2. Write the simplified Boolean expression for the following K-map. WX 00 01 11 YZ 10 00 1 0 0 01 11 10 0 0 0 X X 0 0 1 1 1 1 1 1
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- IH.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 1simplify the boolean function E0 = AD’+B’C’D’+B’CD+BCD’+A’BC’DExercises : Convert the following binary numbers to Hexadecimal numbers: (b) 1100111010002 (a)11001010010101112 (c) 101010. 101012 (d) 1111110001.011010012 0110111012 (e) 1011001110. Answers:
- What parity bit, P, should be added to the following data if the parity is EVEN? If the parity is ODD? a. 1111100 b. 1010110 c. 0001101Perform 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.DECODER 03 04 Os 06 07. 08. 09 GND 74LS42D The above figure is a 74LS42D decoder, we can implement a Boolean expression from above figure by: Which of the following? O Get the maxterms of Boolean expression, then each maxterms is combined using AND gates. O Get the mintermof Boolean expression and each minterm is combined using AND gates. O Get the maxterm of Boolean expression and each maxterm is combined using OR gates. O Get the minterms of Boolean expression, then each minterms is combined using
- 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=9. The initial value of AX is 01011100, what will be the value of AX after the instruction NOT AX? a.10100011 b. 10100110 c. 010100011 d. NOTC2. Create a State Table and write a Boolean equation for input D. B Clk D Clk Q'
- Convert the following binary numbers to hexadecimal without using a calculator (show work where nibbles are identified). a. 1110.0101 b. 1010010.01001 c. 1100.010001 d. 1000.11001010111Simplify the following Boolean expressions using Karnaugh Map and draw the logic circuits. f = wxyz + wxyz + wxyż + wxỹz + wxyz + wxyz + wxỹz + wãyzPerform the following operations involving 8-bit 2's complement numbers and indicate whether arithmetic overflow occurs. Check your answers by converting to decimal sign- and-magnitude representation. (a) (d) 01110000 (b) 01111111 (c) +01011101 +11111110 01000000 - 00101111 (e) 01000101 - 11010000 (f) 11000111 +10111011 11110011 -11001100