Question

1. (02.01 mc) consider the following 6 - bit numbers: 001100, 110011, and 111111. which of the following decimal values is not equal to these binary numbers? (2 points) 12 26 63 51

Explanation:

Step1: Convert 001100 to decimal

$0\times2^5 + 0\times2^4+1\times2^3 + 1\times2^2+0\times2^1 + 0\times2^0=0 + 0+8 + 4+0 + 0 = 12$

Step2: Convert 110011 to decimal

$1\times2^5 + 1\times2^4+0\times2^3 + 0\times2^2+1\times2^1 + 1\times2^0=32 + 16+0 + 0+2 + 1 = 51$

Step3: Convert 111111 to decimal

$1\times2^5 + 1\times2^4+1\times2^3 + 1\times2^2+1\times2^1 + 1\times2^0=32 + 16+8 + 4+2 + 1 = 63$

Answer:

B. 26