K-MAP THE FOLLOWING. SIMPLIFY THE LOGIC EQUATION FOR Z, IF POSSIBLE. THEN SIMPLIFY THE LOGIC EQUATION FOR Z NOT WRITE THE EQUATIONS IN THE BLANKS PROVIDED. SHOW K-MAPS AND GROUPS. PORS IZ 0000 1 0001 X 00100 0011 1 0100X 0101X 0 110 0 01111 1 000 1 1001 1010 X 1011 0 11000 11010 1110X |||||||
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- Consider the multiplexer based logic circuit shown in the figure MUX MUX 1 Select one: a. W S1' S2' O b. W + S2 + S1 c. WS1 + WS2 + S1 S2 O d. WeS1es2Logic Design courses / EE200SP21 / General / Mid Term Examination Part II (Subjecti Compute the minimal products of sum and minimal sum of products expressions for following KMAP. Show your groupings on KMAP АВ CD 1 1 1 1 0. Instructions: You have to solve the answer by hand on paper, scan/take photo and upload it as a single file. Local Disk (D:) Mid Term Examinat.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=
- 23. The binary number 101110101111010 can be written in octal as a. 515628 b. 565778 c. 656278 d. 565728Simplify the following Boolean expressions using Karnaugh Map and draw the logic circuits. f = wxyz + wxyz + wxyż + wxỹz + wxyz + wxyz + wxỹz + wãyzUSE DIGITAL LOGIC AND DESIGN Part 1: In Figure_4; we have 4-bit Comparator using 2-bit Comparators block. You have to satisfy given condition by applying all data on figure 4. At the end, given condition should produce HIGH output and other two should be LOW. A3 A2 A1 A0 = 1101 and B3 B2 B1 B0 = 1110 Figure_4 Part 2: The serial data-input waveform (Data in) and data-select inputs (S0 and S1) are shown in Figure_5. Determine the data-output waveforms from D0 through D3. Figure_5 Part 3: Decoder can be useful when we have to decode some specific numbers from their equivalent code. Figure 6 has a concept of 3 to 8 line decoder from which you have to generate output waveform from D0 to D7 with proper relationship to input. Figure_6 Part 4: The data-input and…
- (a) A logic circuit shown in Figure Q.3 has a 4-bit input A and B, three 4-bit wide 2:1 muxes, a 4-bit adder, a 4-bit output F, and a carry flag C. For the given Table Q.3, fill in the value of output F and carry flag C for the given value of A, B, S0, S1 and S2. 51 52 1001 Flag C 0011 Figure Q.3 Table Q.3 A So S1 S2 F Flag C 0001 1000 0010 1001 1 1 0011 1101 0100 1101 1110 0111 1A circuit for adding two 3-bit 2's complement numbers (X2X1Xo and Y2Y1Y0) that uses Full Adder (FA) components is shown below. Write the full logic expression to detect overflow. Cout C3 X₂X₁ Xo FA Cir Cout C₂ Cout FA C S Z₂ Z₁ (Y₂) (Y₁ Yo Zo C₁ Cout FA CinDesign circuit that has an input w and an output z. The circuit is a sequence detector that produces z = 1 when the previous two values of w were 00 or 11; otherwise z = 0. Use W=0101100010101110101011100010 a) For this problem design the circuit using JK flipflops, draw the state diagram, true table, logic circuit.
- Perform 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.Perform floating point binary addition to the following: A: 1 10000011 10110111010000000000000 B: 0 10000000 10010011000100101000000 The result of A+B must be in be in 32-bit floating point. You can also check the answer in decimal.Use the following state diagram and create the state table for a synchronous to detect the sequence. The circuit has a single input, x, and a single output z. The output is logic-1 whenever the input sequence 1001 is detected, logic-0 otherwise. Note that overlapping sequences are allowed, Create the initial state table, and the complete state table. Write the equations for all the state variables and the output z. 1 so S1 S2 S3 Z=0 Z=1 State diagram of 1001 sequence recognizer