Assume we number positions in the Gray Code G„ from 0 to 2"- 1. What is the bit string of in position 20 in the Gray code for the 6- cube? Where will you find 000101 in G6? In what position in G10 will you find 0010010000?
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- Find the bitwise OR, bitwise AND, and bitwise XOR of each of these pairs of bit strings:a) 11 1111 1111, 00 0000 0000b) 1111 0000, 1010 1010c) 00 0111 0001, 10 0100 1000How many bit strings of length 10 a) begin with 101? b) have weight 3 and begin with 101? c) have weight 5 and begin with 101?if a coin is a classical bit of information (heads = 1 and tails = 0), how is the number 2represented in standard 8-bit notation using coins? (Hint: Find the 8-bit representation of thenumber 2, then convert to H’s and T’s.)
- Separate the bit sequence into appropriate sized chuncks for each of the following domains. (You do NOT have to decode this bit sequence.) 1. Octal String: 010 110 101 010 101 111 010 111 111 101 011 011 011 011 010 1001. Hex String:1. Base64 String:(a) How many bit strings of length 13 either starts with three consecutive 1s or end with 2 consecutive 0s? (b) How many bit strings of nine lowercase letters start with a vowel, if letters cannot be repeated?A bit string contains 1's and 0's. How many different bit strings can be constructed given the restriction(s)? Length is 20. Has exactly six 1's in the first half. Has exactly three 1's in the second half.
- How many bit strings of length eight either start with a 1 bit or end with the two bits 00?How many bit strings contain exactly five 0’s and ten 1’s if every 0 must be immediately followed by a 1?Convert 0100111011011110 16 bit real number to decimal? (Sign:1-bit Exp:5-bit Mant:10-bit excess-15)(Answer as mixed, reduced numeral with a single space seperating the whole number and the fraction. Ex. 14 1/4)
- If the bit pattern 0xffff_ffff_ffff_ffff_ffff_ffff_ffff_ffbd is used for a 128-bit two's complement integer, what number does it represent? show your answer in base ten.Which of the following bit patterns (in hexadecimal notation) represents a positive number in two’s complement notation?Find the complement of the following bit string: 100011010 (write down the sequence of 0's and 1's without any blank space). hints:answer is 9 bit