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Given the 32-bit binary number: (detailed calculations not required) 1000 1001 1

ID: 3004419 • Letter: G

Question

Given the 32-bit binary number: (detailed calculations not required)

1000 1001 1000 1001 0000 1011 0000 00112            (5 points total)

Write this number in hexadecimal. (1 point)

As an unsigned integer, what is this number’s decimal value? (1 point)

As a two’s complement integer, what is the decimal value? Explain process, but detailed calculations not required. (3 points)

Given the following hexadecimal number: (detailed calculations not required)

abcd123416                                                                  (5 points total)

Express this number in binary. (1 point)

As an unsigned integer, what is this number’s decimal value? (1 point)

As a two’s complement integer, what is the decimal value? Explain process, but detailed calculations not required. (3 points)

Explanation / Answer

Post one more question to get the remaining answers

1000 1001 1000 1001 0000 1011 0000 0011

a) Hexadecimal number = 89890B03

b) Unsigned Integer

Number = 1 * 2^(31) + 1 * 2^(27) + 1 * 2^(24) + 1 * 2^(23) + 1 * 2^(19) + 1 * 2^(16) + 1 * 2^(11) + 1 * 2^(9) + 1* 2^(8) + 1 * 2^(1) + 1 * 2^(0)

=> 2307459843

c) 2's complement method

Number = -1 * 2^(31) + 1 * 2^(27) + 1 * 2^(24) + 1 * 2^(23) + 1 * 2^(19) + 1 * 2^(16) + 1 * 2^(11) + 1 * 2^(9) + 1* 2^(8) + 1 * 2^(1) + 1 * 2^(0)

Final Answer: -1987507453

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