Convert binary numbers to decimal and perform arithmetic operations.

Here are the solutions to your questions.

QUESTION ONE

a) Determine the outcomes of the following arithmetic problems:

i) $10000111_2 \div 101_2$

Step 1: Convert the binary numbers to decimal.
$10000111_2 = 1 \cdot 2^7 + 0 \cdot 2^6 + 0 \cdot 2^5 + 0 \cdot 2^4 + 0 \cdot 2^3 + 1 \cdot 2^2 + 1 \cdot 2^1 + 1 \cdot 2^0$
$= 128 + 0 + 0 +