Given A = 40 and B = 60 in base 10. convert A and B to binary using 7 digits find – B in binary using 2's complement Find S = A + (-B)in binary, Convert the result using 2' scomplement method to find the S in decimal representation. (you should get – 20).
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- H.W :- 1) A four logic-signal A,B,C,D are being used to represent a 4-bit binary number with A as the LSB and D as the MSB. The binary inputs are fed to a logic circuit that produces a logic 1 (HIGH) output only when the binary number is greater than 01102-610. Design this circuit. 2) repeat problem 1 for the output will be 0 (LOW) when the binary input is less than 01112-710- Saleem LateefDesign a combinational circuit with the four inputs A,B.C, and D, and three outputs X, Y, and Z. When the binary input is odd number, the binary output is one lesser than the input. When the binary input is even number the binary output is one greate than the input. Implement the function using multiplexers with minimal input and select line.USE 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…
- Design a code converter that converts a decimal digit from BCD to excess-3 code, the input variables are organized as (A BC D) respectively with A is the MSB, the output variables are organized as (W XY Z) respectively with W is the MSB, put the invalid decimal numbers as don't care. X= BCD'+B'D+B'C X= BC'D'+B'D+BC X= BC'D'+B'D+B'C X= BC'D'+BD+B'CDesign a code converter that converts a decimal digit from BCD to excess-3 code, the input variables are organized as (A BC D) respectively with A is the MSB, the output variables are organized as (W X Y Z) respectively with W is the MSB, put the invalid decimal numbers as don't care. X= BCD'+B'D+B'C X= BC'D'+B'D+BC X= BC'D'+B'D+B'C X= BC'D'+BD+B'CHow to build this circuit? (on Digital or Logisim) Binary-coded decimal is an alternative method of representing integers using binary. In it, each base-10 digit is represented by four bits, thus each nibble takes one of 10 values (0000 through 1001). Therefore, using BCD, 42 (decimal) is represented as 0100 0010 (binary) and 196 (decimal) is represented as 0001 1001 0110 (binary). Create a circuit in Logisim that accepts as input a pair of two-digit integers represented as BCD and outputs their sum in BCD. Any and all Digital components are fair game. You can assume that all inputs will be valid BCD-encoded numbers.
- Design the interfacing circuit shown below and write a program to display single digit (between 0 and 9) prime numbers followed by even numbers, the next odd numbers and repeats in 7-segment displays and its equivalent 8-bit binary value in LEDS. a) When displaying Prime numbers, the first 7-segment display must show "P" and the second 7-segment display must show prime numbers one by one b) When displaying Even numbers, the first 7-segment display must show "E" and the second 7-segment display must show even numbers one by one c) When displaying Odd numbers, the first 7-segment display must show "O" and the second 7-segment display must show even numbers one by oneQ2: Answer three of the following branches: 1. Add (01110101)2 with (00110011)2 in Decimal, Binary Octal and Hexadecimal. 2. Find (5.5)10) ^3 in binary multiplication. 3. Divide (30.25)10 by (5.5)10 in binary division. 4. Subtract (00110011): from (01110101): using Normal, I's complement and 2' complement subtraction.Q2 (a) Assuming that decimal numbers can be represented using 8-bits binary, express the decimal number -108 using binary number system as shown in Table Q2(a). Show the steps accordingly. Table Q2(a) Decimal : -108 Sign-number l's complement 2'nd complement
- 20. Suppose we have just found yet another representation for floating point numbers. Using this representation, a li2-bit floating point number has 1 bit for the sign of the number, 4 bits for the exponent and 7 bits for the mantissa, which is normalized as in the Simple Model so that the first digit to the right of the radix points must be a 1. Numbers in the exponent are in signed 2's complement representation. No bias is used and there are no implied bits. Show the representation for the smallest positive number this machine can represent using the following format (simply fill in the squares provided). What decimal number does this equate to? : SIGN EXPONENT MANTISSAThe value of (Binary 1011) + (Octal 15) is -- in Octal form. *Draw logic diagram for half adder and full adder circuit using Logisim Software