The binary string 11b10010111110 is a floating-point number expressed using the 14-bit simple model given in your text. What is its decimal equivalent? Note: in the 14-bit simple model, the left-most bit is the sign, followed by 5 bits for the exponent, followed by 8 bits for the mantissa (There are no implied bits). The exponent is in Excess 15 notation.
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- Write a program to print out the binary equivalent of a positive integer value entered. [Reverse binary string is accepted as output. For example, the binary of 4561 is 1000111010001 but if the user outputs it in reverse, i.e., 1000101110001, it is accepted. Just mention that LSB is the left most bit](a) If I have an n-bit unsigned integer, is it correct to say that I can always represent it as an (n + 1)-bit signed integer? Discuss briefly, in your own words. (b) If I have an m-bit signed integer, and I know its value is negative, I can use the NEG operation; then, since its sign bit will now be 0, I should be able to represent the value as an (m − 1)-bit unsigned integer, simply by dropping the leading 0. Is this correct? Discuss briefly, in your own words.Question 5 a) Briefly explain the Nyquist theorem in the context of digital sampling. b) Using logic gates, design an active low chip select for the memory a 256 K memory device starting at address 38000016 in a 16 Megabyte memory space. c) Convert each of the following 8-bit signed magnitude binary numbers to decimal. i) 10110101(base 2) ii) 01000101(base 2) iii) 11101010(base 2) iv) 01011110(base 2)
- Find the decimal equivalent of the following binary numbers:a. (1010.0101011)2 =b. (10111.101)2 =Write MIPS program that asks the user to enter an unsigned number and read it. Then swap the bits at odd positions with those at even positions and display the resulting number. For example, if the user enters the number 9, which has a binary representation of 1001, then bit 0 is swapped with bit 1 and bit 2 is swapped with bit 3, resulting in the binary number 0110. Thus, the program should display 6. Please only MIPSFor the decimal number 2007, in the binary representation, suppose your bits are the input of a combinational circuit. Develop this circuit with at least 3 layers, so that the combination of bits across the circuit will result in logic level 1 as exit.
- Express the number 0000 0004 as an 8-bit binary number and find the complement to 2. Subtract this number from the number 0101 1011 by the method that complements it to 2.To convert the decimal number 30 to an 8-bit binary number, use the following representation methods: a) the inverse of its complement: b) Excess-M:?1. Floating Point Numbersa. Show the difference between IEEE 16, 32, 64, 128-bit floating-point numbers.b. Express the following numbers in hexadecimal IEEE 32-bit floating-pointformat. i. 320ii. -622. Design a circuit that implements function p below using AND, OR, and NOT gates.DO NOT change the form of the equation. ?(?0, ?1, ?2, ) = {?2(?0?1 + ?̅0?̅1)}. (?̅2 + ?̅1)4. Show how the unsigned serial multiplication method would compute M × Q where M = 10110and Q = 01101. M and Q are unsigned numbers. For each step, describe in words what is happening (shift left, shift right, add/subtract M or Q into product, set a bit, etc.), and showthe product (or partial product) for that step. (Note: Q is the multiplier and M is themultiplicand.)
- a) 13–9 b) –13 –13 Perform the above decimal arithmetic problems by first converting the numbers to binary, 2’s complement form (using a 7 bit word in every case). Then perform the 2’s compliment addition. Show the result in binary indicating as in the problem above whether each result is positive or negative or overflowed (by writing “positive”, “negative” or “overflow” next to the binary answer) and then follow with the decimal value of the result if there was no overflow.Design a Combinational circuit with a Decoder to accept 3-bit number and generate the output binary number equal to the Square of the input number.a) Derive the truth table.b) Find simplified output function in Product of Sum(POS).c) Draw the logic diagram in logisim Simulator.A,B,C are the decimal integers related to the four bits binary number 1100 taken in signed magnitude form, 1’s complement form, 2’s complement form representation, respectively. The six bits 2’s complement representation of (A+B+C) is….?