raptor programming

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Question

Answer

1.

Which type of integer representation would have a range of 0 - 255?

2.

Which types of binary integer representation could have a range of:

-32,767 … -0 +0 … +32,767

3.

Give one example of how unsigned integers might be used by a computer program.

4.

(a) In binary representation, 1 + 0 = __________.

(b) In binary representation., 1 + 1 = __________.

5.

In 16-bit unsigned representation, the maximum unsigned integer is __________.

6.

Which of the following is not an integer:

(a) 5 (b) 0 (c) 6.0 (d) 95,842,213 __________

7.

Which of the following is not an integer:

(a) -5 (b) 4.6 (c) +0 (d) -2,398,421,890 __________

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8.

Convert the following decimal integers to 8-bit unsigned binary integers or indicate if an overflow condition occurs:

(a) 10 __________ (b) 43 __________

9.

Convert the following decimal integers to 8-bit unsigned binary integers or indicate if an overflow condition occurs:

(a) 129 __________ (b) 304 ___________

10.

What is the smallest unsigned integer that can be represented in the following memory allocations:

(a) 16-bit ________ (b) 4-bit ________ (c) 128-bit ___________

11.

What is the largest unsigned integer that can be represented in the following memory allocations:

(a) 4-bit ________ (b) 8-bit _______ (c) 10-bit ___________

12.

Convert the following decimal integers to 8-bit sign-and-magnitude integers:

(a) +34 ________________ (b) -39 ___________________

13.

Convert the following decimal integers to 8-bit sign-and-magnitude integers:

(a) -112 _________________ (b) +342 ____________________

14.

Represent the following decimal integers in an 8-bit binary location using one’s complement format:

(a) +87 ____________________ (b) -15 ____________________

15.

Represent the following decimal integers in an 8-bit binary location using one’s complement format:

(a) -142 ____________________ (b) -0 ___________________

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16.

Find the two’s complement of the following integers using a 4-bit memory location:

(a) +7 ______________________ (b) -7 ____________________

17.

Find the two’s complement of the following integers using a 4-bit memory location:

(a) -1 _______________________ (b) +13 ____________________

18.

Find the two’s complement of the following integers using an 8-bit memory location:

(a) +52 _____________________ (b) -59 ______________________

19.

Find the two’s complement of the following integers using an 8-bit memory location:

(a) -130 ____________________ (b) -118 _____________________

20.

What is the largest sign-and-magnitude integer that can be represented in the following memory allocations:

(a) 4-bit ___________________ (b) 18-bit ___________________

Challenge

Show how the two’s complement works for the binary integer -1659, stored oin a 16-bit memory location. Use the mathematical representation:

(2X – N) where X = the number of bits and N= the number