6. Write the simplified Boolean expression for function F in the circuit below 1(Vcc) 4x1 Mux lo Do 1 12 13 $1 So A B F
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- simplify the boolean function E0 = AD’+B’C’D’+B’CD+BCD’+A’BC’D8. Consider the table below. A, B, C represent logic-variable input signals. F is an output. ABCF 000 0 0 01 0 0101 0110 1000 1011 1100 111 11 a) Using the product-of-sums approach, write a Boolean expression for F b) Repeat using sum-of-products.Computer architecture 1. Perform the following calculations. All numbers are 8-bit Integers; except where noted. Show all work. Note any overflow. Note that 2c signifies 2s complement and sm signifies signed-magnitude. I suggest you check your answers in base 10. 11110110 - 100101112c= 11110110 & 00001111= Convert -1610sm to Base 16 Convert AD16c to Base 10 F9 + E916c=
- c) Write output expression for X and apply De Morgan's Theorem to Boolean expression in the Figure Q1(c) below A C D Figure Q1(c)23. The binary number 101110101111010 can be written in octal as a. 515628 b. 565778 c. 656278 d. 565728IH.W: Draw a logic eircuit of the following Boolean expression before and after simplification using karnough map and Boolean expression. Y-AB+ AB A B Y 1 1
- 2. Create a State Table and write a Boolean equation for input D. B Clk D Clk Q'Exercises : Convert the following binary numbers to Hexadecimal numbers: (b) 1100111010002 (a)11001010010101112 (c) 101010. 101012 (d) 1111110001.011010012 0110111012 (e) 1011001110. Answers:Create a logic diagram out of this boolean expression. CD+BD+BC+AD+AC+AB Note: All inputs A B C and D must be together.
- Simplify the following Boolean expressions using Karnaugh Map and draw the logic circuits. f = wxyz + wxyz + wxyż + wxỹz + wxyz + wxyz + wxỹz + wãyzPerform the addition of the following 8-bit 2's complement numbers using 2's complement arithmetic. (Reminder: 2's complement numbers are signed numbers.) a) 11001001 + 00110011 b) 10011011 + 01101111 c) 01011010 + 10110110 d) 11001000 + 11100101 Convert each result from the previous problem to signed decimal. Draw the block diagram of the circuit required to implement the operation in Problem 3.Direction: Analyze the given circuit and find the following: Logic Expression Simplified Logic Expression using Boolean Algebra Simplified Circuit