convertions

42 to binary:
42/2 = 21  > 0 * 2   = 0
21/2 = 10  > 1/2 * 2 = 1
10/2 = 5   > 0 * 2   = 0
5/2  = 2   > 1/2 * 2 = 1
2/2  = 1   > 0 * 2   = 0
1/2  = 0   > 1/2 * 2 = 1

== 101010
101010 to decimal:

1> 0  x 2 + 1 = 1
0> 1  x 2 + 0 = 2
1> 2  x 2 + 1 = 5
0> 5  x 2 + 0 = 10
1> 10 x 2 + 1 = 21
0> 21 x 2 + 0 = 42 <- final digit. result!!!
== 42

----------------
fraction decimal to binary:
43,625 to binary:
.625 * 2 = 1.25 > 1
.25 * 2  = 0.5  > 0
0.5 * 2  = 1    > 1
== .101

43/2 = 21 > 1/2 * 2 = 1
21/2 = 10 > 1/2 * 2 = 1
10/2 = 5  > 0 * 2   = 0
5/2  = 2  > 1/2 * 2 = 1
2/2  = 1  > 0 * 2   = 0
1/2  = 0  > 1/2 * 2 = 1

== 101011.101
-----------------
536 octal to binary:
5:
5/2 = 2  1/2*2 = 1
2/2 = 1  0*2 = 	 0
1/2 = 0  1/2*2 = 1

3:
3/2 = 1 1/2*2 = 1
1/2 = 0 1/2*2 = 1
0/2 = 0 0/2*2 = 0

6:
6/2 = 3         0
3/2 = 1  1/2*2  1
1/2 = 0  1/2*2  1

== 101 011 110

binary to octal:
101 to oct
1> 0  x 2 + 1 = 1
0> 1  x 2 + 0 = 2
1> 2  x 2 + 1 = 5 <- first digit

011 to oct:
0> 0  x 2 + 0 = 0
1> 0  x 2 + 1 = 1
1> 1  x 2 + 1 = 3 <- second digit

110 to oct:
1> 0  x 2 + 1 = 1
1> 1  x 2 + 1 = 3
0> 3  x 2 + 0 = 6 <- third digit

== 536

octal to decimal:
536 octal to decimal:
_5_36 > 0 + 5 x 8 = 40
5_3_6 > 3 + 40 x 8 = 344
53_6_ > 6 + 344 = 350
------------------------------
1F1A hex to binary to dicimal:
0-9 decimals &:
A = 10
B = 11
C = 12
D = 13
E = 14
F = 15

SHORT WAY:
1*16³ + 15*16² + 1*16¹ + 10*16⁰ = 7962
4096 +  3840 + 16 + 10 = 7962

LONG WAY:
1F1A to binary:
1 = 0001
F = 15 to binary:
15/2 = 7 > 1
7/2 = 3  > 1
3/2 = 1  > 1
1/2 = 0  > 1
1F = 00011111

1 = 0001
A = 10 to binary:
10/2 = 5 > 0
5/2  = 2 > 1
2/2  = 1 > 0
1/2  = 0 > 1
1A = 00011010
1F1A = 0001 1111 0001 1010

0001 1111 0001 1010 to decimal:
32768 16384 8192 4096 2048 1024 512 256 128 64 32 16 8 4 2 1
  0     0    0     1    1    1   1   1   0   0  0  1 1 0 1 0
4096 + 2048 + 1024 + 512 + 256 + 0 + 0 + 0 + 16 + 8 + 0 + 2 + 0
= 7962

decimal to binary to hex:
7962 to binary:

7962/2 = 3981  > 0 * 2   	= 0
3981/2 = 1990,5  > 1/2 * 2 	= 1
1990/2 = 995   > 0 * 2   	= 0
995/2  = 497,5   > 1/2 * 2 	= 1
497/2  = 248,5   > 1/2 * 2   	= 1
248/2  = 124   > 0/2 * 2 	= 0
124/2  = 62   > 0/2 * 2 	= 0
62/2  = 31   > 0/2 * 2 		= 0
31/2  = 15,5   > 1/2 * 2 	= 1
15/2  = 7,5   > 1/2 * 2 	= 1
7/2  = 3,5   > 1/2 * 2 		= 1
3/2  = 1,5   > 1/2 * 2	 	= 1
1/2  = 0,5   > 1/2 * 2	 	= 1
== 0001 1111 0001 1010

to hex:
0001 = 1
1111 to hex:
	1> 0  x 2 + 1 = 1
	1> 1  x 2 + 1 = 3
	1> 3  x 2 + 1 = 7
	1> 7  x 2 + 1 = 15
	== 15 = F
0001 = 1
1010 to hex:
	1> 0  x 2 + 1 = 1
	0> 1  x 2 + 0 = 2
	1> 2  x 2 + 1 = 5
	0> 5  x 2 + 0 = 10
	== 10 = A
==== 1F1A