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-6 -5 For each number set, complete the following operations and predict what your output sums and carries should be. You should also note if overflow has occurred. Remember overflow occurs when you add two positive numbers and the result is negative or vice versa. Addition overflow cannot occur if one number is positive and the other is negative. Subtraction overflow occurs if the signs are different and the sign of the result is the same as the subtrahend's (bottom number's) sign. Subtraction overflow cannot occur if the signs of both numbers are the same. Set #1: ADD A= 1 A3 A₂ A₁ Ao B3 B₂ B₁ Bo Set #2: ADD 7 A= A3 A₂ A₁ Ao B3 B₂ B₁ Bo

-6 -5 For each number set, complete the following operations and predict what your output sums and carries should be. You should also note if overflow has occurred. Remember overflow occurs when you add two positive numbers and the result is negative or vice versa. Addition overflow cannot occur if one number is positive and the other is negative. Subtraction overflow occurs if the signs are different and the sign of the result is the same as the subtrahend's (bottom number's) sign. Subtraction overflow cannot occur if the signs of both numbers are the same. Set #1: ADD A= 1 A3 A₂ A₁ Ao B3 B₂ B₁ Bo Set #2: ADD 7 A= A3 A₂ A₁ Ao B3 B₂ B₁ Bo

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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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 =
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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