Number System Conversion (by amirul firuz)

Decimal to Binary

Let's take 4310

read it from below to top, and you will get 1010112

Decimal to Hexadecimal

Let's take 241310

Weight	163	162	161	160	16-1	16-2
Value Represented	4096	256	16	1	0.0625	0.00390625
Hexadecimal		9	6	13 = D

2413 - (256 x 9 = 2304) = 109

109 - (16 x 6 = 96) = 13

13 - (1 x 13 = 13) = 0            **13 in hexadecimal is D

the answer is 96D16 

Binary to Hexadecimal

Let's take 100011010011.11112

1       0       0        0	1        1       0       1	0      0       1      1	.	1       1       1      1
8(1)+4(0)+2(0)+1(0)	8(1)+4(1)+2(0)+1(1)	8(0)+4(0)+2(1)+1(1)	.	8(1)+4(1)+2(1)+1(1)
=8	=13 = D	=3	.	=15 =F

the answer is 8D3.F16

Hexadecimal to Binary

Let's take 15A.D16

1 digit in hexadecimal represent 4 digits in binary. We can do this directly.

116 = 110 = 00012

516 = 110 = 01012

A16 = 1010 = 10102

D16 = 1310 = 11012


Thus, 15A.D16 = 101011010.11012