Introductory Circuit Analysis (13th Edition)
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 =
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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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