Question

1. as taught in the video from the binary lesson, add the following binary numbers and select the correct answer. 10011001 11001101 533 256 358

Explanation:

Step1: Solve Question 14: Map 31 to binary

31 is the sum of $16 + 8 + 4 + 2 + 1$, so fill 1 in those columns, 0 in higher columns:

128	64	32	16	8	4	2	1

Step2: Convert binary to decimal (Q15)

First number: $10011001_2$
$=1\times2^7 + 0\times2^6 + 0\times2^5 + 1\times2^4 + 1\times2^3 + 0\times2^2 + 0\times2^1 + 1\times2^0$
$=128 + 0 + 0 + 16 + 8 + 0 + 0 + 1 = 153$
Second number: $11001101_2$
$=1\times2^7 + 1\times2^6 + 0\times2^5 + 0\times2^4 + 1\times2^3 + 1\times2^2 + 0\times2^1 + 1\times2^0$
$=128 + 64 + 0 + 0 + 8 + 4 + 0 + 1 = 205$

Step3: Add the two decimals

$153 + 205 = 358$

Answer:

14.

128	64	32	16	8	4	2	1

1. 358