Convert Decimal to Hexadecimal
1. Convert 10 to hexadecimal.
As 10 is already < 16 the we will refer to Hex Table and find 10’s hex value in it.
From Hex Table we get 10 = 10
Hexadecimal = 0x10
2. Convert 15 to hexadecimal.
As 15 is already < 16 the we will refer to Hex Table and find 15’s hex value in it.
From Hex Table we get 15 = F
Hexadecimal = 0xF
3. Convert 31 to hexadecimal.
Step 1:
- 31 ÷ 16 = 1 remainder 15
This gives:
- Quotient = 1
- Remainder = 15
Step 2:
- Quotient:
1→ hex digit is1 - Remainder:
15→ hex digit isF
Step 3:
- So, 31 in decimal = 0x1F in hex
4. Convert 64 to hexadecimal.
Step 1:
- 64 ÷ 16 = 4 remainder 0
This gives:
- Quotient = 4
- Remainder = 0
Step 2:
- Quotient:
4→ hex digit is4 - Remainder:
0→ hex digit is0
Step 3:
- So, 64 in decimal = 0x40 in hex
5. Convert 127 to hexadecimal.
Step 1:
- 127 ÷ 16 = 7 remainder 15
This gives:
- Quotient = 7
- Remainder = 15
Step 2:
- Quotient:
7→ hex digit is7 - Remainder:
15→ hex digit isF
Step 3:
- So, 127 in decimal = 0x7F in hex
6. Convert 255 to hexadecimal.
Step 1:
- 225 ÷ 16 = 15 remainder 15
This gives:
- Quotient = 15
- Remainder = 15
Step 2:
- Quotient:
15→ hex digit isF - Remainder:
15→ hex digit isF
Step 3:
- So, 255 in decimal = 0xFF in hex
7. Convert 1023 to hexadecimal.
Step 1:
- 1023 ÷ 16 = 63 remainder 15
As Quotient > 16: - 63 ÷ 16 = 3 remainder 15
This gives:
- Quotient = 3
- Remainder = 15
- Remainder = 15
Step 2:
- Quotient:
3→ hex digit is3 - Remainder:
15→ hex digit isF - Remainder:
15→ hex digit isF
Step 3:
- So, 1023 in decimal = 0x3FF in hex
8. Convert 4096 to hexadecimal.
Step 1:
- 4096 ÷ 16 = 256 remainder 0
As Quotient > 16: - 256 ÷ 16 = 16 remainder 0
As Quotient > 16: - 16 ÷ 16 = 1 remainder 0
This gives:
- Quotient = 1
- Remainder = 0
- Remainder = 0
- Remainder = 0
Step 2:
- Quotient:
1→ hex digit is1 - Remainder:
0→ hex digit is0 - Remainder:
0→ hex digit is0 - Remainder:
0→ hex digit is0
Step 3:
- So, 4096 in decimal = 0x1000 in hex
9. Convert 12345 to hexadecimal.
Step 1:
- 12345 ÷ 16 = 779 remainder 9
As Quotient > 16: - 779 ÷ 16 = 48 remainder 3
As Quotient > 16: - 48 ÷ 16 = 3 remainder 0
This gives:
- Quotient = 3
- Remainder = 0
- Remainder = 3
- Remainder = 9
Step 2:
- Quotient:
3→ hex digit is3 - Remainder:
0→ hex digit is0 - Remainder:
3→ hex digit is3 - Remainder:
9→ hex digit is9
Step 3:
- So, 12345 in decimal = 0x3039 in hex
10. Convert 65535 to hexadecimal.
Step 1:
- 65535 ÷ 16 = 4095 remainder 15
As Quotient > 16: - 4095 ÷ 16 = 255 remainder 15
As Quotient > 16: - 255 ÷ 16 = 15 remainder 15
This gives:
- Quotient = 15
- Remainder = 15
- Remainder = 15
- Remainder = 15
Step 2:
- Quotient:
15→ hex digit isF - Remainder:
15→ hex digit isF - Remainder:
15→ hex digit isF - Remainder:
15→ hex digit isF
Step 3:
- So, 65535 in decimal = 0xFFFF in hex
Convert Hexadecimal to Decimal
1. Convert hexadecimal A to decimal.
By Hex Table A → 10
2. Convert hexadecimal 1F to decimal.
= (1 × 16¹) + (F × 16⁰)
= (1 × 16) + (15 × 1)
= 16 + 15
= 31
3. Convert hexadecimal 3C to decimal.
= (3 × 16¹) + (C × 16⁰)
= (3 × 16) + (12 × 1)
= 48 + 12
= 60
4. Convert hexadecimal 7E to decimal.
= (7 × 16¹) + (E × 16⁰)
= (7 × 16) + (14 × 1)
= 112 + 14
= 126
5. Convert hexadecimal FF to decimal.
= (F × 16¹) + (F × 16⁰)
= (15 × 16) + (15 × 1)
= 240 + 15
= 265
6. Convert hexadecimal 100 to decimal.
= (1 × 16²) + (0 × 16¹) + (0 × 16⁰)
= (1 × 256) + (0 × 1) + (0 × 1)
= 256 + 0 + 0
= 256
7. Convert hexadecimal 1A3 to decimal.
= (1 × 16²) + (A × 16¹) + (3 × 16⁰)
= (1 × 256) + (10 × 16) + (3 × 1)
= 256 + 160 + 3
= 419
8. Convert hexadecimal 2F7 to decimal.
= (2 × 16²) + (F × 16¹) + (7 × 16⁰)
= (2 × 256) + (15 × 16) + (7 × 1)
= 512 + 240 + 7
= 759
9. Convert hexadecimal 3E8 to decimal.
= (3 × 16²) + (E × 16¹) + (8 × 16⁰)
= (3 × 256) + (14 × 16) + (8 × 1)
= 768 + 224 + 8
= 1000
10. Convert hexadecimal FFFF to decimal.
= (F × 16³) + (F × 16²) + (f × 16¹) + (F × 16⁰)
= (15 × 4096) + (15 × 256) + (15 × 16) + (15 × 1)
= 61440 + 3840 + 240 + 15
= 65535