PLACE VALUE CHART FOR CONVERSION FROM BINARY TO DECIMAL
|
Place Value |
2 ^ to Place Value |
Decimal Equivalent |
|
7 |
2^7 |
128 |
|
6 |
2^6 |
64 |
|
5 |
2^5 |
32 |
|
4 |
2^4 |
16 |
|
3 |
2^3 |
8 |
|
2 |
2^2 |
4 |
|
1 |
2^1 |
2 |
|
0 |
2^0 |
1 |
 |
Place the value of the binary digits raised to the power of its place value |
|
The binary
number 0 has no value and is not included in the conversion |
|
Write the binary
number on the line that says - Binary,
|
|
At any place
where there is a one, you carry down the one
|
|
For each one you carried down, determine it's value according to it's place value, add all the decimal numbers up to arrive at the answer. |
Place
Value
7
6
5
4
3 2
1 0
Decimal
128
64
32 16
8 4
2 1
Binary #
_______ _______ _______ ________ ________ ________ ________
Decimal Eq
_______ _______ _______ ________ ________ ________ ________
Carry Down _______ _______ _______ ________ ________ ________ ________
Answer ______________________
Place
Value
7
6
5 4
3
2
1 0
Decimal
128
64
32 16
8
4
2 1
Binary #
_______ _______ _______ ________ ________ ________ ________
Decimal Eq
_______ _______ _______ ________ ________ ________ ________
Carry Down _______ _______ _______ ________ ________ ________ ________
Answer ______________________
Place
Value
7
6
5 4
3
2
1 0
Decimal
128
64
32 16
8
4
2 1
Binary #
_______ _______ _______ ________ ________ ________ ________
Decimal Eq
_______ _______ _______ ________ ________ ________ ________
Carry Down _______ _______ _______ ________ ________ ________ _______
Answer ______________________
Place
Value
7
6
5 4
3
2
1 0
Decimal
128
64
32 16
8
4
2 1
Binary #
_______ _______ _______ ________ ________ ________ ________
Decimal Eq
_______ _______ _______ ________ ________ ________ ________
Carry Down _______ _______ _______ ________ ________ ________ ________
Answer ______________________
Example:
Place
Value
7
6 5 4
3 2
1 0
Decimal
128
64 32 16 8
4
2 1
Binary #
1 0
0 1
0 1
0 0
Decimal Eq.
128 0
0 16
0 4
0 0
Answer 128+16+4 = 148
