numberSystemsCVRchart

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Octal 4 Bina!) , 
 Expand octal into groups of 
3 bits 
EX: (743) - 
(111100011) 2 
Binary 4 Hexa 
Convert into De- im 
first. 
Group 4 bits by starting 
from right to left. 
EX: (110101.10110)2 
(6B6) 16 
Binary 4 Octal 
Convert into Decima 
Ciroups of 3 bits start 
from right to left. 
EX:011,001101010 
(34652)1 6 
Hexa 4 Binary 
Expand each character digit 
to a group of 4 binary bits. 
EX.. (FEC21) 16 = 
(71111110110000100001) 2 
Hexa Octal 
first. 
ng 
0), 
Binary 
Hexa 4 Dec 
Add each di gi 
powered by p 
EX: (12AC) 
1 * 163 + 2 
+ C * 16° = 
t to the base 
Ds ition . 
16 2 4- A * 16 
780),„ 
Octal -> Decimal 
Ad I eac h digit to the ba° 
powere d by position. 
EX.: (76 5)8= 7 , 82 6 * 8' + 5 * 8° 
(5 0 1 )1 0 
Binary 4 Decimal 
Add each digit to the bas, 
powered by position. 
EX: (1100)2 = 
I *23 + * 22 + 0 * 2' - 
* ,0 => + 4 + 0 + 0 
(12)io 
Decimal 4 Binary 
Divide decimal by 2, take 
?mainder (start from right) 
E.V Ow- (111)2 
Decimal 4 Hexa 
Divide by 16 
Take remainder of that 
division. 
Reverse orders of remainders 
EX: (128) 10 = (80) 16 
Decimal 
Decimal 4 Octal 
Divide by 8 
Take remainder of that 
division. 
Reverse orders of remainc ers 
EX: (12) 1 0= (14)8 
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