How to Convert Hexadecimal to Binary

How to Convert Hexadecimal to Binary will show you how easy to convert Hex to Binary, however, I recommend you read How to Convert Hexadecimal to Decimal first. This article will be the end of this section which I believe it was a lot of fun to know the ways of how you can convert back and fourth between Decimal, Binary, or Hexadecimal. Remember, Network and Storage devices depends heavily on Base number systems to express their values.

Converting Hexadecimal to Binary

E.g. convert F9 Hex to Binary

Method 1:

Step 1: flip F Hex to 15, now we have 15 and 9; ask yourself: what equal to each one of them in Binary?

15 = 1111

(8s place + 4s place + 2s place + 1s place = 15)

9 = 1001

(8s place + 1s place = 9)

Step 2: Write your answer From Left to Right starting by the First Nibble: 11111001

Therefore, F9 Hex equal to 11111001 Binary.

Note: Method 1 is faster than Method 2.

Method 2:

Step 1: Convert Hex to decimal first: write down the Hex chart on a piece of paper. Flip Hex alphabet to decimal, F=15 and we have 9, therefore, we have 15 units in 16’s place and we have 9 units in 1’s place.

256  16  1
  0  15  9

Multiply: Units by its Place: 15 units x 16 = 240 + 9 = 249

Step 2: convert 249 decimal to binary next.

128  64  32  16  8  4  2  1
  1   1   1   1  1  0  0  1

Therefore, F9 Hex equal to 11111001 binary.

Convert AA Hex to Binary

Method 1:

Step 1: flip AA to 10 and 10; ask yourself: what equal to each one of them in Binary?

10 = 1010  

(8s place + 2s place = 10)

10 = 1010 

(8s place + 2s place = 10)

Step 2: Write your answer From Left to Right starting by the First Nibble: 10101010

Therefore, AA Hex equal to 10101010 Binary.

Method 2:

Step 1: Convert Hex to decimal first: Flip A to 10 and the second A to 10 as well: write down your Hex chart.

16  1
10  10

Multiply: 10 x 16 = 160 + 10 = 170 Decimal

Step 2: convert 170 decimal to binary next.

128  64  32  16  8  4  2  1
  1   0   1   0  1  0  1  0

Therefore, AA Hex equal to 10101010 Binary.

Convert C3 Hex to Binary

Method 1:

Step 1: flip C to 12, now we have 12 and 3; ask yourself: what equal to each one of them in Binary?

12 = 1100

(8s place + 4s place = 12)

3 = 0011

(2s place + 1s place = 3)

Step 2: Write your answer From Left to Right starting by the First Nibble: 11000011

Therefore, C3 Hex equal to 11000011 in Binary.

Method 2:

Step 1: Convert Hex to decimal first: flip C to 13, now we have 13 and 3: write down your Hex chart.

16  1
12  3

Multiply: 12 x 16 = 192 + 3 = 195 decimal

Step 2: convert 195 to binary next.

128  64  32  16  8  4  2  1
  1   1   0   0  0  0  1  1

Therefore, C3 Hex equal to 11000011 binary.

Convert 103 Hex to Binary

Method 1:

Step 1: Split 103 Hex to 3 units, 1, 0, and 3; ask yourself: what equal to each one of them in Binary?

1 = 0001 

0 = 0000 

3 = 0011 

Step 2: Write your answer From Left to Right starting by the First Nibble: 100000011

Therefore, 103 Hex equal to 100000011 in Binary.

Method 2:

Step 1: Convert Hex to decimal first: split 103 Hex to 3 units, 1, 0, and 3: write down your Hex chart.

256  16  1
  1   0  3

Multiply: (256 x 1 = 256) + (16 x 0 = 0) + 3 = 259 decimal

Step 2: convert 259 decimal to binary next. (since 259 bigger than 256, start your binary chart with 256)

256  128  64  32  16  8  4  2  1
  1    0   0   0   0  0  0  1  1

Therefore, 103 Hex equal to 100000011 binary.

Convert 99 Hex to Binary

Method 1:

Step 1: Split 99 Hex, 9 and 9; ask yourself: what equal to each one of them in Binary?

9 = 1001

9 = 1001

Step 2: Write your answer From Left to Right starting by the First Nibble: 10011001

Therefore, 99 Hex equal to 10011001 in Binary.

Method 2:

Step 1: Convert Hex to decimal first: split 99 to 2 units, 9 and 9: write down your Hex chart.

16  1
9   9

Multiply: 9 x 16 = 144 + 9 = 153

Step 2: convert 159 decimal to binary next.

128  64  32  16  8  4  2  1
  1   0   0   1  1  0  0  1

Therefore, 99 Hex equal to 10011001 Binary.

Hex to Decimal and Binary Chart

After this practice, you should be able to know by heart all Hex value in decimal from 0 up to F, and Hex value in binary from 0000 up to 1111.

• 0 = 0000
• 1 = 0001
• 2 = 0010
• 3 = 0011
• 4 = 0100
• 5 = 0101
• 6 = 0110
• 7 = 0111
• 8 = 1000
• 9 = 1001
• 10 = 1010 = A
• 11 = 1011 = B
• 12 = 1100 = C
• 13 = 1101 = D
  
• 14 = 1110 = E
• 15 = 1111 = F

Subject Related

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