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.
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- Q1. Convert following numbers in given radix system: a. (697)10 into Octal and Hexa decimal b. (2D9)16 into Decimal and Octal Q2. Using two's complement representation, solve: a. 101110001 – 1111111001 b. 1010101010 – 1010010101 Q3. Perform following arithmetic operations: a. (6767)10 + (3592)10 using BCD b. (C7C)16 - (B0E)16 using 16's complement Q4. A code 1011011 needs to be sent to the receiver. Using, hamming code find out the code- word and the mechanism to check the corrected data when error occurred at 4th bit. (Assumptions: Right to Left with Odd Parity) Q5. (a) Convert the following logic gate circuit into a Boolean expression, writing Boolean sub-expressions next to each gate output in the diagram: A (b) Realise Ex-OR gate using universal gate? Q6. Implement and simplify f (A, B, C, D) = E(1,3,5,8,9,11,13,15) using K-map?a. (697)10 into Octal and Hexa decimal b. (2D9)16 into Decimal and OctalQuestion1: Read the following table, and design a logic circuit that can convert the binary code from 2421 to Excess-3. Four Different Binary Codes for the Decimal Digits Decimal ВCD 8421 Digit 2421 Excess-3 8, 4, –2, –1 0000 0000 0011 0000 1 0001 0001 0100 0111 0010 0010 0101 0110 3 0011 0011 0110 0101 4 0100 0100 0111 0100 5 0101 1011 1000 1011 0110 1100 1001 1010 7 0111 1101 1010 1001 8 1000 1110 1011 1000 1001 1111 1100 1111 1010 0101 0000 0001 Unused 1011 0110 0001 0010 bit 1100 0111 0010 0011 combi- 1101 1000 1101 1100 nations 1110 1001 1110 1101 1111 1010 1111 1110
- Exercise 2: Convert the given binary and hexadecimal numbers into decimal numbers Please solve this i. 0011 0010 ii. 01101101 iii. 01010101 iv. B516 v. F316 vi. 2C16H.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 Lateefb) There are five binary or hexadecimal numbers and six decimal conversions. Draw a line to connect each binary/hexadecimal to decimal number. Binary/Hexadecimal Decimal 4E 78 11011010 157 10011101 167 A7 25 19 218
- Identify what type of Finite State Machine would be required to implement the given sequence: =01011100100010010010 00000000010000001001 Mealy FSM Moore FSM OShannon FSMAnalyze the logic function of the circuit A₁ B₁ CH D -S₁Logic circuit Design combinational logic circuit that takes 7 bit numbers and an input and output will be the reverse of this bits from right to left to the first one including one and remaining of the bits will be the same example input 0011000 output 0010111 Can you draw it’s logic circuit in detail not theory answer and if we can solve this question multiplexer
- 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…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 MANTISSA(c) Figure Q3(c)(i) shows a register and Figure Q3(c)(ii) shows the input waveforms (CLOCK and Data in) to the circuit. A1 A9 A10 A2 Function generator A3 A11 A12 AS A13 A6 A14 A7 A15 Data in Bop.7) ip.r 82p.7) Logic analyser U1 U2 U3 U4 UO 6. 1. 6 1 6 INVERTER 3 CLK 3 CLK oCLK CLK 5 K K 5 K K 4027 Clock Function generator Figure Q3(c)(i) (i) Determine the type of register as shown in Figure Q3(c)(i).