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- Scenario: In a biased N-bit binary number system with bias B, positive and negative numbers are represented as their value plus the bias B. For example, for 5-bit numbers with a bias of 15, the number 0 is represented as 01111, 1 as 10000, and so forth. Biased number systems are sometimes used in floating point mathematics. Consider a biased 8-bit binary number system with a bias of 12710 Question: What is the representation and value of the most positive number?A new floating point representation is proposed so that implicit normalization to the mantissa and biased exponent. The representation is similar to that of IEEE 754 format i.e., Bias = (2k - 1) because it is %3D used to represent + 0, t oo. Let 4 bit biased exponent and, 7-bit mantissa is placed in 12 bit register as shown below. E (4) Which of the following pattern denote the value 14.25?2. Design a parity checker circuit for a 4-bit data.
- 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 MANTISSADraw the block diagram for a common bus system for 16 registers of 32 bits each. The bus is constructed with multiplexers.Question 3: a) Design a circuit which will add a 4-bit binary number to a 5-bit binary number. Use five full adders. Assume negative numbers are represented in 2's complement. (Hint: How do you make a 4-bit binary number into a 5-bit binary number, without making a negative number positive or a positive number negative?) b) A half adder is a circuit that adds two bits to give a sum and a carry. Give the truth table for a half adder, and design the circuit using only two gates. Then design a circuit which will find the 2's complement of a 4-bit binary number. Use four half adders and any additional gates. (Hint: Recall that one way to find the 2's complement of a binary number is to complement all bits, and then add 1.)
- Calculus Design a circuit that generates even parity for a 4-bit input: a. Using a single multiplexer with least number of inputs (3 Marks). b. Using exclusive-OR gates onlyDraw the figure for memory segments with 8086 microprocessor software model. Explain the logical address structure used for each segment (Explain which registers are used in logical address presentation of each segment; segment address : offset address). Give an example solution to find the physical address in a segment from the logical address for 8086 microprocessor.A memory location has a logical address where the segment address is 2019h and the offset address is 0076h. Find the physical address of the memory location. please help me with those questions, those are from – Microprocessor and Interfacing, Electrical and electronics engineering.
- Q2) A) Express the decimal number (- 30 ) as an 8-bit number in 2's complement form, and verifying its decimal value. B) Design an Octal-to-Binary (8-to-3) Encoder, and then draw a block diagram for Octal-to- Binary Encoder.1. Assuming the full adder drives a load L=1.5, determine the critical path and its corresponding delay.2. Using this full adder to create an 8-bit ripple carry adder, what is the critical path delay of this 8-bit adder? (Assume unconnected ports are driving L=1.5 load)parity generator design, construct and test a circuit that generates an even parity bit ffrom four messages bits . use XOR gates. adding one more XOR gate, expand the circuit so that it generates an odd parity bit also.