Checkpoint 4.4.1. Binary Addition.
- False
- Correct!
- True
- Incorrect.
True or False: The process for adding binary numbers will differ based on whether the binary numbers represent a signed or unsigned number.
Section 4.4 Binary Integer Arithmetic
Checkpoint 4.4.2. Carryout.
Given the following additions of 4-bit binary numbers, where only the first bit in each number is specified and the others are unspecified (i.e., shown as ? instead of 0 or 1).
(a)
- 0
- Correct!
- 1
- Incorrect.
- Could be 0 or 1
- Incorrect.
What will be the carry out of the overall addition of the two binary numbers:
0??? + 0???
(b)
- Could be 0 or 1
- Correct!
- 1
- Incorrect.
- 0
- Incorrect.
What will be the carry out of the overall addition of the two binary numbers:
0??? + 1???
(c)
- 1
- Correct!
- 0
- Incorrect.
- Could be 0 or 1
- Incorrect.
What will be the carry out of the overall addition of the two binary numbers:
1??? + 1???
Checkpoint 4.4.3. Carry Out.
- The 1 value is discarded from the result.
- Correct!
- The number of bits used to store the result increases by 1, allowing the 1 value to be stored with the result.
- Incorrect.
- The number of bits used to store the result is doubled, where the 1 value is stored with the second n-bit part of the result, and its higher-order bits are set to 0 (e.g. 0001).
- Incorrect.
- None of the above.
- Incorrect.
Which of the following best describes what happens when the overall carry out of N-bit binary addition is a 1?
Checkpoint 4.4.4. Binary Subtraction.
(a)
- The bits of Y are flipped, one is added, and the result is added to X.
- Correct!
- The bits of X are flipped, and the result is added to Y.
- Incorrect.
- The bits of Y are flipped, and the result is added to X.
- Incorrect.
- The bits of X are flipped, one is added, and the result is added to Y.
- Incorrect.
Which of the following best describes how binary subtraction works for unsigned operands? Assume the desired operation is X - Y?
(b)
- The bits of Y are flipped, one is added, and the result is added to X.
- Correct!
- The bits of X are flipped, and the result is added to Y.
- Incorrect.
- The bits of Y are flipped, and the result is added to X.
- Incorrect.
- The bits of X are flipped, one is added, and the result is added to Y.
- Incorrect.
Which of the following best describes how binary subtraction works for signed (two’s complement) operands? Assume the desired operation is X - Y?
Checkpoint 4.4.5. Addition in 2’s Complement.
What is the binary result of the following addition operation:
1001 + 0101
Enter in binary:
What is the decimal result of this result?
If it is interpreted as a signed number:
If it is interpreted as an unsigned number:
Checkpoint 4.4.6. Addition in 2’s Complement.
What is the binary result of the following addition operation:
0011 + 0101
Enter in binary:
What is the decimal result of this result?
If it is interpreted as a signed number:
If it is interpreted as an unsigned number:
Checkpoint 4.4.7. Subtraction in 2’s Complement.
For each of the following statements, select whether they are True or False.
(a)
- Subtraction can be performed with a combination of negation and addition: a - b = a + (-b).
- True
- Correct!
- False
- Incorrect.
(b)
- Subtracting a negative number from a negative number uses the same procedure as subtracting a positive number from a negative number.
- True
- Correct!
- False
- Incorrect.
(c)
- Subtracting unsigned numbers uses the same procedure as subtracting two’s complement numbers.
- True
- Correct!
- False
- Incorrect.
Checkpoint 4.4.8. Subtraction in 2’s Complement.
What is the binary result of the following subtraction operation:
1001 - 0101
Enter in binary:
What is the decimal result of this result?
If it is interpreted as a signed number:
If it is interpreted as an unsigned number:
Checkpoint 4.4.9. Subtraction in 2’s Complement.
What is the binary result of the following subtraction operation:
1001 - 0101
Enter in binary:
What is the decimal result of this result?
If it is interpreted as a signed number:
If it is interpreted as an unsigned number:
