Let C={000000, 101110, 001010, 110111, 100100, 011001, 111101, 010011} be a binary code of length 6. (a) What is the minimum distance of C? (b) How many errors will C detect? (c) How many errors will C correct?
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- Consider the binary code C= {00100,10101,11110,01011}. What is d(C)What is the smallest 32-bit floating point number f such that 128 + f > 128 ? What is the smallest 32-bit floating point number g such that 1 + g > 1 ? What is the relationship between f and g?Consider a 16-bit binary floating point number representation system: + | SE E E E E E m m т m m m m m m The first bit of the exponent is dedicated to its sign. Assume that the mantissa must start with a '1'. Use this system to answer the following question What is the smallest (magnitude) number that can be represented with this system?
- 3. Implement a 32-bit subtraction of two numbers X and Y that are stored in memory as: X = (DS: 503H) MS byte of MS word (DS: 0502H) (DS: 0501H) (DS: 0500H) LS byte of MS byte of LS byte of MS word LS word LS word Y = (DS:0507H) (DS: 0506H) (DS: 0505H) (DS: 0504H) The result of X - Y is to be saved in the place where X is stored in memory.Let a “binary code” be the set of all binary words, each consisting of 6 bits (i.e., 0 or 1 digits). For example, 001101 is a word in this code.-)Consider the code C = {000000, 000011, 001100, 001111, 110000, 110011, 111100, 111111} of n-bit binary strings. Select all that are true: answers; |C| = 8 Δ(000000, 111111) = 6 n = 3 minimum distance is 2 can detect 2 errors can correct 1 error
- (i) 325.525 10 = _ 2 101000101.100001100112 O b. 101000101.1111100112 O. 101110101.100001100112Fill in the empty spaces in the following table. As you do, please be aware of the following: • All numbers are considered signed (negative) for this table • All binary answers must have 16 bits • You need to put a space after every 4 bits for binary values. All hex values must use capital letters Signed Decimal 16-bit Binary Нех |-12 -20 1111 1111 1110 1100| FFEC 65495 1111 1111 1101 FFD7x³ is O(x4) and x4 is O(x³) O True O False
- 15. Add the binary numbers: (b) 10 + 10 (c) 101 + 11 (d) 111 + 110 (e) 1001 + 101 (f) 1101 + 1011 16. Use direct subtraction on the following binary numbers: (a) 11 – 1 (b) 101 – 100 (c) 110 – 101 - - (d) 1110 – 11 (e) 1100 – 1001 (f) 11010 – 10111In a 64-bit long floating point Machine number representing equivalent to decimal, consider the number is negative, c =1034 and 1 . the 22 23 24 26 Machine number representation is O 110000001010 011101000000000000000000000000000 1 10000001010 01110100000000000000000000000000( 1 10000001010 01110100000000000000000000000000 O noneSuppose there are less than 1,000,000,000,000,000,000,000 (or 10) stars in the universe. If you have to store that number (Any integer or round number less than 10) exactly in a floating-point number (Stored in binary), minimum how many bits must be in mantissa and exponent?