Question

The binary value of the ASCII letter "c" is 0110 0011. Using the handy chart that we learned in the lesson, convert this number to its decimal value. You'll need to use some math for this question 128,64,32,16,8,4,2

Answer 1

Decimal value is 99

Explanation:

To convert 01100011 to decimal, we use the zero index method by counting from the last digit

0 = 7

1 = 6

1 = 5

0 = 4

0 = 3

0 = 2

1 = 1

1 = 0

Then we proceed by multiplying the binary digits by 2 and raising them to the power of their zero-index equivalent

(0*2^7) + (1*2^6) + (1*2^5) + (0*2^4) + (0*2^3) + (0*2^2) + (1*2^1) + (1*2^0)

=(0*128) + (1*64) + (1*32) + (0*16) + (0*8) + (0*4) + (1*2) + (1*1)

=0 + 64 + 32 + 0 + 0 + 0 + 2 + 1

= 64 + 32 +3

=99