Classes/csci218/Labs/Lab3/GarrettHaldrupB2D.txt
2024-09-09 15:21:47 -04:00

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1. Convert the following binary number to decimal. please show the conversion step.
For example: 0b1101 = 1 + 4 + 8 = 13
a. 0b1001
0b1001 = 8 + 1 = 9
b. 0b11000100
0b11000100 = 128 + 64 + 4 = 196
c. 0b100101
0b100101 = 32 + 4 + 1 = 37
d. 0b111010
0b111010 = 32 + 16 + 8 + 2 = 58
e. 0b1011
0b1011 = 8 + 2 + 1 = 11
2. How many possible integers can an unsigned 5 bits binary represent? What is the largest decimal number? How about 8 bits binary? n bits binary?
A 5 bit number can represent 32 unique numbers. The largest decimal number is 31. 8 bits can represent 256 unique numbers. n bits can represent 2^n unique numbers.