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- Number Systems and Binary Arithmetic 1. Perform the indicated operations. (Note: PEMDAS applies!) {[(11101 + 10111) - 100100 ] x 100 } / 10003. Fractional Values Complete the following table. The first row is filled in to show the kind of values expect ed. For simplicity, the bits of the floating point numbers are shown in 3 groups - sign, exponent and significand. For the 8 bit floating point assume 1 bit for the sign bit, 4 for the exponent, and 3 bits for the significand. The bias is 7 for this type. Decimal Binary Fixed Point 8 bit floating point 0.25 0.01 0 0101 000 0.125 1.101 0 1101 1007. Fill in the memory map with the hexadecimal byte values that are defined by the following. The first byte is given. ASCII table is given on last page. db 25, 50, 75, XYZ' dw 500, 1000, -1500 numbers list numbers 19
- MCQS the following? 1) .The number of bytes required to store single precision floating point numbers is a) 2 b) 4 c) 8 d) 16 2) The number of bytes required to store the variable "a", where a = [4 , 6 , -8, 13], would be a) 4 b) 8 c) 16 d) 32 e) 641) IEEE 754 Floating Point Standard: This standard is used to represent floating-point numbers (real numbers) digitally in computer memory. The standard provides two representations which have different accuracies: double precision and single precision. > Double Precision – 8bytes = 64 bits o Bit 63 (one bit): Sign (0=positive, 1=negative) o Bits 62 to 52 (11 bits): Exponent, biased by 1023 o Bits 51 to 0 (52 bits): Fraction f of the number 1.f Single Precision – 4bytes = 32 bits o Bit 31 (one bit): Sign (0-positive, 1=negative) o Bits 30 to 23 (8 bits): Exponent, biased by 127 o Bits 22 to 0 (23 bits): Fraction f of the number 1.f Procedure to Find the Double-Precision Representation of a Number x: Let the representation be (b63, b62, ..., b, b,, bo) with b63 being the most-significant bit and bo being the least significant bit. Sign Bit: (0, x20 l1, x1 { set new bit as 1 y + y-1 else set new bit as 0 EE 426 Homework 2 Spring 2020/2021 a) Find the double-precision representation of…D&cmid%3D11597 Update E This course EHide blocks Select the correct answer that corresponds to the decimal value of the following number in fixed-point representation: 111.0001 Select one: O a. 7.00625 O b. 7.25 O c. 6.0625 O d. 7.625 O e. 7.0625 A SIGNAL y is declared of STD LOGIC_VECTOR type of 4 bits, if you want to assign 1001 to y, then what is the write assignment statement? Select one: O a. y <= "1001" b. y = "1001" Oc.y= "1001" Od. None of the options
- Assignment for Computer Architecture! this is about hamming codes write the code IN MIPS ASSEMBLY LANGUAGE calculating hamming codes; The key to the Hamming Code is the use of extra parity bits to allow the identification of a single error. Create the code word as follows: Mark all bit positions that are powers of two as parity bits. (positions 1, 2, 4, 8, 16, 32, 64, etc.) All other bit positions are for the data to be encoded. (positions 3, 5, 6, 7, 9, 10, 11, 12, 13, 14, 15, 17, etc.) Each parity bit calculates the parity for some of the bits in the code word. The position of the parity bit determines the sequence of bits that it alternately checks and skips.Position 1: check 1 bit, skip 1 bit, check 1 bit, skip 1 bit, etc. (1,3,5,7,9,11,13,15,...)Position 2: check 2 bits, skip 2 bits, check 2 bits, skip 2 bits, etc. (2,3,6,7,10,11,14,15,...)Position 4: check 4 bits, skip 4 bits, check 4 bits, skip 4 bits, etc. (4,5,6,7,12,13,14,15,20,21,22,23,...)Position 8: check 8 bits,…5) Determine the 32-bit binary representation for floating point numbers in the form +1. F x be Where, i is the integer part, F is the fraction, b is the base, and e is the exponent. Using this format, represent the number 0.00001011001100101 as a 32 bit floating point number.10. Fill in the following addition table for base 3.+ 0 1 201211. Identify the following statements as TRUE OR FALSE. a) BCD stands for Binary Coded Decimal and encodes each digit of a decimal number to an 8-bit binary form. b) Unicode is a 16-bit code, occupying twice the disk space for text as ASCII or EBCDIC would require. c) A signed-magnitude integer representation includes more negative numbers than it does positive ones. d) A byte is 8 bits, but a word may vary in size (16-bits, 32-bits, etc.) from one architecture to another. e)The largest value that a 60-bit unsigned binary integer can represent is (260-1). f) A 2's complement integer representation includes more negative numbers than it does positive ones.
- and s) At least how many bits are needed to represent the decimal number 3,175,000 in binary? How many bytes will it take to store this number? Note that 1 byte includes 8 bits.9. Show how the text ‘HelloW’ will be stored in computer using 7-bit ASCII standard. You will need to consult the ASCII table. 10. Fill in the following addition table for base 3.Taking as a reference the memory representation attached, determine the floating point number stored in it.