Since digital circuits use only 0\'s and 1\'s to symbolically represent the low

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

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