Fill in the following table to show how the given integers are represented, assuming that 16 bits are used to store values and the machine uses two’s complement notation. Integer Binary Hex 4-Byte Big Endian (Hex value as seen in memory) 4-Byte Little Endian (Hex value as seen in memory) 28 2216 −18675 −12 31456
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Fill in the following table to show how the given integers are represented, assuming that 16 bits are used to store values and the machine uses two’s complement notation.
Integer | Binary | Hex | 4-Byte Big Endian (Hex value as seen in memory) | 4-Byte Little Endian (Hex value as seen in memory) |
28 | ||||
2216 | ||||
−18675 | ||||
−12 | ||||
31456 |
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- A(n) __________ is an integer stored in double the normal number of bit positions.What is the largest binary number that can be expressed with:(a) 8 bits,(b) 10 bits,(c) 16 bits.In each case, write their decimal and hexadecimal equivalents.Given the following decimal numbers, convert the numbers to a 16-bit memory location in binary using two's complement. (show all details step by step) 165910 - 165910 954610 - 954610 Convert the following decimal numbers to binary using the two’s complement format, using 8 bits: 4810 -3910 -28410 010 Briefly explain why two’s complement is the best format for representing signed integers in a computer. 4. Convert the following decimal numbers to binary floating-point representation, using 4 bits for the fractional part: 68.510 125.4410 99.9910 give the answer of everything otherwise dont give. please
- Calculate the value of the following arithmetic expressions as if they were performed on a 6- bit computer that uses 2’s comp: a) 0b011001 − 0b000111 b) 0b100011 + 0b111010 c) 0x3B + 0x06 d) 0xFF − 0xAA Steps are required.Each of the following pairs of signed integers are stored in computer words (6 bits). Compute the sum as it is stored in a 6-bit computer word. Show the decimal equivalent of each operand and the sum. Indicate if there is overflow. a) 110101 + 001111What is the number of bits needed to represent the double of a number represented in 5 bits in the binary system? Please Show working out - in steps
- 1. Write down the mathematical notation for fixed point representationand floating representation and also explain each term. 2. Consider the following machine number in 64 bit and Precisely represent the above machine number in decimal digits. 0 10000000011 1011100100010000000000000000000000000000000000000000Please show the steps if the question and do not only write an answer without any steps. (4) The following two binary numbers are represented by IEEE 754 single floating point number. Calculate the summation for these two numbers using IEEE 754 single floating point format. Do not convert them to real numbers. (5’) 01000001110000000000000000000000+01000001001000000000000000000000Calculate (3.41700875 *10-3 + 6.34005625*10-3)* 1.25625* 102 by hand, assuming each of the values are stored in the 16-bit half precision format describedin in the textbook. Assume 1 guard, 1 round bit, and 1 sticky bit, and round to thenearest even. Show all the steps, and write your answer in both the 16-bit floating point format and in decimal.
- The advantage of the ____ code over pure binary numbers is that only one bit changes at a time whenits numbers increment or decrement.Consider a 32-bit hexadecimal number stored in memory as follows: Address Value 100 2A 101 C2 102 08 103 1B If the machine is little endian and the number is an IEEE single-precision floating-point value, determine the decimal equivalent of the number stored at address 100 (you may leave your answer in scientific notation form, as a number times a power of two).Computer Science Assume the following register contents: $t0 = 1111 1111 1111 1111 1111 1111 0011 1010 = 0xFFFFFF3A $t1 = 0010 0011 0100 0101 0110 0111 1000 1001 = 0x23456789 a. What are the decimal values of $t0 and $t1, respectively, if they are 32-bit two's complement signed numbers? b. For the register values shown above, what are $t2 binary and hexadecimal representations, respectively, for the following sequence of instructions? sll $t2, $t0, 4 or $t2, $t2, $t1 c. For the register values shown above, what are $t2 binary and hexadecimal representations, respectively, for the following sequence of instructions? sll $t2, $t0, 2 nor $t2, $t2, $t1 d. For the register values shown above, what are $t2 binary and hexadecimal representations, respectively, for the following sequence of instructions? srl $t2, $t0, 4 and $t2, $t2, $t1