Convert the following base ten (decimal) numbers into binary.

- 6 = 110₂
- 18 = 10010₂
- 51 = 110011₂
- 63 = 111111₂

Convert the following unsigned binary numbers into base ten.

- 1010 = 10₁₀ (ten)
- 1101 = 13₁₀
- 1000 = 8₁₀
- 10001 = 17₁₀

What do all

**odd**numbers have in common, when written in binary? (Hint: try writing the quantities 3, 5, 7, 9, 11 in binary.)Odd numbers always end with a 1.

Using 7-bit signed (two’s complement) binary numbers, what is the largest positive number? What is the most negative number?

Largest is +63, most negative is –64.

Convert the following 5-bit

**signed**(two’s complement) binary numbers into base ten.- 01101 = +13
- 01111 = +15
- 10011 = –13
- 11111 = –1

Convert the following 16-bit binary number into hexadecimal, and then into octal.

`0 1 1 1 1 1 1 1 0 0 1 1 1 0 1 0`

Hexadecimal: 0111,1111,0011,1010 = 7F3A

Octal: 0,111,111,100,111,010 = 77472 (I initially had a mistake here.)Convert the following hexadecimal numbers into binary:

- 9D = 1001,1101
- C4 = 1100,0100
- A17E = 1010,0001,0111,1110

Add and verify the following

**unsigned**binary numbers.We

*keep the extra carry bit,*because these are unsigned and I didn’t say they were fixed width!`1 1 1 1 1 1 1 1 1 0 1 1 1 1 = 47 1 1 0 1 1 1 = 55 + 1 1 1 0 1 = 29 + 1 0 0 1 0 0 = 36 —————————————— —————————————— 1 0 0 1 1 0 0 = 76 1 0 1 1 0 1 1 = 91`