Perform the following conversion of numbers:(i) Decimal (5432109876)

Question

Perform the following conversion of numbers:
(i) Decimal (5432109876)10 to binary and hexadecimal.
(ii) Hexadecimal (FCEB9A86)h to Octal.
(iii) String “ABCD987$@&” to UTF 16
(iv) Octal (10235647)Oto Decimal

30 Nov 2023

Answer :

Word Count : 429

Conversion of Numbers in Computer Organization:

(i) Decimal to Binary and Hexadecimal:

Let's convert the decimal number (5432109876) base 10 to binary and hexadecimal.

Binary Conversion:
\[ 5432109876_{10} = 10100000000010011010010001011101111100_{2} \]

To convert a decimal number to binary, we repeatedly divide the decimal number by 2 and note the remainders until the quotient becomes zero. The binary equivalent is obtained by reading the remainders in reverse order.

Hexadecimal Conversion:
\[ 5432109876_{10} = 50E34A5F4_{16} \]

To convert a decimal number to hexadecimal, we can repeatedly divide the decimal number by 16 and note the remainders until the quotient becomes zero. The hexadecimal equivalent is obtained by _______ _____ ________ _______ _____ ___ _____ ____ _________ _____ ____.
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