1. Compute the output signals S and T for the circuit. Input signals P = 1, Q = 1, and R = 1. 2. Use 8-bit representations to compute the following sum. Show all work. 57+(-118) 3. Find a counterexample to show that the following statement is false: Vx e R, x>1

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Hi I am a beginner at computer science. Specifically, I need help with binary representation of numbers. I feel like I need help understanding the methods used to solve equations. The question I am having trouble with is attached

1. Compute the output signals S and T for the circuit. Input signals P = 1, Q = 1, and R =
1.
2. Use 8-bit representations to compute the following sum. Show all work. 57 + (-118)
3. Find a counterexample to show that the following statement is false: Vx e R, x > 1
4. Is the proposed negation correct? If yes, provide a sound reasoning. If not, provide a
sound reasoning and write the correct negation.
Statement: For all integers n, if n2 is even then n is even. Negation: For all integers n, if n2 is
even then n is not even.
half-adder #1
S1
AND
half-adder #2
R
Transcribed Image Text:1. Compute the output signals S and T for the circuit. Input signals P = 1, Q = 1, and R = 1. 2. Use 8-bit representations to compute the following sum. Show all work. 57 + (-118) 3. Find a counterexample to show that the following statement is false: Vx e R, x > 1 4. Is the proposed negation correct? If yes, provide a sound reasoning. If not, provide a sound reasoning and write the correct negation. Statement: For all integers n, if n2 is even then n is even. Negation: For all integers n, if n2 is even then n is not even. half-adder #1 S1 AND half-adder #2 R
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