Solve the following: a) 67433+4899+5432 b) 5324+8765+6543. Express the following in base two: a) 15_ten

Here are the solutions to your questions.

1) Solve the following

a) $67433+4899+5432$

Step 1: Add the first two numbers.

$$67433 + 4899 = 72332$$

Step 2: Add the result to the third number.

$$72332 + 5432 = 77764$$

The sum is $\boxed{\mathbf{77764}}$.

b) $5324+8765+6543$

Step 1: Add the first two numbers.

$$5324 + 8765 = 14089$$

Step 2: Add the result to the third number.

$$14089 + 6543 = 20632$$

The sum is $\boxed{\mathbf{20632}}$.

2) Express the following in base two.

a) $15_{ten}$

Step 1: Divide 15 by 2 repeatedly and note the remainders.
$15 \div 2 = 7$ remainder 1
$7 \div 2 = 3$ remainder 1
$3 \div 2 = 1$ remainder 1
$1 \div 2 = 0$ remainder 1

Step 2: Read the remainders from bottom to top.

$$$$