Binary Numbers
Counting
Count from zero to sixteen in binary.
Do NOT use a lookup table or
calculator to determine answers.
When finished, use a binary
calculator to check answers.
| Decimal | Binary |
| 0 | 0 |
| 1 | ? |
| 2 | ? |
| 3 | ? |
| 4 | ? |
| 5 | ? |
| 6 | ? |
| 7 | ? |
| 8 | ? |
| 9 | ? |
| 10 | ? |
| 11 | ? |
| 12 | ? |
| 13 | ? |
| 14 | ? |
| 15 | ? |
| 16 | ? |
Column Values
Write both the exponent and actual decimal value (e.g., 20 = 1)
for the first sixteen columns of binary.
Do NOT use a lookup table or
calculator to determine answers.
When finished, use a binary
calculator to check answers.
| Position | 16th | 15th | 14th | 13th | 12th | 11th | 10th | 9th | 8th | 7th | 6th | 5th | 4th | 3rd | 2nd | 1st |
| Power | ? | ? | ? | ? | ? | ? | ? | ? | ? | ? | ? | ? | ? | ? | ? | 20 |
| Value | ? | ? | ? | ? | ? | ? | ? | ? | ? | ? | ? | ? | ? | ? | ? | 1 |
Converting from Binary to Decimal
Convert the following binary numbers to decimal.
Do NOT use a lookup
table or calculator to determine answers.
When finished, use a binary
calculator to check answers.
| Binary | Decimal |
| 1 | ? |
| 11 | ? |
| 101 | ? |
| 1100 | ? |
| 10101 | ? |
| 110011 | ? |
| 1001001 | ? |
| 11100011 | ? |
Converting from Decimal to Binary
Convert the following decimal numbers to binary.
Do NOT use a lookup
table or calculator to determine answers.
When finished, use a binary
calculator to check answers.
| Decimal | Binary |
| 0 | ? |
| 2 | ? |
| 6 | ? |
| 13 | ? |
| 22 | ? |
| 63 | ? |
| 100 | ? |
| 198 | ? |
Determining the Number of Bits Needed
Determine the number of bits needed for the following.
Do NOT use a lookup
table or calculator to determine answers.
When finished, use a binary
calculator to check answers.
| Possibilities | Bits Needed |
| 2 | ? |
| 3 | ? |
| 6 | ? |
| 15 | ? |
| 30 | ? |
| 60 | ? |
| 100 | ? |
| 200 | ? |
| 500 | ? |
| 1000 | ? |
ANDing Binary Numbers
Determine the resulting binary number after ANDing a binary number and a
binary mask.
Do NOT use a lookup table or calculator to determine
answers.
When finished, use a binary calculator to check answers.
| Binary Number |
10001000 | 10011001 | 11010000 | 10101010 | 11001100 | 10111101 | 10000001 |
| Binary Mask |
10000000 | 11000000 | 11100000 | 11110000 | 11111000 | 11111100 | 11111110 |
| Binary ANDing Result |
???????? | ???????? | ???????? | ???????? | ???????? | ???????? | ???????? |
ANDing Decimal Numbers
Determine the resulting decimal number after ANDing a decimal number and a
decimal mask.
Note: You will need to convert from decimal-to-binary, perform
the ANDing, then convert the result from binary-to-decimal.
Do NOT use a
lookup table or calculator to determine answers.
When finished, use a
binary calculator to check answers.
| Decimal Number |
130 | 177 | 193 | 232 | 15 | 97 | 35 |
| Decimal Mask |
128 | 192 | 224 | 240 | 248 | 252 | 254 |
| Decimal ANDing Result |
??? | ??? | ??? | ??? | ??? | ??? | ??? |