Question: 1. (a) Explain the rules for binary subtraction using 1 's and 2 's complement methods. (b) What is gray code? Why it is important?

1. (a) Explain the rules for binary subtraction using 1 's

1. (a) Explain the rules for binary subtraction using 1 's and 2 's complement methods. (b) What is gray code? Why it is important? (c) Convert the following to decimal (i) (2376)8 (ii) (743)4 2. (a) Perform the following binary arithemetic (i) 101.101100.1 (ii) 111111+1001 (b) Subtract the following using 2's complement method (i) 1101-1001 (ii) 110111-11011 3. What are the Boolean theorems? Discuss their usefulness in respect to logic design. (6) 4. Simplify the following expression using Boolean algebra. a. A+AB (3) b. B+B (3) c. ABC+AC (3) d. AB+ABC+ABC (4)

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