CS 2204 Self-Quiz Unit 3

Question 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%

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 aligned

6-In the representation Complement to 1, we the number when Code the absolute value thus is negative: A = True B- False 7- The result in base 10' A - 44.25 B-42015 C- 51. 13 45. 75 8- The result AT 40. B + 61 q of the transformation (101001.10) 2 usi o the transformation (52) a in bose 10 is: C² 42 D-41 WWW 30 O

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: Value

1. 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

You are hired to decrypt a message that has the following binary sequence: 0100 0101 0100 1100 0100 0011 0110 1111 0110 0100 0110 1001 0100 0111  0110 1111 0100 0101 0101 0011 0011 0011 0011 0111 0011 0101 0011 0001   0011 0110 0011 0010  The message must be displayed on a 7-segment display, it is only known that the encoding is in ASCII. 1.Approach, encoding of the message and truth table. 2.Functional electronic circuit to display the message.

24. Refer to Table 6–2. Determine the string of ASCII codes for the following message including the spaces: CAUTION! High Voltage. 25. Refer to Table 6-2. Decode the following ASCII coded message: 1001000 1100101 1101100 1101100 1101111 0101110 0100000 1001000 1101111 1110111 0100000 1100001 1110010 1100101 0100000 1111001 1101111 1110101 0111111

Instructions Number Representations Indicate the sign (-) of the number only when negative. For signed-no. representation, use a minimum number of bits to represent the number (8 or 16) For 32-bit no. representation, use 0...0 for additional zeroes DON’T use space for all your answers Use caret ( ^ ) for exponent DON’T use comma ( , ) in any case Given the decimal number below, provide the following:-94.827Conversion to binary             _____________        The normal form equivalent      ____________ 32-bit number representation   _____________

For 10 bits floating point representation using: seeeefffff, what is the bias for denormalized numbers?     A.  7   B.  6   C.  4   D. 3   E. 2 What is the range of integers that can be represented using 8 bits 2's complement?     A. -127  to 127   B.  -128 to 127   C.  -127 to 128   D. 0 to 255   E. 0 to 256

10-1010 Express the following bit patterns in hexadecimal notation: Question 5 10100000101%3D 110001111011= 000010111110 001101010011 To submit your assignment: Please answer the question on the Lab Document and submit your file throug

Please note this says grey encoding.

Round the following binary numbers (rounding position is bolded – it is the bit at the 2-4 position) following the rounding rules of the IEEE floating point representation. I. 1.00111112 II. 1.10010012 III. 1.01111002 IV. 1.01101002 For each of the four (4) resulting rounded binary numbers, indicate - what type of rounding you performed and - compute the value that is either added to or subtracted from the initial binary number (listed above) as a result of the rounding process. In other words, compute the error introduced by the rounding (approximation) process. please note that the rounding is based on the bolded numbers!!! Not the 2s in the end those are just binary signs

3. 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 100

An error correcting code has the following code words: 00000000, 00001111, 01010101, 10101010, 11110000. What is the maximum number of bit errors that can be corrected ?

EV: V7: VS: MY: E5: 30: A4D: AD9: A34: R08: Provide the description of the following error codes, and explain how you would reconcile them:

The hamming code for the data " 10101010" will be Note : the first bit is the right most bit O a. 0101 on O b. 0100 O c. 0110 O d. 1100 O e. Non of the choices

True/False 1. The octal number system is a weighted system with eight digits.2. The binary number system is a weighted system with two digits.3. MSB stands for most significant bit.4. In hexadecimal, 9 + 1 = 10.5. The 1’s complement of the binary number 1010 is 0101.6. The 2’s complement of the binary number 1111 is 0000.7. The right-most bit in a signed binary number is the sign bit.8. The hexadecimal number system has 16 characters, six of which are alphabetic characters.9. BCD stands for binary coded decimal.10. An error in a given code can be detected by verifying the parity bit.11. CRC stands for cyclic redundancy check.12. The modulo-2 sum of 11 and 10 is 100.

Represent -0.65tenin single and double-precision formats: Final representation: (-1)Sx (1 + Fraction) x 2(Exponent –Bias) Single: (1 + 8 + 23) Double: (1 + 11 + 52 )What decimal number is represented by the single-precision number? 1 1000 0001 11000...0000

Encode (800) 555-0012 in ASCII, including punctuation.                 5.Translate the following hexadecimal into binary and then into ASCII: 68 65 78 61 64 65 63 69 6D 61 6C   You have discovered the following string of binary ASCII code; figure out what they mean: 01010111 01100001 01111001 00100000 01110100 01101111 00100000 01100111 01101111 00100001

value_a = 179 value_b = 215 sum = value a + value b = (enter answer in decimal) value_c = 137 value d = 183 sum = value_c + value_d =| (enter answer in decimal) In this exercise, the following two16-bit positive integers are to be added: value_a = 46861 value_b = 51071 If only 16 bits are available to represent the answer, then the result will be, sum = value_a + value_b (enter answer in decimal) You have designed a number system which uses 19-bit positive integers In your system what is the result of, value a = 393710 value_b = 394509 sum = value_a + value_b (enter answer in decimal)

1- If the information bits are unchanged in their values, the code can be supposed: Systematic and Nonsystematic codes in the same time O Nonsystematic codes O systematic codes O Could not be decide

Number representation and overflow] Consider the following 8 bit binary number numbers below: A = 11010111 B = 10011101 a. What is the value of A in decimal if we interpreted A as an unsigned number? b. What is the value of B in decimal if we interpreted B as a two's complement number? c. In two's complement representations for both A and B: i. What is the value of (A + B)? Indicate if there is an overflow? ii. What is the value of (B - A)? Indicate if there is an overflow?

What bit string is stored in memory for the following 8 character string when using ASCII representation? (Use 8 bit cells):   822-7003

2. Convert the IEEE 754 single precision binary representation to a decimal number 1001 1001 1011 0000 0000 0000 0000 0000 Note: make sure that in final answer the fraction is in base 10 (at most 3 digits). You don't need to change the power of 2 in a power of 10.

Using the signed-1's complement format, the representation of -7 is_ 1000 0111 1111 1001 This is a standard binary code for the alphanumeric characters that uses seven bits to code 128 characters Hollerith Code ASCII Code EBCDIC Code Gray Code This is defined as a single variable within a term, in complemented or uncomplemented form. coefficient of variable unary variable literal constant

TMin - 1 (write in decimal representation): -TMin: -TMax: TMAX> A

inal Exam, Computer Organization 110408240, Sep 1 2021 Consider the following binary number that is represented using a floating-point format with (1 bit) for the sign, (8 bits) for the biased exponent and (8 bits) for the magnitude, and answer the following 1 10000110 10101001 1- What is the bias value? 2-What is the exponent value? AGE NEXT PAC

In CRC, bits in divisor are the CRC Redundant bits Select one: O a. More than O b. Equal to c. Less than O d. None

Manchester encoding guarantees frequent clock synchronization by changing signal values. What is the maximum number of bits which may be encoded without a signal change? (Note: The way this question has been asked. you are not to include the bit which includes a signal change in your count)

Define conversion time.

1. What is the binary representation of the largest positive integer that can be represented with 19 bits     2. What is the LARGEST base ten number that can be represented with 1 BYTE in Binary

Select the correct statement(s) regarding the difference between analog and digital signals. a. analog signals are used more extensively in modern computer systems compared to digital signals b. digital signals are represented by logical and discrete values (i.e., “0” and “1”) and therefore logical bits must be grouped together to represent symbols c. digital signals are more accurate than analog signals; this is why digital music sounds much better d. analog networks easily fit into the OSI Reference Model