Question

 Perform the following conversion of numbers:

(i) Decimal (2536475891)10 to binary and hexadecimal.
(ii) Hexadecimal (FABCD1E)h to Octal.
(iii) String “ISO-8859-1 coding” to UTF 16.
(iv) Octal (23174560)O to Decimal

 

13 Sep 2024
Answer :
Word Count : 1020

### (i) Decimal (2536475891)₁₀ to Binary and Hexadecimal

To convert the decimal number 2536475891 to binary and hexadecimal, we follow the steps for each conversion:

Decimal to Binary:
1. Divide the number by 2, recording the quotient and the remainder.
2. Continue dividing the quotient by 2 until the quotient becomes 0.
3. The binary equivalent is the sequence of remainders read from bottom to top.

Let’s convert 2536475891 to binary:
- 2536475891 ÷ 2 = 1268237945 remainder 1
- 1268237945 ÷ 2 = 634118972 remainder 1
- 634118972 ÷ 2 = 317059486 remainder 0
- 317059486 ÷ 2 = 158529743 remainder 0
- 158529743 ÷ 2 = 79264871 remainder 1
- 79264871 ÷ 2 = 39632435 remainder 1
- 39632435 ÷ 2 = 19816217 remainder 1
- 19816217 ÷ 2 = 9908108 remainder 1
- 9908108 ÷ 2 = 4954054 remainder 0
- 4954054 ÷ 2 = 2477027 remainder 0
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