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Number systems - Coggle Diagram
Number systems
HEXADECIMAL NUMBERING SYSTEM
The
suffix -decimal means ten and the prefix hexa- means 6 (as in hexagon).
The hexadecimal numbering system has 16 unique numbers.
The hexadecimal system uses the first six letters of the alphabet , with
A
equal to 10,
B
equal to 11,
C
equal to 12,
D
equal to 13,
E
equal to 14
F
equal to 15
BINARY NUMBERING SYSTEM (BASE 2
The prefix bi- means two (as in bicycle).
Binary numbering system has
only two unique values: 0 and 1.
You increase the value of a digit until it reaches the largest digit possible (1)
CONVERTING FROM BINARY TO DECIMAL
CONVERTING FROM DECIMAL TO BINARY
Step 1: Find the largest power of 2 that is smaller than or equal to the decimal number.
Step 2: Divide the decimal number by this power
Step 3: Write down the answer of the division (1) underneath the power
Step 4: Rewrite the decimal number in terms of the division and its remainder
Step 5: Repeat this process with the remainder until there is no remainder left.
Step 6: Write down 0 under all the powers that were not used
In the binary system, each digit can only hold
two unique values
CONVERTING FROM HEXADECIMAL TO DECIMAL
Step 1:
Find the largest power 16 that is smaller or equal to the decimal number.
Step 2
: Divide the decimal number by this power.
Step 3
: Write down the answer of the division underneath the power.
if the number is larger than 9, write the appropriate hexadecimal digit.
Step 4
: Rewrite the decimal number in terms of the division and its remainder.
Step 5
: Repeat this process with the remainder until there is n remainder left.
Step 6
: Write down 0 under all the powers that were not used.
The place value of each new digit in a
hexadecimal number increases by 16.
DECIMAL NUMBERING SYSTEM (BASE 10
The prefix
‘deci’ means 10.
There are 10 numbers in the decimal system:
0, 1, 2, 3, 4,
5, 6, 7, 8 and 9.