
Binary system
This is number system which is used to represent values in the digital environment. Here value of b=2 (11101.01)2 =1*24 + 1 *23 + 1 * 22 + 0 *21 + 1 * 20+ 0 *2-1 + 1 * 2-2 = (29.25)10 so number given is equal to 29 in decimal. Representing large values in binary system may be very cumbersome […]
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. […]
Hexadecimal system
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 […]