i) ii) iii) What is the range of a 32-bit unsigned integer? What is the range of a 32-bit signed integer? What is the binary representation of whole number 1,234 as a 12-bit unsigned integer? What is the binary representation of whole number 1,234 as a 12-bit signed integer? What is the binary representation of whole number -1,234 as a 12-bit signed integer? iv) v)
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- What is the largest binary number that can be expressed with 16 bits? What are the equivalent decimal and hexadecimal numbers?(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)
- 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 MIPSS Display will be designed for a thermometer. The display will show that degree for minimum temperature and 99 degrees for maximum temperature. According to this; a) What is the number of bits that will be needed in the binary code to express the temperature? b) What are the binary, octal and hexadecimal equivalents of 95 degrees? () What is the BCD representation of 95 degrees? d) What is the hex equivalent of this temperature when it shows 111 degrees octal? e) If the thermometer showed a temperature between -99 and +99 degrees, how many bits would we need?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….?
- What is the decimal number equivalent of the largest binary number that can be obtained with 9 bits? a. 512 b. 511 c. 1024 d. 1023Is it possible to convert 16-bit binary data to 8-bit binary data such as: 1111111011111110 -> this 16 bit to 8 bit? If possible then do it and mention the converted binary number.Consider two microprocessors having 8-bit and 16-bit wide external data buses, respectfully. The two processors are identical otherwise and their bus cycles are the same speed. Suppose all instructions and operands are two Bytes. By what factor do the maximum data transfer rates vary? Suppose all instructions and operands are one Byte. By what factor do the maximum data transfer rates vary? Discuss your answers.
- a) How many numbers can be represented in a 12 bit signed integer register? b) What is the range of values represented, using the 2's complement representation?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]Convert decimal number 54.3125 to fixed point binary notation. How many bits are needed? Suppose there are only 8 bits available. What is the numerical error?