
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN: 9780133923605
Author: Robert L. Boylestad
Publisher: PEARSON
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![### Binary Addition and Overflow
For each number set, perform the following binary addition operations and predict the outputs, sums, and carries. Note if an overflow has occurred.
**Key Concept:**
- **Overflow** occurs when you add two positive numbers and get a negative result, or vice versa.
- **Addition Overflow:** Cannot happen if one number is positive and the other negative.
- **Subtraction Overflow:** Happens if the signs are different and the result's sign matches the subtrahend's (bottom number's sign). Doesn't occur if both numbers have the same sign.
#### Number Sets for Addition:
---
#### Set #1: ADD
- **A = 1**
- **B = 3**
- Binary Addition (S = Output, Cout = Carry out, Overflow = Overflow Indicator)
```
A3 A2 A1 A0
A = [ ][ ][ ][ ]
B3 B2 B1 B0
B = [ ][ ][ ][ ] +
----------------------------
S3 S2 S1 S0
S = [ ][ ][ ][ ]
Cout =
Overflow =
```
---
#### Set #2: ADD
- **A = 7**
- **B = 2**
- Binary Addition
```
A3 A2 A1 A0
A = [ ][ ][ ][ ]
B3 B2 B1 B0
B = [ ][ ][ ][ ] +
----------------------------
S3 S2 S1 S0
S = [ ][ ][ ][ ]
Cout =
Overflow =
```
---
#### Set #3: ADD
- **A = -8**
- **B = 4**
- Binary Addition
```
A3 A2 A1 A0
A = [ ][ ][ ][ ]
B3 B2 B1 B0
B = [ ][ ][ ][ ] +
----------------------------
S3 S2 S1 S0
S = [ ][ ][ ][ ]
Cout =
Overflow =
```
---
#### Set #4: ADD
- **A = -6**
- **B =](https://content.bartleby.com/qna-images/question/6674a345-3819-404a-bb58-af4f58fff999/64ce2388-bbd4-409c-894d-05780de2b7d7/88qtox_thumbnail.jpeg)
Transcribed Image Text:### Binary Addition and Overflow
For each number set, perform the following binary addition operations and predict the outputs, sums, and carries. Note if an overflow has occurred.
**Key Concept:**
- **Overflow** occurs when you add two positive numbers and get a negative result, or vice versa.
- **Addition Overflow:** Cannot happen if one number is positive and the other negative.
- **Subtraction Overflow:** Happens if the signs are different and the result's sign matches the subtrahend's (bottom number's sign). Doesn't occur if both numbers have the same sign.
#### Number Sets for Addition:
---
#### Set #1: ADD
- **A = 1**
- **B = 3**
- Binary Addition (S = Output, Cout = Carry out, Overflow = Overflow Indicator)
```
A3 A2 A1 A0
A = [ ][ ][ ][ ]
B3 B2 B1 B0
B = [ ][ ][ ][ ] +
----------------------------
S3 S2 S1 S0
S = [ ][ ][ ][ ]
Cout =
Overflow =
```
---
#### Set #2: ADD
- **A = 7**
- **B = 2**
- Binary Addition
```
A3 A2 A1 A0
A = [ ][ ][ ][ ]
B3 B2 B1 B0
B = [ ][ ][ ][ ] +
----------------------------
S3 S2 S1 S0
S = [ ][ ][ ][ ]
Cout =
Overflow =
```
---
#### Set #3: ADD
- **A = -8**
- **B = 4**
- Binary Addition
```
A3 A2 A1 A0
A = [ ][ ][ ][ ]
B3 B2 B1 B0
B = [ ][ ][ ][ ] +
----------------------------
S3 S2 S1 S0
S = [ ][ ][ ][ ]
Cout =
Overflow =
```
---
#### Set #4: ADD
- **A = -6**
- **B =
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