EECE 256 Assignment 1

# EECE 256 Assignment 1 - 5 Determine by means of a truth...

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Electrical and Computer Engineering 23/08/2010 1 EECE256 Assignment 1 1. Convert the following binary numbers in decimal: 101110; 1110101; and 110110100. 2. Convert the following decimal numbers to the bases indicated. a. 7562 to octal b. 1938 to hexadecimal c. 175 to binary 3. Show the value of all bits of a 12-bit register that hold the number equivalent to decimal 215 in (a) binary; (b) octal; (c) hexadecimal; (d) binary-coded decimal (BCD). 4. Show the following operations using 2s complement: a. 10000111 – 1011001 b. 1011001 – 10000111 c. 0.1001 – 0.0101 d. 0.0101 – 0.1001
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Unformatted text preview: 5. Determine by means of a truth table the validity of DeMorgan’s theorem for three variables: (ABC)’ = A’ + B’ + C’. 6. Simplify the following expressions using Boolean algebra. a. AB + A(CD + CD’) b. (BC’ + A’D) (AB’ + CD’) 7. Given the Boolean expression F = x’y + xyz’: a. Derive an algebraic expression for the complement F’. b. Show that F · F’ = 0. 8. Prove that a 3 input NAND gate is not the same as a simple cascade of two, 2-input NAND gates. Hint: question 4 can help. 9. All the * questions in Chapter 1....
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