2: How many Bits (binary) does it take to represent these numbers Example question: how many bits does it take to represent the base 10 number 243 in Base 2): if you have 8 bits (20 to 27you count 2 as the first bit Answer: 8 bits Explanation: 20to 2represents the number 0-255 (128+64+32+16-8+4+2+1)-255 It takes S bits to represent numbers up to 255: 20 is counted as the first bit SBITS 0-255 OR (28-1) 9 28 27 26 25 24 2322 21 221 2223 24 Power of 2 Calculation Value 5 0.25 0.125 0.0625 21 12256128 64 32 16 8 4 2 1 10 BITS =(0-1023) 512+256_128-64+32+16+8+4+2+1) 23 2 2 2 24 25 2 2 2 2 2 32 64 2 2 2 2 2 "2 2 128 26 2 2 2 2 2 2 Example: Question how many bits to represent number Base 10 1500more than 1024 but less than 2048) (21. to20)-(1024 5 12+256-128+64+32+1 6-8+4+2+1)=2047 max number (or 21.1) 1 BI How many bits does it take to represent these 2-a) S1K_(K refers to kilo or a thousand) 2-b)203M bits (M is Mega or a Million) 2-c) 151G (G is Giga or Billion) ?(SHOW work as illustrated in Example)