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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 10 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 11 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 11 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.

16 112 3

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

**Step 2:** convert 195 to binary next.

128 64 32 16 8 4 2 11 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 11 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 11 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 19 9

**Multiply:** 9 x 16 = 144 + 9 = 153

**Step 2:** convert 159 decimal to binary next.

128 64 32 16 8 4 2 11 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 = 000
**1** - 2 = 00
**1**0 - 3 = 00
**11** - 4 = 0
**1**00 - 5 = 0
**1**0**1** - 6 = 0
**11**0 - 7 = 0
**111** - 8 =
**1**000 - 9 =
**1**00**1** - 10 =
**1**0**1**0 = A - 11 =
**1**0**11**= B - 12 =
**11**00 = C - 13 =
**11**0**1**= D

- 14 =
**111**0 = E - 15 =
**1111**= F

**Subject Related**

By Wikipedia Hexadecimal | Math is Fun | Numbers Better Explained | Free Online Calculator | How to Master CCNA | R&S ICND1 and ICND2 | Network Warrior | CCNA R&S Study Guide | R&S 200-120 Official Guide | Routing and Switching Guide

**CCNA Routing and Switching**

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