Since digital circuits use only 0\'s and 1\'s to symbolically represent the low
ID: 1538284 • Letter: S
Question
Since digital circuits use only 0's and 1's to symbolically represent the low and high voltage states, respectively, it is convenient to use the binary numbers system, or a base of 2 system. The following table shows the first several decimal (base 10) numbers and their base 2 equivalents. Commonly, binary digits, or bits, are combined into groups of four, called bytes. The rightmost bit is the "least significant bit, " or "lsb." The leftmost bit is the "most significant bit, " or "msb." Since it represents the greatest numerical value in the byte. The key to understanding binary numbers and bytes is to understand powers of two. The lab represents 2^0 and the msb represent 2 Thus, one can count from 0 to 15 with one byte. For example: Fill in the table below.Explanation / Answer
0= 0*23 + 0*22 + 0*21 + 0*20 = 0000
1= 0*23 + 0*22 + 0*21 + 1*20 = 0001
2= 0*23 + 0*22 + 1*21 + 0*20 = 0010
3= 0*23 + 0*22 + 1*21 + 1*20 = 0011
4= 0*23 + 1*22 + 0*21 + 0*20 = 0100
5= 0*23 + 1*22 + 0*21 + 1*20 = 0101
6= 0*23 + 1*22 + 1*21 + 0*20 = 0110
7= 0*23 + 1*22 + 1*21 + 1*20 = 0111
8= 1*23 + 0*22 + 0*21 + 0*20 = 1000
9= 1*23 + 0*22 + 0*21 + 1*20 = 1001
10= 1*23 + 0*22 + 1*21 + 0*20 = 1010
11= 1*23 + 0*22 + 1*21 + 1*20 = 1011
12= 1*23 + 1*22 + 0*21 + 0*20 = 1100
13= 1*23 + 1*22 + 0*21 + 1*20 = 1101
14= 1*23 + 1*22 + 1*21 + 0*20 = 1110
15= 1*23 + 1*22 + 1*21 + 1*20 = 1111