Question

What is the hexadecimal equivalent for 11000101?

Answer 1

Answer: C5₁₆ ⇔ 11000101₂ ⇔ 197⏨

Explanation: 11000101 is a binary number

it's equivalent decimal number is

1x2⁷+ 1x2⁶+0x2⁵ + 0x2⁴+0x2³+1x2²+0x2¹+1x2⁰ = 128+64+4+1 = 197

Hexadecimal system has equivalents in decimal system

0 ⇔0

1 ⇔ 1

2 ⇔ 2

3 ⇔ 3

4 ⇔ 4

5 ⇔ 5

6 ⇔ 6

7 ⇔ 7

8 ⇔ 8

9 ⇔ 9

10 ⇔A

11 ⇔B

12 ⇔C

13 ⇔D

14 ⇔E

15 ⇔F

197 ⇔??

To convert this decimal number in a hexadecimal number we have to divide it by 16

197/16

12,...

the quotient without the decimal part is multiplied by 16 and subtracted from the number

12x16 = 192

197-192 = 5

Then this number can be expressed as 12x16¹ + 5x16⁰ = 192 + 5 = 197

But in the hexadecimal system there are not digits > 9 , so 12 ⇔ C

197⏨ = Cx16¹ + 5x16⁰ = C5₁₆

Answer: C5₁₆ ⇔ 11000101₂ ⇔ 197⏨

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