Please enable JavaScript.
Coggle requires JavaScript to display documents.
Number System and Representation (Hexadecimal to Binary (2) Write the…
Number System and Representation
Number Systems
A set of numerals for representing numbers.
Binary Numbers (base 2)
Base 2 number system that uses 2 digits; 0
and 1.
Binary numbers are formed by combining
digits 0 and 1.
110, 0010, 1110, 10000111
Hexadecimal Numbers (base 16)
Base 16 number system that uses 16 symbols;
0,1,2, 3, 4, 5, 6, 7, 8, 9, A, B, C, D, E, F.
Digits 0 to 9 represents values 0 to 9, while
alphabet A to F represents values 10 to 15.
Hexadecimal numbers are formed by
combining any symbols from 0 to F.
25, A1, D6, 95C4
Decimal Numbers (base 10))
Base 10 number system that uses 10 digits;
0,1,2,3,4,5,6,7,8,9.
Decimal numbers are formed by combining
any digits from 0 to 9.
18, 265, 2016, 15000000
Decimal to Binary
2) Write the remainder at the right side.
3)Combine the remainders as the answer, taking
from the last remainder to the first.
1)Repeatedly divide the given decimal number by
Decimal to Hexadecimal
2) Write the remainder at the right side.
3)Combine the remainders as the answer, taking
from the last remainder to the first
1)Repeatedly divide the given decimal number by
16.
Hexadecimal to Decimal
2)Sum all the digit values to get the decimal value.
3)Place values of a hexadecimal number
1)Multiply each hexadecimal digit with its place
value to get the digit value.
Hexadecimal to Binary
2) Write the decimal value for each hexadecimal digit
3) Write 4-digit binary number for the decimal value
1)Write each hexadecimal digit separately
4) Combine all the binary numbers to get the answer
Binary to Hexadecimal
3) Write the hexadecimal digit for the decimal
value.
2) Write the decimal value for each set of 4-digit
binary number.
4) Combine all the hexadecimal digit to get the
answer
1) Write the binary number in sets of 4 digits.
Binary to Decimal
2)Sum all the digit values to get the decimal value
3)Place values of a binary number
1)Multiply each binary digit with its place value to
get the digit value.