How to Convert Binary to Hexadecimal

How to Convert Binary to Hexadecimal will show you how to to Master Binary to Hexadecimal conversion using easy steps. I will show you through examples how easy to do the conversion using two known methods. So, once you master the conversion, you will feel more confidence to move on to Hexadecimal conversion steps, it’s worth to mention conversion similarities sometimes among 10, 2, and 16 base systems which will make it easy to grasp and remember.

Converting Binary to Hexadecimal

E.g. Convert 10001110 binary to Hexadecimal

Method 1:

Step 1: starting from the right of the binary string: split the string to 2 nibbles: 1^st nibble 1110 and the 2^nd nibble 1000. Add only the ON places:

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

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

Add only the ON places

1^st Nibble: 1110 = 14 = E

2^nd Nibble: 1000 = 8

Step 2: Always write your Hex answer starting by the LAST Hex: 8E

Therefore, 10001110 equal to 8E Hex.

Note: Method 1 is faster and more recommended than Method 2.

Method 2:

Step 1: convert the binary string to Decimal first; write down the binary chart.

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

Add only the ON places: 128 + 8 + 4 + 2 = 142

Step 2: Now convert Decimal 142 to Hex. Write down the Hex chart and divide 142 by 16.

142/16=8 units of 16s in the 16’s place, with remainder of 14 units of 1s in the 1’s place.

256  16  1
  0   8  14

Therefore, 10001110 equal to 8E Hex.

Convert 11101 binary to Hexadecimal

Method 1:

Step 1: starting from the right of the binary string: split the string to 2 nibbles. Plug the 1^st and 2^nd nibble; add only the ON places:

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

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

1^st Nibble: 1101 = 13 = D

2^nd Nibble:  0001 = 1

Step 2: Always write your Hex answer starting by the LAST Hex: 1D

Therefore, 11101 binary equal to 1D Hex.

Method 2:

Step 1: Convert the binary string to Decimal first. Write down the binary chart.

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

Add only the ON places: 16 + 8 + 4 + 1 = 29

Step 2: Now convert Decimal 29 to Hex. Divide by 16: 29/16=1 with remainder of 13

256  16  1
  0   1  13

Therefore, 11101 binary equal to 1D Hex.

Convert 101011 Binary to Hexadecimal

Method 1:

Step 1: starting from the right of the binary string: split the string to 2 nibbles; add only the ON places in each nibble.

Note: by now you should be able to add the ON places for each nibble without the binary chart.

1^st Nibble: 1011 = 11 = B

2^nd Nibble: 0010 = 2

Step 2: Always write your Hex answer starting by the LAST Hex: 2B

Therefore, 101011 binary equal to 2B Hex.

Method 2:

Step 1: Convert the binary string to Decimal first. Write the binary chart.

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

Ad only the ON places: 32 + 8 + 2 + 1 = 43

Step 2: Now convert Decimal 43 to Hex. Divide 43 by base 16 to get it in Hex.

43/16=2 with remainder of 11. We have 2 units of 16s and 11 units of 1.

256  16  1
  0   2  11

Therefore, 101011 binary equal to 2B Hex.

Convert 1101111 binary to Hexadecimal

Method 1:

Step 1: starting from the right of the binary string: split the string to 2 nibbles; add only the ON places in each nibble.

1^st Nibble: 1111 = 15 = F

2^nd Nibble: 0110 = 6

Step 2: Always write your Hex answer starting by the LAST Hex: 6F

Therefore, 1101111 binary equal to 6F Hex.

Method 2:

Step 1: convert the binary string to Decimal First.

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

Add only the ON places: 64 + 32 + 8 + 4 + 2 + 1 = 111

Step 2: Now convert Decimal 111 to Hex. 111/16=6 with remainder of 15

16  1
 6  15

Therefore, 1101111 binary equal to 6F Hex.

Convert 100111010101011 Binary to Hexadecimal

Step 1: starting from the right of the binary string: split the string to nibbles; add only the ON places in each nibble.

1^st Nibble: 1011 = 11 = B

2^nd Nibble: 1010 = 10 = A

3^rd Nibble: 1110 = 14 = E

4^th Nibble: 0100 = 4

Step 2: Always write your Hex answer starting by the LAST Hex: 4EAB

Therefore, 100111010101011 binary equal to 4EAB Hex.

Method 2:

Step 1: convert the binary string to Decimal first: write a binary chart to accommodate the long binary string.

16384 8192 4096 2048 1024 512 256 128 64 32 16 8 4 2 1
    1    0    0    1    1   1   0   1  0  1  0 1 0 1 1

Add only the ON places:

16384 + 2048 + 1024 + 512 + 128 + 32 + 8 + 2 + 1 = 20139

Step 2: Now convert Decimal 20139 to Hex. Divide 20139 based on the Hex chart below, since 20,139 is bigger than 4,096, I have added 65,536 place value for more clarification.

Division Steps:

a. Since 65536 bigger than 20139 skip it and move on to the next place.

b. 20139/4096=4 units of 4096s with remainder of 3755.

c. 3755/256=14 units of 256s with remainder of 171.

d. 171/16=10 units of 16s with remainder of 11 units that goes for 1s place value.

65536  4096  256  16  1
    0     4   14  10  11

When dealing with Hex chart, always drop the left leading zeros; write your Hex answer starting from the left side. 4, 14(E), 10(A), and 11 is (B)

Therefore, 100111010101011 equal to 4EAB.

Note: The 1st method is faster when dealing with long binary strings.

Binary to Decimal and Hex Chart

After this practice, you should be able to know by heart all nibbles’ decimal value from 0000 (0) up to 1111 (15), and nibbles’ Hex value from 1010 (A) up to 1111 (F).

• 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

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