1- Given R0, RI, R2, and R3 followed by the indicated base; i- Convert each value into its corresponding 9 bit binary value, the most significant bit is used as the sign bit, separate the sign bit with a comma, for example; 0,10100000 (RO)8 = 165 (RO)2= Use the 9 least significant bits, discard the extra bits. (RI)16 - FSF (RI)2- (R2)16 = F81 (R2)2= (R3)7 152 (R3)2- (Separte the sign from the other bits with a comma, for example; 110011000 is written as; 1,10011000) ii- Evaluate; R4 - RO + RI. (consider negative numbers to be already given in 2's complement) bitk hbittbitir4bitbi2birlhio RO RI R4
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- ___________ occurs when the result of an arithmetic operation exceeds the number of bits available to store it.True/False In Floating Point Addition, the exponents of the two numbers being added need to be made equal before the mantissa fields can be added, as this ensures that the bit positional values are now alignedQuestion 11 Not yet answered P Flag question A computer system uses 8 bits to represent floating-point values. The 8 bits are organised as follows: The first bit is a sign bit (0 for positive, 1 for negative). The middle 3 bits are the exponent, which uses bias of 3. The last 4 bits are the significand, which is normalised in the same way as the significand is normalised in IEEE-754 formats. The format does not reserve any special values. The following arithmetic operation is performed on this system: 00011000 x 11000110 The result is then stored in the same 8-bit floating-point format. What is the relative error of the stored result comapred to the value of the result of the arithmetic operation? Answer s are rounded to 5 decimal places. O a. None of the other answers. O b. 0.03030% O c. 0.03125% O d. 0.97865% O e. 0%
- add x5, x5, x8Every binary digit must be either 0 or 1 or X. If it appears in multiple bits, then you must input multiple bits, e.g.: 0011xx11Control Signal: ValueAssume that a mad scientist designed a new floating point binary format. In his design, he assigned 1 bit for sign, 10 bits for Exponent, 18 bits for fractions. Sign (1bit) Exponent (10 bit) Fraction (18 bit) Now, assume that you want to store -0.076 into this format. Convert -0.076 into above binary floating point format. For fraction part only compute 7 places after the point. (e.g. 0.1001111) To receive full points in this question, show all the detail computation. Paragraph 三Y= AddQuesti on 1: This problem covers 4-bit binary multiplication. Fill in the table for the Product, Multiplier and Multiplicand for each step. You need to provide the DESCRIPTION of the step being performed (shift left, shift right, add, no add). The value of M (Multiplicand) is 1100, Q (Multiplier) is initially 0111. Product Multiplicand Multiplier Description Step 0000 0000 0000 1100 0111 Initial Values Step 0 Step 1 Step 2 Step 3 Step 4 Step 5 Step 6 Step 7 Step 8. Step 9 Step 10 Step 11 Step 12 Step 13 Step 14 Step 15
- 1. A CRC code uses the following generator: G = 0x225. Codewords have 8 data bits. (a) Write the binary representation of G. (b) Write the polynomial representation of G. (c) How many CRC bits are there in a codeword? (d) Calculate the corresponding codeword for the following information bits: 0010 0011. Please provide clear explanationVI. Floating point representation Consider a 12-bit variant of the IEEE floating point format as follows: • Sign bit 5-bit exponent with a bias of 15. • 6-bit significand All of the rules for IEEE 754 Standard apply. Fill in the numeric value represented by the following bit patterns. You must write your number in decimal form (e.g. 0.0146485375, -0.0146485375). Bit Pattern 010011101110 111011101011 100101001111 001010111010 Numerical Value1. In a binary coded decimal (BCD) system, 4 bits are used to represent a decimal digit from 0 to 9. For example, 3710 is written as 00110111BCD. (a) Write 28910 in BCD (b) Convert 100101010001BCD to decimal (c) Convert 01101001BCD to binary (d) Explain why BCD might be a useful way to represent numbers
- What is al and the carry flag after the following code executes? mov al, 11110100b sar al, 3 Fill in the blank for al with an 8 bit binary number including leading zeros if necessary. For example: 00101000 Note: no spaces and no 'b. Fill in the blank for the carry flag (cf) with a 0 or 1 with no 'b'. al = b CF =1- Write the different numbers in base 10 a. (FA) 16 b. (101.011) 2 2. Write the following number in base 2 a. (123.22) 10 3. Realize the following additions in a 8 bits system using the 2's complement representation a. S1 = -51 +27 b. S2-51 - 27 c. S351 - 27 4. Realize the following addition using BCD representation a. S = 833 + 573Find the sum of all the digits in your date of birth and then do the following:(a) Convert the sum into 32-bit binary.(b) Convert the sum into 32-bit, IEEE-754 single precision floating point format.For example, if your date of birth is 15-8-2001, then the sum of its digits would be 17. You shouldconvert it into 32-bit binary and single precision floating point formats.